Past Events
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Wednesday, November 15, 2023
Zoe Wellner, Carnegie Mellon University
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
Often, continuous and discrete are treated as opposites of each other. The Borsuk--Ulam theorem states that for any continuous map from the sphere to Euclidean space, $fcolon S^dto R^d$, there is a pair of antipodal points that are identified, so $f(x)=f(-x)$. This theorem deals with continuous objects, is fundamentally topological, and yet, it has numerous applications to discrete results. We will look at how these methods apply to some problems, including chromatic numbers of Kneser graphs (like the Petersen graph which you see pictured) and the Ham Sandwich theorem: given a $d$-dimensional sandwich with $d$ ingredients, with a single cut you can split your sandwich in half such that every ingredient is exactly halved as well. We will also look at what it means to take a colorful generalization of a result and why it is helpful.
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Thursday, November 9, 2023
RKC 111 6:00 pm – 7:00 pm EST/GMT-5
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Wednesday, November 1, 2023
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
- Friday, October 27, 2023
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Thursday, October 26, 2023
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 5:00 pm – 7:00 pm EDT/GMT-4
Majoring (or interested) in science or math but unsure about whether grad school is right for you?
The Bard Interdisciplinary Science Research Accelerator is sponsoring a panel discussion, Q&A, and networking event with admissions administrators and faculty from across the region.
We’ll talk about what master’s and PhD programs are out there, what they are like, and how to optimize the rest of your time spent at Bard.
Panelists:
Delilah Gates
Gravity Initiative Postdoctoral Associate Research Scholar, Princeton University
Andrew Harder
Director of Graduate Admissions, Mathematics Department, Lehigh University
Emily Harms
Senior Associate Dean, The Rockefeller University
Felicia Keesing
David and Rosalie Rose Distinguished Professor of Science, Mathematics, and Computing, Bard College
Chris Lafratta
Professor of Chemistry, Bard College
Chuck Doran
Distinguished Visiting Professor of Mathematics and Physics, Bard College
Open to all Bard students, especially those moderated in mathematics or the sciences.
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Wednesday, October 25, 2023
Adam Sheffer, CUNY
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
The Szemerédi–Trotter theorem is a simple statement about points on lines in the plane. Surprisingly, this result turned out to be surprisingly useful. Over the past 20 years, it has been used to prove impressive results in combinatorics, number theory, harmonic analysis, model theory, theoretical computer science, and more.
In this talk, we will introduce the Szemerédi–Trotter theorem and see how it can be used in unexpected places. We will also chat about the current research front—how mathematicians are currently trying to extend this theorem.
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Wednesday, October 18, 2023
Jen Gaudioso ’95, Sandia National Labs
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Dr. Jen Gaudioso, the director of computing research at Sandia National Labs, will take you on a journey covering the breadth of computing and information science research at Sandia. She’ll cover the full spectrum of computer science, from fundamental research to real-world applications that impact crucial areas like energy security, climate science, engineering, and national security missions. Dr. Gaudioso will highlight some of the exciting possibilities that lie ahead in these fields such as quantum computing, neuromorphic computing, codesign strategies, and the ever-evolving realms of artificial intelligence and machine learning. Discover how these breakthroughs are reshaping our world and driving innovation. Join us to hear about the key research questions and collaborative partnerships essential to overcoming these complex challenges.
Jennifer Gaudioso ’95 is currently director of the Center for Computing Research at Sandia National Laboratories. She oversees research in discrete mathematics, data analytics, cognitive modeling, and decision support materials. Previously, Jen has served as director of the Center for Computation and Analysis for National Security, and also the International Biological and Chemical Threat Reduction Program. She served on two National Academies Committees that addressed biodefense issues. In addition to her Bard degree, Jen has a masters degree and PhD in physical chemistry from Cornell University.
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Wednesday, October 4, 2023
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Meenakshi McNamara, "Generalizations of the ErdH os--Ginzburg--Ziv Theorem Via Topology”
Skye Rotstein, “Billiard Dynamics on the Double Pentagon”
Josef Lazar, “Machine Learning for Emotional Text to Speech Modeling”
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Wednesday, September 27, 2023
Chris Elliott, Amherst College
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
I'll give an introduction to the mathematics behind supersymmetry. Supersymmetry is a novel idea in physics for a symmetry that relates two different sorts of elementary particle: "bosons", which describe the fundamental forces of nature, and "fermions", which make up matter. In mathematics we can study "super" versions of objects such as vectors, which have bosonic and fermionic components. I'll introduce some of these ideas, and end by presenting some novel calculations in the world of superalgebra developed by my undergraduate research students Osha Jones and Ziji Zhou this summer, which have applications to quantum physics in three dimensions.
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Wednesday, September 20, 2023
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
- Thursday, September 14, 2023
- Wednesday, September 6, 2023
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Wednesday, May 10, 2023
Susan D'Agostino, '91
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Long before Susan D’Agostino wrote, How to Free Your Inner Mathematician: Notes on Mathematics and Life (Oxford University Press, 2020), she was a student at Bard College in the late 1980s and early 1990s. There, she majored in anthropology, took nearly as many classes in film, and avoided the math department. She also filled countless journals sitting on the back steps of Manor House, nurturing a burning desire to write. But Bard writing faculty, including William Weaver, Chinua Achebe, John Ashbery, Mona Simpson, and Robert Kelly exuded a gentle, if unspoken, message that she needed more life experience to give her writing soul. And so, upon graduating from Bard, she moved into a small cabin 50 feet from a barn housing 42,000 chickens, took a job traveling through Central and South America, and began studying theoretical mathematics. Susan’s post-college path took her far from Annandale-on-Hudson, but the life perspective she cultivated at Bard continues to provide a true north in her life. In this talk, attendees will hear stories from her book that are focused on defining success for oneself in both math and life.
Susan D’Agostino is a science writer and mathematician whose work has been published in The Atlantic, Washington Post, Inside Higher Ed, Scientific American, Wired, Quanta, BBC, Nature, National Public Radio, and other outlets. She is the author of How To Free Your Inner Mathematician (Oxford University Press, 2020). Susan is the technology reporter at Inside Higher Ed, where she provides substantive analysis on pressing issues facing higher education today for 2.3 million monthly readers. Her writing has been recognized with fellowships from the Columbia University School of Journalism, Reuters Institute at Oxford University, the National Association of Science Writers, the Council for the Advancement of Science Writing, and the Heidelberg Laureate Forum Foundation. She earned a PhD in mathematics at Dartmouth College, an MA in science writing at Johns Hopkins University, and a BA in anthropology at Bard College.
- Wednesday, May 3, 2023
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Friday, April 28, 2023
John L. Bell, Western University
Hegeman 107 12:00 pm – 1:00 pm EDT/GMT-4
The concept of the continuum is one of the oldest in philosophy and mathematics. A continuum is conceived of as a continuous entity possessing no gaps or interruptions. We commonly suppose that space, time and motion are continua. The continuum concept was first systematically investigated by Aristotle c. 350 B.C. His major conclusion was that a continuum cannot be reduced to a discrete entity such as a collection of points or numbers. In the 17th century Leibniz’s struggle to understand the continuum led him to term it a labyrinth. In modern times mathematicians have formulated a set-theoretic, or “arithmetic” account of the continuum in discrete terms, although certain important thinkers, such as Brentano, Weyl and Brouwer rejected this formulation, upholding to Aristotle’s view that continua cannot be reduced to discreteness.
Closely allied to the continuum concept is that of the infinitely small, or infinitesimal. Traditionally, an infinitesimal has been conceived of, geometrically, as a part of a continuous curve so small that it may be regarded as “straight”, or, numerically, as a “number” so small that, while not coinciding with zero, is smaller than any finite nonzero number. The development of the differential calculus from the 17th century until the 19th century was based on these concepts.
In my talk I shall present a historical survey of these ideas.
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Wednesday, April 19, 2023
Kristina Striegnitz, Union College
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Data plays an increasing role in shaping our lives. It is, therefore, important to help non-experts understand, evaluate and draw inferences based on data. Data is often represented as graphs. However, prior research has shown that many people struggle with graph comprehension. We compared the effectiveness of presenting data as a graph to a text summary and to a combination of the two. Furthermore, we explored whether, in the combined presentation, color-coding or graph annotations helped non-expert readers better understand the underlying data.
Kristina Striegnitz is an associate professor of computer science at Union College in Schenectady, NY. Before coming to Union she did a postdoc with Justine Cassell at Northwestern University. Kristina has a joint PhD from Saarland University in Germany and University Henri Poincare, Nancy 1 in France. Her research is in natural language generation and dialog systems. She is particularly interested in embodied interactive systems that are situated in physical or virtual environments.
- Monday, April 17, 2023
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Wednesday, April 12, 2023
Alan Thompson, Loughborough University
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
A pseudolattice is a (multidimensional) grid of points, equipped with a function that takes two points from the grid and returns an integer. A simple example would be the grid of points (x,y) in the plane with integer coordinates x and y, along with the dot product which takes two such points (a,b) and (c,d) and returns the integer ac+bd. I begin with a gentle introduction to the theory of pseudolattices, before presenting two settings in which they show up in geometry. The first describes configurations of points and curves on surfaces, whilst the second encodes the geometry of families of tori over a disc. Interestingly, despite the fact that the two settings seem unrelated, the pseudolattices that show up in each setting are identical. This is an example of the general phenomenon of "mirror symmetry," first discovered by theoretical physicists, which says that many geometric objects which seem to be unrelated nonetheless share fascinating properties.
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Monday, April 10, 2023
Ursula Whitcher, American Mathematical Society
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Adinkras are decorated graphs that encapsulate information about the physics of supersymmetry. If we color the edges of an Adinkra with a rainbow of shades in a specific order, we obtain a special curve that we can study using algebraic and geometric techniques. We use this structure to characterize height functions on Adinkras, then show how to encapsulate the same information using data from our rainbow. This talk describes joint work with Amanda Francis.
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Wednesday, April 5, 2023
Karen Lange, Wellesley College
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
You can make a simple family tree by starting with a person at the root and then adding two branches for her parents, and then adding two branches for the parents of each of her two parents, and so on. Such a family tree is an example of a binary tree because each level of the tree has at most two branches. We'll see that every binary tree with infinitely many nodes has an infinite path; this result is called Weak Kőnig's Lemma. But just because we know a path exists, doesn't mean we can find it. Given Weak Kőnig's Lemma, it's natural to ask whether we can compute a path through a given binary tree with infinitely many nodes. It turns out the answer to this "Path Problem" is "no", so we say that the problem is not "computable". But then what exactly is the computational power of this Path Problem?
Using the Path Problem as a test case, we will explore the key ideas behind taking a "computable" perspective on mathematics (over an "existence" one) and describe an approach for measuring the computational power of mathematical problems. We'll see that the computational power of problems varies widely and studying problems' power helps to illuminate what really makes problems "tick". This talk will highlight ideas from graph theory, theoretical computer science, and logic, but no background in any of these subjects is necessary.
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Wednesday, March 15, 2023
Rylan Gajek-Leonard, '16, Union College
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
We all have an intuitive notion of 'distance' between two numbers. For example, we might say that the distance between the numbers 3 and 5 is 2, and the distance between -5 and 1 is 6. But what do we really mean by 'distance'? Are there other ways to measure numbers? It turns out that the answer is yes: for every prime number p, there is a way to measure numbers in terms of their divisibility by p. In doing this, we are led to the world of "p-adic numbers", a strange place where all triangles are isosceles and where every point in a circle is its center. The theory of p-adic numbers permeates nearly all aspects of modern number theory. In this talk, we will define and gain intuition for the p-adic numbers and see some of their applications to problems in number theory.
Rylan completed his bachelor's degree in mathematics and music performance at Bard College, where he was also a cellist in the conservatory. He obtained a master's degree from the University of Cambridge, where he also performed with the Cambridge Philharmonic, and a PhD from UMass Amherst. Rylan currently teaches at Union College in Schenectady, New York. His research is in algebraic number theory and arithmetic geometry.
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Wednesday, March 8, 2023
James Marshall, Sarah Lawrence College
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
Since the 1920s, physicists and philosophers have been trying to understand the strangeness of the subatomic world as revealed by quantum theory, but it wasn't until the 1980s that computer scientists first began to suspect that this strangeness might represent a source of immense computational power. This realization was soon followed by key theoretical advances, including the discovery of algorithms that harness the quantum phenomena of superposition and entanglement, enabling quantum computers in principle to solve certain problems far more efficiently than any conventional computer. Around the same time, researchers built the first working quantum computers, albeit on a very small scale. Today the multidisciplinary field of quantum computing lies at the intersection of computer science, mathematics, and physics, and is one of the most fascinating areas in science, with potentially far-reaching consequences for the future. In this talk I will give an overview of the basic mathematical ideas behind quantum computing, and use them to illustrate two particularly interesting results: the quantum search algorithm, and quantum teleportation.
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Wednesday, March 1, 2023
Alejandro Morales, University of Massachusetts
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
Flow polytopes are an important class of polytopes in combinatorics whose lattice points and volumes have interesting properties and relations to other parts of geometric and algebraic combinatorics. These polytopes were recently related to (multiplex) juggling sequences of Butler, Graham, and Chung. The Chan-Robbins-Yuen (CRY) polytope is a flow polytope with normalized volume equal to the product of consecutive Catalan numbers, one of the most well-known sequences in combinatorics. Zeilberger proved this by evaluating the Morris constant term identity, but no combinatorial proof is known. In this talk we will talk about the connection between juggling and (flow) polytopes and introduce a new refinement of the Morris identity with combinatorial interpretations both in terms of lattice points and volumes of flow polytopes.
Alejandro Morales is originally from Colombia and got his B.Math. from the University of Waterloo and a Ph.D. from MIT, working with Professor Alexander Postnikov. After postdocs at Université du Québec à Montréal and UCLA, he started a tenure-track position at UMass, Amherst where he is part of the Discrete Mathematics group. Morales works in enumerative and algebraic combinatorics and uses bijections, symmetric functions, and tools from algebra to study several objects including linearizations of posets, polytopes associated to graphs, and factorizations of permutations. Morales' research is funded by grants of the National Science Foundation and is a handling Editor of the mathematician owned journal Combinatorial Theory. You can see videos, slides, code, and conjectures of the work of Morales here: ahmorales.combinatoria.co
- Wednesday, February 15, 2023
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Wednesday, February 8, 2023
Tifin Calcagni, The Global Math Circle
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
Magic squares are mathematical structures that have been known since ancient times; most likely many of their properties are still left undiscovered. Magic squares are an ideal topic for mathematical exploration and discovery with participants of all levels. Since 2020, Global Math Circle has carried out this activity with various groups. This topic was the foundation of a whole circle project in Colombia. We made five versions in which children of the United States 2020-I, 2022-II, Colombia 2020-I (urban online), Colombia/Peru 2021-II (urban online), 2022-II Colombia (Rural Face-to-face). Exploration of magic squares lead to discussions ranging from basic arithmetic, combinatorics, geometry, vector spaces, and more. We want to show you how to use magic squares as a springboard topic to get at larger mathematical explorations with students of diverse backgrounds and readiness levels.
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Friday, February 3, 2023
Brandon Look, University of Kentucky
Olin 204 12:00 pm – 1:00 pm EST/GMT-5
In his book on Leibniz's philosophy, Bertrand Russell writes that his first reaction to Leibniz's metaphysics was to think of it as "a kind of fantastic fairy tale, coherent perhaps, but wholly arbitrary." Upon further study, though, he saw that "this seemingly fantastic system could be deduced from a few simple premises, which, but for the conclusions which Leibniz had drawn from them, many, if not most, philosophers would have been willing to admit." While Russell's logicist interpretation of Leibniz has, to a degree, fallen out of favor among Leibniz scholars, I want to show that there is something right about reading Leibniz this way. In my talk, then, I shall present the core premises of Leibniz's thought and show how his metaphysics follows from them.
- Wednesday, February 1, 2023
- Tuesday, December 13, 2022
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Wednesday, November 16, 2022
Leon Horsten, Universitat Konstanz
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
In my talk, I consider the kinds of reasons that a mathematician has for believing in mathematical statements. Moreover, we investigate some of the epistemic concepts that are connected to these reasons, such as justification, mathematical justification, proof, formal proof, philosophical proof.
This area is the battleground of the disputes between the philosophers of mathematical practice on the one hand, and the ‘traditional’ philosophers of mathematics on the other hand. I will argue for a middle road in this debate.
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Wednesday, November 9, 2022
Jeff Suzuki, Brooklyn College
RKC 111 12:00 pm – 1:00 pm EST/GMT-5
Everyone knows that calculus was invented by Newton. Or Leibniz. Actually, the real inventor was Isaac Barrow (Newton’s teacher), but Pierre de Fermat (1601–1661) solved all three of the main problems of calculus: finding tangents, extreme values, and areas under a curve. We’ll introduce Fermat’s method, then show how it leads to the familiar result that the integral of 1/x is ln x, and e as the base of the natural logarithmic function.
Jeff Suzuki was probably born indecisive, and double majored in history and mathematics with a concentration in physics. He avoided having to choose between them by writing a dissertation on the history of celestial mechanics. Since then, he’s done everything possible to avoid specialization, venturing into constitutional law, patents, and mathematics education, and as of this past weekend, is looking into the possibility of developing an open-world game based around mathematics.
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Friday, November 4, 2022
Lisa Shabel, Ohio State University
Barringer House 12:00 pm – 1:00 pm EDT/GMT-4
Kant’s metaphysical project is framed by his revolutionary claim that some judgments are both synthetic and a priori knowable: one must seek their justification independent of sense experience (i.e., they are a priori) and yet the meaning of such judgments cannot be grasped via conceptual analysis (i.e., they are non-analytic). Kant claims further that allmathematical truths have this distinctive character, and he came to this view by reflecting on mathematical practice. We will discuss how to understand Kant’s view of mathematical truth in light of the mathematics with which he was engaged.
- Wednesday, November 2, 2022
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Friday, October 28, 2022
Andrew Gregory, University College London
Hegeman 204 12:00 pm – 1:00 pm EDT/GMT-4
Plato's use of number in his music theory, theory of matter, and cosmology raises some interesting questions in metaphysics and philosophy of science. What is the relation between mathematics, physics, and the world? Is there a beauty and simplicity to some mathematics and does that capture the nature of the world? What is the distinction (historical, philosophical) between mathematical physics and numerology? This paper looks at the nature and influence of Plato's views.
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Monday, October 24, 2022
James D. Lewis, University of Alberta
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
In topology, there is the notion of a linking number of two oriented disjoint curves in affine 3-space. An algebraic generalization is the concept of a height pairing, which lies at the confluence of arithmetic and geometry. We explain a motivating example situation in an algebraic geometric setting. This talk is targeted to a general audience.
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Friday, October 21, 2022
Reem-Kayden Center 4:00 pm – 6:00 pm EDT/GMT-4
Join our summer research students as they present their work!
Download: BSRI abstract booklet F22-3.pdf -
Wednesday, October 19, 2022
Karin Reinhold Larsson, SUNY Albany
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Canadian-American astronomer Simon Newcomb was the first to notice the curious fact that the ten digits do not occur with the same frequency in logarithmic tables. This weird fact was observed on other sequences in nature such as the Fibonacci sequence, powers of two and factorials. We will learn a little of the history of Benford’s Law (BL) and do some simulations that will give us an insight to understand the reason behind BL. It turns out that many real life datasets follow BL. Understanding which processes follow BL has provided useful applications of BL into financial fraud detection.
Karin Reinhold Larsson is an associate professor at the University at Albany, SUNY. She was born in Argentina, obtained a licenciatura in mathematics from the University of Buenos Aires and a PhD in mathematics from Ohio State University. Her main research interests are in Ergodic Theory with connections to probability and harmonic analysis. She has served as president of the University Senate and she is involved the local community serving as statistical consultant in our own Peace Project.
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Tuesday, October 4, 2022
Elana Kalashnikov, University of Waterloo
RKC 111 5:00 pm – 6:30 pm EDT/GMT-4
Algebraic geometry is the study of ‘shapes’ cut out by polynomial equations. One of the major open problems facing mathematicians today is how to classify these shapes. More complicated shapes can be broken into basic building blocks - so to classify all varieties it suffices to classify the basic building blocks. In this talk, we’ll explain how insights in string theory have given mathematicians a promising way of classifying the building blocks using Mirror Symmetry. The key idea is that each building block should correspond to certain decorated polytopes. Given a building block, the question is then how to produce such a polytope: this is done by degenerating the equations cutting out the shape of the building block. We’ll discuss what’s known about this approach, and what’s left to do, along with explicit examples.
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Wednesday, September 28, 2022
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Antu Santanu “Towards a Universal Gibbs Phenomenon”
Felicia Flores & Darrion Thornburgh “2-Caps in the Game of EvenQuads”
Tina Giorgadze “Simplifying Text Using Sentence Fusion Graph”
Hannah Kaufmann “Data Assimilation for Geophysics Models: Glaciers and Storm Surge”
Josef Lazar “A Closer look at Projective SET”
Daniel Rose-Levine "Fun with Quads"
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Wednesday, September 21, 2022
Pamela E. Harris, University of Wisconsin-Milwaukee
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
Multiplex juggling sequences are generalizations of juggling sequences (describing throws of balls at discrete heights) that specify an initial and terminal configuration of balls and allow for multiple balls at any particular discrete height. Kostant’s partition function is a vector function that counts the number of ways one can express a vector as a nonnegative integer linear combination of a fixed set of vectors. What do these two families of combinatorial objects have in common? Attend this talk to find out!
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Wednesday, September 14, 2022
Liz McMahon, Lafayette College
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
The card game SET is played with a special deck of 81 cards. There is quite a lot of mathematics that can be explored using the game; understanding that mathematics enhances our appreciation for the game, and the game enhances our appreciation for the mathematics! We’ll look at questions in combinatorics, probability, linear algebra, and especially geometry. There's also a Daily Puzzle, and we have found some interesting things out about that. If you’d like some practice before the talk, go to www.setgame.com (which will redirect you) for the rules and the Daily Puzzle.
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Wednesday, September 7, 2022
Moshe Cohen, SUNY New Paltz
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
A line arrangement is a finite collection of lines in the plane. We can study a line arrangement using algebra and geometry by looking at equations of lines as in high school algebra. We can study this using combinatorics by looking at the points that are intersections of lines. We can study this using topology by looking at the complement -- the leftover space. We can ask if the combinatorial information forecasts the topological information of the complement by studying the moduli space of all geometric realizations. I will introduce several fun problems for us to work on to help acquaint ourselves with this topic and its many complexities. No specific background is required.
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Wednesday, August 31, 2022
Learn about the math major, meet other math students and faculty, learn about our weekly seminar, and have pizza!
RKC 111 12:00 pm – 1:00 pm EDT/GMT-4
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Wednesday, August 17, 2022
Reem-Kayden Center Laszlo Z. Bito ‘60 Auditorium 4:00 pm – 6:00 pm EDT/GMT-4
Questions about the Math Placement? Confused about what math course to take? Japheth Wood, Director of Quantitative Literacy, will be available to answer your questions.
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Tuesday, August 16, 2022
Reem-Kayden Center, Laszlo Z. Bito ‘60 Auditorium 4:00 pm – 6:00 pm EDT/GMT-4
Questions about the Math Placement? Confused about what math course to take? Japheth Wood, Director of Quantitative Literacy, will be available to answer your questions.
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Tuesday, May 17, 2022
Reem-Kayden Center 5:00 pm – 6:30 pm EDT/GMT-4
Abstract booklet below!
Download: Senior Project Poster session booklet S22-1.pdf -
Wednesday, May 11, 2022
Andrew Schultz, Wellesley College
Hegeman 204A 12:00 pm – 1:00 pm EDT/GMT-4
Binomial coefficients are a staple in the world of combinatorics. Their usefulness in enumeration is nearly unparalleled, but their humble beginnings belie intricate structure and surprising depth. In the pursuit of understanding binomial coefficients more completely, one can encode them in a family of polynomials called Gaussian coefficients. Do these Gaussian coefficients have their own structure and depth? In this talk we'll introduce the Gaussian coefficients and see some surprising ways in which they are (almost!) as nice as their more famous brethren (and maybe a way or two in which they are even nicer).
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Monday, May 9, 2022
Matt Kerr
Washington University-St. Louis
Hegeman 204A 12:00 pm – 1:00 pm EDT/GMT-4
Then first you'll have to construct the table, which game regulations insist must pass through five given points. When you're done with that I’ll pick N<10, and to beat me you have to shoot the ball (from wherever I put it) so it returns in exactly N steps to where it started.
If you're not put off by a vector space of polynomials, you can make the elliptic table; and if you know how to spot a complex torus, then (with practice and foci) you can win. This is how I trap unsuspecting students into learning a bit of algebraic geometry.
Because the real title of this talk is: two theorems on conics in the plane!
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Wednesday, April 20, 2022
Shira Zerbib, Iowa State University
Hegeman 204A 12:00 pm – 1:00 pm EDT/GMT-4
The KKM theorem, due to Knaster, Kuratowski and Mazurkiewicz in 1929, is a topological lemma reminiscent of Sperner's lemma and Brouwer's fixed point theorem. It has numerous applications in combinatorics, discrete geometry, economics, game theory and other areas. Generalizations of this lemma, in several different directions, were proved over the years (e.g., by Shapley, Gale, Komiya, Soberon) and have been widely applied as well. We will discuss a recent common generalization of all these theorems. We will also show two very different applications of KKM-type theorems: one is a proof of a conjecture of Eckhoff from 1993 on the line piercing numbers in certain families of convex sets in the plane, and the other is a theorem on fair division of multiple cakes among players with subjective preferences.
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Wednesday, April 13, 2022
Marcus Michelen, University of Illinois-Chicago
Hegeman 204A 12:00 pm – 1:00 pm EDT/GMT-4
Consider a polynomial of degree n whose coefficients are -1 or 1 independently and randomly chosen. What do its roots typically look like? It turns out that random polynomials are an example of a very common phenomenon: large random structures typically exhibit a lot of predictable behavior. I'll discuss some common examples of this phenomenon, discuss the case of random polynomials, and also explain some applications of these random objects to other fields of math and computer science. No experience in probability will be expected or required; the goal is to give a gentle introduction to some deep facts.
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Wednesday, March 16, 2022
Natalie Frank, Vassar College
Hegeman 204A 12:00 pm – 1:00 pm EDT/GMT-4
"Aperiodic order" is the study of highly ordered structures that fall just short of being periodic. Geometric questions in mathematics and decidability questions in logic provided early theoretical models of such structures. The Nobel Prize-winning discovery of physical quasicrystals in the 1980s led to the wider interest in aperiodically ordered structures. This talk will describe the mathematics of symmetry, the central role symmetry played in the discovery of quasicrystals, and the mathematical models that are used to describe quasicrystals today.
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Wednesday, February 23, 2022
Caitlin Leverson, Math Program
Hegeman 204A 12:00 pm – 1:00 pm EST/GMT-5
Knots, which you can think of as a string knotted up with the ends glued together, are simple to define but are challenging to tell the difference between. We will discuss a few interesting invariants, algorithms to associate a number to a knot, which we can use to help differentiate between knots. We will also talk about a related notion of knots, called Legendrian knots, where we add a geometric condition. No previous knowledge of knots will be assumed.
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Friday, February 11, 2022
Andrew Harder, Lehigh University
Hegeman 107 12:00 pm – 1:00 pm EST/GMT-5
An elliptic Lefschetz fibration is a smooth 4-manifold M (possibly with boundary) which admits a map to a surface S (possibly with boundary), and so that all but a finite number of fibers are diffeomorphic to a 2-torus, and the rest are homeomorphic to a “pinched” 2-torus. The classification of elliptic Lefschetz fibrations can be reduced to a (hard) problem in linear algebra whose solution is known in several cases — for instance, a theorem of Moishezon and Livné says that if S is just the 2-sphere then it is known that any elliptic Lefschetz fibration has 12n fibres which are pinched 2-tori for some integer n, and that the topology of M is completely determined by n.
Surprisingly, the situation where S is a 2-dimensional disc, despite being well studied, is not completely understood. In this talk, I will discuss an answer to this problem under certain conditions on the boundary of M and on the number of fibres which are singular. We reduce this problem to a question about linear algebraic objects called pseudo-lattices and apply a theorem of Kuznetsov to give a concrete description of a class of elliptic Lefschetz fibrations. Finally I will discuss my motivation for considering this problem and how this classification theorem reflects the numerical classification of weak del Pezzo surfaces in algebraic geometry. This is based on joint work with Alan Thompson.
- Tuesday, December 14, 2021
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Tuesday, December 7, 2021
Justin Shin, University of Pittsburgh
Hegeman 102 4:00 pm – 5:00 pm EST/GMT-5
US law recognizes that statistical evidence can play an important role in determining whether or not an organization is guilty of discrimination. At the same time, legal scholars have cast doubts on the appropriateness of mathematical evidence and probabilistic standards in jurisprudence. As Laurence Tribe famously notes, mathematical evidence poses a special danger because it is often both impressive and inscrutable to the typical juror. How do we square concerns about statistical evidence with its use in discrimination law? One solution is to recognize the causal nature of discrimination and understand the concerns with statistical evidence as concerns to do with causal relevance. With recent developments in causal modeling, new kinds of statistical evidence give rise to fresh concerns about the role of statistics in law while breathing new life into old complaints. Discrimination has inescapable causal baggage, and some reform in discrimination law and jurisprudence as a whole is needed if evidence from causal modeling is to be appropriately digested by US courts.
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Tuesday, November 16, 2021
Hegeman 102 4:00 pm – 5:00 pm EST/GMT-5
Tina Giorgadze
"Building an Agent-based Computational Model of Chimeric Antigen Receptor (CAR) T-Cell Immunotherapy in Triple-Negative Breast Cancer Using Binary Distribution of Antigens"
Hannah Kaufmann
"Minimal Presentation Sizes of Numerical Semigroups"
A numerical semigroup is a subset of integers closed under addition, while a minimal presentation is a choice of minimal relations between generators of the numerical semigroup. It is a well-known fact that if m is the smallest positive element, then the size of the minimal presentation is at most m choose 2. Finding the possible minimal presentation sizes of numerical semigroups whose smallest positive element, or multiplicity, is m has been a long-standing open problem. In this talk, we introduce the role of embedding dimension in determining the attainable minimal presentation sizes. For each pairing of multiplicity and embedding dimension, we present multiple classes of numerical semigroups and pose upper and lower bounds. Our methods are not only combinatorial, but also involve posets and betti elements.
Verity Scheel
"Embedding Dimensions of Simplicial Complexes on Few Vertices"
As the result of summer research with Steve Simon (Bard) and Florian Frick (CMU), we found a straightforward characterization of simplicial complexes on few vertices that embed into the d-sphere. Simplicial complexes can be studied both as geometric objects embedded into space and as combinatorial set systems, and our result provides a simple combinatorial property that corresponds to topological characteristics of the same object. In particular, a simplicial complex on d+3 vertices embeds into the d-sphere if and only if its non-faces do not form an intersecting family. Like the case of planar graphs, we show in addition that such complexes satisfy the rigidity property that continuous and linear embeddability are equivalent.
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Wednesday, November 3, 2021
Hegeman 308 12:30 pm – 1:30 pm EDT/GMT-4
Talia Willcott, Ansel Tessier, Rachael Yoder, Andrew Stafford, Verity Scheel, Julia Sheffler
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Tuesday, November 2, 2021
Amalia Culiuc, Amherst College
Hegeman 102 4:00 pm – 5:00 pm EDT/GMT-4
In 1807, Jean-Baptiste Joseph Fourier's study of the theory and flow of heat led to the publication of his "Mémoire sur la propagation de la chaleur dans les corps solides" (Treatise on the propagation of heat in solid bodies). This work, which introduced the notion of representing continuous functions in terms of sums of trigonometric functions, continues to be celebrated today as a foundational collection of ideas for the modern mathematical field of harmonic analysis. With applications ranging from signal processing to medical imaging, Fourier theory remains an active area of research to this day. In this talk we will give a brief introduction to Fourier series, their convergence properties, and the beautiful mathematics they helped create. No background beyond a second semester calculus course will be assumed.
- Friday, October 22, 2021
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Friday, October 22, 2021
Dani Schultz
Merck Pharmaceuticals
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 12:10 pm – 1:10 pm EDT/GMT-4
Aspects of this session will highlight my journey from a small town in northern Wisconsin to the bustling east coast where leaning into discomfort has been critical in driving my career at Merck and the chemistry that I have pursued. Throughout my career, I have tapped into my ability to forge meaningful collaborations, internally and externally, to challenge the status quo and drive disruptive thinking – both in chemistry but also in improving STEM culture. I’ll briefly touch upon some recently completed academic-industrial research collaborations that aimed to empower early-career female professors and provide a platform to mentor and train female professors and students in pharmaceutical research. Throughout all of this, I have a passion for diversity, equity and inclusion and will share how I’ve navigated raising important, and at times difficult, topics and how to influence workplace culture. I’ve learned a lot through failed experiments along the way and I am looking forward to an active discussion with fellow changemakers!
Dani Schultz received her PhD from the University of Michigan working with Professor John Wolfe and was an NIH postdoctoral fellow at the University of Wisconsin-Madison with Professor Tehshik Yoon. Since joining Merck in 2014, Dani has been a member of Process Chemistry and Enabling Technologies in Rahway, NJ and as of 2021 became the Director of the Discovery Process Chemistry group in Kenilworth, NJ. Throughout her time at Merck, Dani has been involved in the development of synthetic routes for drug candidates spanning HIV and oncology – forging meaningful collaborations, both internally and externally, to address the synthetic challenges that occur during pharmaceutical development. Most recently, she has served as co-host to the Pharm to Table podcast that aims to elevate the people and stories behind #MerckChemistry.
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Thursday, October 21, 2021
Chuck Doran, University of Alberta
Olin 306 3:00 pm – 4:00 pm EDT/GMT-4
Starting from a humble pair of points, we will “twist” our way up Calabi-Yau fibered spaces, through the hidden geometries of String Theory and Mathematics. Along the way, we’ll explore the subtle interplay between geometry, algebra, and topology. This talk is designed to be broadly accessible to undergraduates. All are welcome.
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Tuesday, October 19, 2021
Miriam Kuzbary, Georgia Institute of Technology
Hegeman 102 4:00 pm – 5:00 pm EDT/GMT-4
Knot theory is a rich and active area of research involving questions of interest both to mathematicians and to researchers outside of mathematics, and many of these questions boil down to a single essential query: how can one tell when two knots are different? In this talk, we will discuss why this is a difficult question to answer. In particular, we will learn about polynomials used to detect properties of knots and the surprising geometric implications of some knot polynomials.
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Wednesday, October 6, 2021
Join MoMath for "QUADS: a SET®-like game" featuring Lauren Rose, Associate Professor of Mathematics at Bard College
Online Event 4:00 pm – 5:00 pm EDT/GMT-4
How good are your pattern-recognition skills? Find out as you learn this exciting, new SET®-like card game, QUADS. Join us for an evening of fun as Lauren Rose, Associate Professor of Mathematics at Bard College, shares the rules of this engaging game she co-invented, then dive beneath the surface to see how combinatorics, probability, and algebra are the underlying mathematical engines that drive the fun.
Special introduction by Liz McMahon, Professor of Mathematics at Lafayette College, and Gary Gordon, Marshall R. Metzgar Professor of Mathematics at Lafayette College.
You can join in by participating in a live-stream broadcast of the event.
Registration is free. Choose from two sessions:
Math Encounters (online)
Register for 4:00 pm ET (New York) session
Register for 7:00 pm ET (New York) session
Math Encounters (mathencounters.org) is MoMath's popular free public presentation series celebrating the spectacular world of mathematics, produced with support from the Simons Foundation.
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Tuesday, October 5, 2021
John Cullinan, Mathematics Program
Hegeman 102 4:00 pm – 5:00 pm EDT/GMT-4
Much of modern number theory involves studying solutions to equations with integer coefficients. By combining techniques of geometry and abstract algebra, mathematicians have been able to solve fundamental questions, such as Fermat's Last Theorem and the Sato-Tate Conjecture.More recently, statistics has become an important tool for studying number theoretic problems that resist classical techniques. In this talk, we will introduce this area of mathematics by focusing on three specific examples taken from three different areas of number theory. We will also do some real-time computation and data generation. This talk should be accessible to anyone who has taken Proofs and Fundamentals.
- Tuesday, September 21, 2021
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Tuesday, September 21, 2021
Orsola Capovilla-Searle, University of California-Davis
Hegeman 102 4:00 pm – 5:00 pm EDT/GMT-4
Contact topology arose from the study of Hamiltonian dynamics, and is a field with applications to dynamics, optics, thermodynamics, fluid mechanics, geometry, and topology. A 3-dimensional space with a contact structure is a space with a plane associated to every point where the planes twist in a specific way. Legendrian submanifolds of a contact 3-dimensional space are special submanifolds that lie tangent to the planes in the contact structure.
A knot in 3-dimensional space is a tangled string whose endpoints have been glued together. A link is a disjoint union of knots. A Legendrian knot is a knot that also lies tangent to the planes in the contact structure in the 3-dimensional space. Two Legendrian knots are distinct if I can't "wiggle" one to the other while always staying tangent to the planes in the contact structure.
If one considers a 4-dimensional space X with a 3-dimensional boundary Y , one can study surfaces in X whose boundary is a link in Y. By adding geometrical constraints to such a space X and the surface, the link can be Legendrian. I will talk about some results on Lagrangian surfaces whose boundary are Legendrian links.
**Following the seminar, please join us in the Ludlow tent for the Math Program Open House! Refreshments available!**
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Tuesday, September 7, 2021
Adam Lowrance, Vassar College
Hegeman 102 4:00 pm – 5:00 pm EDT/GMT-4
Take off your shoelaces, tie them up, and fuse the two ends together to form a continuous lace without ends. Now you have a mathematical knot. Two knots are the same if you can move, bend, and stretch one until it looks exactly like the other. Now take a flashlight and point it at your knot. The shadow of your knot on the wall is called a knot diagram or a knot projection.
One common way to study knots is via their invariants, quantities that are associated with the knot that do not change regardless of how the knot is presented. One such invariant is the Jones polynomial. In this talk, we define the Jones polynomial of a knot and discuss what the Jones polynomial tells us about a knot.
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Thursday, May 20, 2021
Join our graduating seniors in presenting their research!
Main Commencement Tent 5:30 pm – 7:00 pm EDT/GMT-4
Please see the abstract booklet below for full descriptions of students' research.
Download: Senior Project Poster session booklet S21.pdf -
Wednesday, May 5, 2021
Ismar Volić, Wellesley College
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
Simplicial complexes are versatile objects in the intersection of graph theory, combinatorics, topology, and geometry. While mathematicians have always appreciated the fact that simplicial complexes are extremely powerful in spite of being easy to define and relatively easy to work with, their usefulness in real-world applications has increased dramatically just in the last decade or so.
In this talk, I will first discuss the definition and the basic constructions that can be performed with simplicial complexes, toggling back and forth between combinatorics and topology. I will then give an overview of some of their recent applications in signal processing, neuroscience, data analysis, and social sciences. I will in particular describe ongoing work by several undergraduates at Wellesley College in which certain types of political systems and their interactions are modeled by simplicial complexes.
This talk should be accessible to anyone who has had some exposure to combinatorics (basics of combinations and permutations).
Zoom Info: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, April 28, 2021
Mona Merling '09, University of Pennsylvania
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
To avoid misleading anyone, this talk will not be about the sociology of topologists! "Social choice" is a model for decision making in economic, social, and political contexts. For example: suppose that each person gets to vote on their favorite location where they would like to place a statue on an island. Is there a fair way based on these votes to choose the location? This will turn out to be a topological, even a homotopical, problem, depending on the topology of the island. In this talk we will explore social choice models and answer the question about when they exist using algebraic topology.
The purpose of this talk is to serve as an advertisement for algebraic topology and basic category theory. I will not assume any background other than calculus (in particular the notion of continuity so that I can give an intuition about topology). Familiarity with abstract algebra will help, but I will err on the side of defining what a group is, and I will give a crash course in category theory.
Zoom Info: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 74261
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Wednesday, April 21, 2021
Hala Nelson, James Madison University
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
Today's popular AI is mostly software, algorithms, and big data processing. Mathematics powers most of these AI techniques that are rapidly integrated into every aspect of our society and are useful for a vast array of applications. AI agents only understand numbers, more specifically, blobs of zeros and ones. In this talk we will use undergraduate mathematics to make an AI agent process our natural language, recognize what she sees, and make intelligent decisions. We will work out simple examples that have wide applications in the Artificial Intelligence sphere. This is an extremely undergraduate friendly talk and you only need to have calculus and linear algebra backgrounds.
Zoom Info: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, April 14, 2021
Florian Frick, Carnegie Mellon University
Online Event 1:30 pm – 2:30 pm EDT/GMT-4
How do you fairly divide rent among roommates, a necklace among thieves, or a pizza between friends? Such questions of fair division can often be understood with the tools of geometry and topology — even for those problems that are not geometric to begin with. We will discuss how to do this, and why topology is useful for problems that appear to be unrelated to topology. In particular, we will explore a relation between fairly splitting a necklace and inscribing shapes into curves. No prior knowledge of topology is needed, and this talk is available to all who are familiar with some linear algebra or multivariable calculus.
https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, April 7, 2021
Galen Dorpalen-Barry '15, University of Minnesota
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
In 1943, J. L. Woodbridge of Philadelphia submitted the following problem to American Mathematical Monthly: “Show that n cuts can divide a cheese into as many as $(n+1)(n^2 - n + 6)/6$ pieces.”
This question and its solution are deeply connected to the study of collections of lines in $mathbb{R}^2$, planes in $mathbb{R}^3$, and more generally hyperplanes in $mathbb{R}^n$. We will explore the solution and a more general version: given n (hyper)planes in a real, d-dimensional vector space, how can we figure out the number of chambers of an arrangement of hyperplanes, without necessarily being able to see and count them?
There are many wonderful solutions to this question. We present one provided by the Varchenko-Gel’fand ring, which is the ring of functions from the chambers of the arrangement to the integers with pointwise addition and multiplication. Varchenko and Gel’fand gave a simple presentation for this ring, which can be computed using simple facts about linear algebra.
We will assume very little background but expect that the audience is familiar with linear independence and dependence. We will give a ring-theoretic solution to this problem, so it may be helpful (but not necessary) to be familiar with quotient rings.
Zoom Info: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, March 31, 2021
Ethan Bloch, Bard College
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
In this talk we discuss the interplay between curvature and the distance between points on polyhedra. We start by discussing the curvature of polyhedra, which is concentrated at the vertices, and we then consider the question of whether or not a shortest path between two points on a polyhedron can pass through a vertex. We then discuss an attempt, not yet successful, at finding a polyhedral analog of Myers' Theorem for smooth surfaces, which relates positive curvature to distances between points. Along the way we consider some questions about the unfolding of polyhedra (for example, unfolding a cardboard box so that it is flat). This talk is open to all.
Zoom Info: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, March 17, 2021
Lauren Rose, Bard College
Online Event 3:00 pm – 4:00 pm EDT/GMT-4
Generalized splines on a graph G with edge weighted by ideals a commutative ring R are R-vertex labelings such that if two vertices share an edge in G, the vertex labels are congruent modulo the edge ideal. When R is a principal ideal domain, we introduce collapsing operations that reduces any simple graph to a single vertex and carries along the edge ideal information. This corresponds to a sequence of surjective maps between the associated spline modules, and leads to an explicit construction of an R-module basis in terms of the edge ideals. We also solve an interpolation problem, i.e., given a partial vertex labeling, when can it can be extended to a generalized spline?
Zoom: https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
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Wednesday, March 3, 2021
Pablo Soberón, Baruch College
Online Event 3:30 pm – 4:30 pm EST/GMT-5
Given a family of convex sets in R^d, how do we know that their intersection has a large volume or a large diameter? A large family of results in combinatorial geometry, called Helly-type theorems, characterize families of convex sets whose intersections are not empty. During this talk we will describe how some bootstrapping arguments allow us to extend classic results to describe when the intersection of a family of convex sets in R^d is quantifiably large. The work presented in this talk was done in collaboration with undergraduate students.
Join Zoom Meeting
https://bard.zoom.us/j/86398169686?pwd=M0pvT25ETmFhbUhkb1FUc2FuaGl0QT09
Meeting ID: 863 9816 9686
Passcode: 742619
- Thursday, April 16, 2020
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Sunday, March 15, 2020
A place to work on homework, study with classmates, or talk to a tutor!
Reem-Kayden Center 7:00 pm – 9:00 pm EDT/GMT-4
Sundays-Wednesdays in RKC 101.
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Wednesday, March 11, 2020
A place to work on homework, study with classmates, or talk to a tutor!
Reem-Kayden Center 7:00 pm – 9:00 pm EDT/GMT-4
Sundays-Wednesdays in RKC 101.
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Tuesday, March 10, 2020
A place to work on homework, study with classmates, or talk to a tutor!
Reem-Kayden Center 7:00 pm – 9:00 pm EDT/GMT-4
Sundays-Wednesdays in RKC 101.
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Tuesday, March 10, 2020
On-Campus Interviews For Full Time Positions
Campus Center, Yellow Room 214 10:00 am – 6:00 pm EDT/GMT-4
Interested in a career in education? Apply now for an on-campus interview!
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Monday, March 9, 2020
A place to work on homework, study with classmates, or talk to a tutor!
Reem-Kayden Center 7:00 pm – 9:00 pm EDT/GMT-4
Sundays-Wednesdays in RKC 101.
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Monday, March 9, 2020
Campus Center, Red Room 203 12:00 pm – 2:00 pm EDT/GMT-4
Interested in teaching children in early and elementary programs? Hear about Sarah Lawrence’s Art of Teaching, Child Development, and Social Work Programs.
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Sunday, March 8, 2020
A place to work on homework, study with classmates, or talk to a tutor!
Reem-Kayden Center 7:00 pm – 9:00 pm EST/GMT-5
Sundays-Wednesdays in RKC 101.
- Wednesday, February 5, 2020
- Wednesday, December 18, 2019
- Tuesday, December 17, 2019
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Tuesday, December 17, 2019
Reem-Kayden Center 6:00 pm – 7:30 pm EST/GMT-5
Join our December graduating seniors in presenting their senior projects.
Light refreshments will be served
- Monday, December 16, 2019
- Sunday, December 15, 2019
- Wednesday, December 11, 2019
- Tuesday, December 10, 2019
- Monday, December 9, 2019
- Sunday, December 8, 2019
- Wednesday, December 4, 2019
- Tuesday, December 3, 2019
- Monday, December 2, 2019
- Sunday, December 1, 2019
- Wednesday, November 27, 2019
- Tuesday, November 26, 2019
- Monday, November 25, 2019
- Sunday, November 24, 2019
- Wednesday, November 20, 2019
- Tuesday, November 19, 2019
- Monday, November 18, 2019
- Sunday, November 17, 2019
- Wednesday, November 13, 2019
- Tuesday, November 12, 2019
- Monday, November 11, 2019
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Monday, November 11, 2019
Campus Walk Above Kline 9:30 am – 1:00 pm EST/GMT-5
In a rare occurrence, the planet Mercury will pass in front of the Sun on the morning of November 11. However, this is not a celestial event that one can view by looking to the heavens with an unaided eye, since
a) Mercury is very small compared with the Sun, and
b) You shouldn't look directly at the Sun.
In order to view the transit (clouds permitting) the Physics Program will have a telescope with a solar filter set up on Campus Walk, just up the hill from Kline. Drop by anytime from 9:30am until the transit ends at 1pm to check out this planetary alignment for yourself.
Note the next chance to view a Mercury transit from Bard will be on May 7, 2049.
- Sunday, November 10, 2019
- Wednesday, November 6, 2019
- Tuesday, November 5, 2019
- Monday, November 4, 2019
- Sunday, November 3, 2019
- Sunday, November 3, 2019
- Wednesday, October 30, 2019
- Tuesday, October 29, 2019
- Monday, October 28, 2019
- Sunday, October 27, 2019
- Wednesday, October 23, 2019
- Tuesday, October 22, 2019
- Monday, October 21, 2019
- Sunday, October 20, 2019
- Wednesday, October 16, 2019
- Tuesday, October 15, 2019
- Monday, October 14, 2019
- Sunday, October 13, 2019
- Wednesday, October 9, 2019
- Tuesday, October 8, 2019
- Monday, October 7, 2019
- Sunday, October 6, 2019
- Wednesday, October 2, 2019
- Tuesday, October 1, 2019
- Monday, September 30, 2019
- Sunday, September 29, 2019
- Wednesday, September 25, 2019
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Wednesday, September 25, 2019
Sydney Weaver
RKC 111 4:45 pm – 6:00 pm EDT/GMT-4
Come to this interactive presentation about the history of the Rubik’s cube, some of the mathematics involved in analyzing the cube, and a demonstration of solving techniques.
No prior knowledge of the Rubik’s cube is assumed.
Sydney Weaver, 21, is a nine-time gold medalist professional Speedcuber. She loves sharing mathematics with people of all ages typically using the Rubik’s Cube as an interesting medium.
- Tuesday, September 24, 2019
- Monday, September 23, 2019
- Sunday, September 22, 2019
- Wednesday, September 18, 2019
- Tuesday, September 17, 2019
- Monday, September 16, 2019
- Sunday, September 15, 2019
- Wednesday, September 11, 2019
- Tuesday, September 10, 2019
- Monday, September 9, 2019
- Sunday, September 8, 2019
- Wednesday, September 4, 2019
- Tuesday, September 3, 2019
- Monday, September 2, 2019
- Monday, May 20, 2019
- Sunday, May 19, 2019
- Thursday, May 16, 2019
- Wednesday, May 15, 2019
- Tuesday, May 14, 2019
- Monday, May 13, 2019
- Sunday, May 12, 2019
- Wednesday, May 8, 2019
- Tuesday, May 7, 2019
- Monday, May 6, 2019
- Sunday, May 5, 2019
- Wednesday, May 1, 2019
- Tuesday, April 30, 2019
- Monday, April 29, 2019
- Sunday, April 28, 2019
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Saturday, April 27, 2019
A team-based competition for girls in grades 3-8
Reem-Kayden Center 1:00 pm – 4:30 pm EDT/GMT-4
Girls' Adventures in Math (GAIM) is a themed mathematics competition for upper elementary and middle school girls, followed by strategy-based games. Teams of students will work on challenging problems, contextualized in a comic book containing the stories of pioneering women from history.
The competition is organized by Math-M-Addicts New York, Inc. The Bard Math Circle hosts this event to promote a culture of mathematical problem solving and mathematics enrichment in the mid-Hudson Valley.
- Wednesday, April 24, 2019
- Tuesday, April 23, 2019
- Monday, April 22, 2019
- Sunday, April 21, 2019
- Wednesday, April 17, 2019
- Tuesday, April 16, 2019
- Monday, April 15, 2019
- Sunday, April 14, 2019
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Thursday, April 11, 2019
Locations: LA, NYC & Bard
Campus Center, Red Room 203 2:00 pm – 4:00 pm EDT/GMT-4
Have an interest in being a Math Summer Camp Counselor in LA, NYC, or Bard? Interview and meet with the Beam Math recruiter today!
Click here for more info.
- Wednesday, April 10, 2019
- Tuesday, April 9, 2019
- Monday, April 8, 2019
- Sunday, April 7, 2019
- Wednesday, April 3, 2019
- Tuesday, April 2, 2019
- Monday, April 1, 2019
- Sunday, March 31, 2019
- Wednesday, March 27, 2019
- Tuesday, March 26, 2019
- Monday, March 25, 2019
- Sunday, March 24, 2019
- Wednesday, March 20, 2019
- Tuesday, March 19, 2019
- Monday, March 18, 2019
- Sunday, March 17, 2019
- Wednesday, March 13, 2019
- Tuesday, March 12, 2019
- Monday, March 11, 2019
- Sunday, March 10, 2019
- Wednesday, March 6, 2019
- Tuesday, March 5, 2019
- Monday, March 4, 2019
- Sunday, March 3, 2019
- Wednesday, February 27, 2019
- Tuesday, February 26, 2019
- Monday, February 25, 2019
- Sunday, February 24, 2019
- Wednesday, February 20, 2019
- Tuesday, February 19, 2019
- Monday, February 18, 2019
- Sunday, February 17, 2019
- Wednesday, February 13, 2019
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Wednesday, February 13, 2019
A national math contest for high school students
Reem-Kayden Center 4:00 pm – 7:00 pm EST/GMT-5
The AMC 10/12 is a 25-question, 75-minute, multiple choice examination in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the high school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
- Tuesday, February 12, 2019
- Monday, February 11, 2019
- Sunday, February 10, 2019
- Wednesday, February 6, 2019
- Tuesday, February 5, 2019
- Monday, February 4, 2019
- Sunday, February 3, 2019
- Wednesday, January 30, 2019
- Tuesday, January 29, 2019
- Monday, January 28, 2019
- Thursday, December 20, 2018
- Wednesday, December 19, 2018
- Tuesday, December 18, 2018
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Tuesday, December 18, 2018
Join our December graduating seniors in presenting their senior projects
Reem-Kayden Center 6:00 pm – 7:30 pm EST/GMT-5
Light refreshments will be served.
- Monday, December 17, 2018
- Sunday, December 16, 2018
- Thursday, December 13, 2018
- Wednesday, December 12, 2018
- Tuesday, December 11, 2018
- Monday, December 10, 2018
- Sunday, December 9, 2018
- Thursday, December 6, 2018
- Wednesday, December 5, 2018
- Tuesday, December 4, 2018
- Monday, December 3, 2018
- Sunday, December 2, 2018
- Thursday, November 29, 2018
- Wednesday, November 28, 2018
- Tuesday, November 27, 2018
- Monday, November 26, 2018
- Sunday, November 25, 2018
- Thursday, November 22, 2018
- Wednesday, November 21, 2018
- Tuesday, November 20, 2018
- Monday, November 19, 2018
- Sunday, November 18, 2018
- Thursday, November 15, 2018
- Wednesday, November 14, 2018
- Tuesday, November 13, 2018
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Tuesday, November 13, 2018
Sponsored by the Bard Math Circle
Reem-Kayden Center 4:30 pm – 6:30 pm EST/GMT-5
The AMC 8 is a 25-question, 40-minute, multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the middle school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
- Monday, November 12, 2018
- Sunday, November 11, 2018
- Thursday, November 8, 2018
- Wednesday, November 7, 2018
- Tuesday, November 6, 2018
- Monday, November 5, 2018
- Sunday, November 4, 2018
- Sunday, November 4, 2018
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Friday, November 2, 2018
Dr. Kathryn E. Stein ’66
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 5:00 pm – 7:00 pm EDT/GMT-4
Kathryn Stein ’66, PhD, an immunologist with more than 30 years of experience, received the John and Samuel Bard Award in Medicine and Science from Bard College.
- Thursday, November 1, 2018
- Wednesday, October 31, 2018
- Tuesday, October 30, 2018
- Monday, October 29, 2018
- Sunday, October 28, 2018
- Thursday, October 25, 2018
- Wednesday, October 24, 2018
- Tuesday, October 23, 2018
- Monday, October 22, 2018
- Sunday, October 21, 2018
- Thursday, October 18, 2018
- Wednesday, October 17, 2018
- Tuesday, October 16, 2018
- Monday, October 15, 2018
- Sunday, October 14, 2018
- Thursday, October 11, 2018
- Wednesday, October 10, 2018
- Tuesday, October 9, 2018
- Monday, October 8, 2018
- Sunday, October 7, 2018
- Thursday, October 4, 2018
- Wednesday, October 3, 2018
- Tuesday, October 2, 2018
- Monday, October 1, 2018
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Monday, October 1, 2018
Michael Weinman, Professor of Philosophy, Bard College Berlin
RKC 103 5:00 pm – 6:00 pm EDT/GMT-4
Drawing on arguments from The Parthenon and Liberal Education (SUNY, 2018), a monograph recently coauthored with my Bard College Berlin colleague Geoff Lehman, I will point to the resonance of the work in number theory, astronomy, and harmonics of Philolaus, a near contemporary of Socrates, with central features of the design principles of the Parthenon. In this way, I hope to show that the Parthenon can be seen as a mediator between the early reception of Ancient Near-Eastern mathematical ideas and their integration into Greek thought as a form of liberal education, as the latter came to be defined by Plato and his followers. Prominently in its pursuit of harmonia (harmony; joining together) without resolving tensions between opposites, the Parthenon engages dialectical thought as we encounter it in Plato's dialogues and in ways that are of enduring relevance for the project of liberal education.
- Sunday, September 30, 2018
- Thursday, September 27, 2018
- Wednesday, September 26, 2018
- Tuesday, September 25, 2018
- Monday, September 24, 2018
- Sunday, September 23, 2018
- Thursday, September 20, 2018
- Wednesday, September 19, 2018
- Tuesday, September 18, 2018
- Monday, September 17, 2018
- Sunday, September 16, 2018
- Thursday, September 13, 2018
- Wednesday, September 12, 2018
- Tuesday, September 11, 2018
- Monday, September 10, 2018
- Sunday, September 9, 2018
- Thursday, September 6, 2018
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Thursday, September 6, 2018
3rd floor Albee Math Lounge 4:45 pm – 5:45 pm EDT/GMT-4
On behalf of the math faculty, I would like to welcome everyone back from what was hopefully a fun and relaxing summer break!
To celebrate your return, the Math Program will be having a get-together this Thursday, September 6, in the math common room from 4:45 to 5:45 pm. There will be light refreshments and delightful conversation.
We would love if you could make it to hang out, talk, and reconnect. See you then!!
- Wednesday, September 5, 2018
- Tuesday, September 4, 2018
- Monday, September 3, 2018
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Friday, June 15, 2018
Jennifer L. Carter, SUNY Albany
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 3:30 pm – 4:30 pm EDT/GMT-4
The idea that worlds exist beyond our solar system, exoplanets, dates back to the Greek times, but it was not until 1992 that the first exoplanet discovery was accepted by the scientific community. Detections of exoplanets continued at a crawl until the Kepler mission began in 2009. To date, over 3,700 exoplanets have been confirmed using a variety of techniques. The types of exoplanets detected range from incredibility hot, Jupiter-size exoplanets to Earth-like exoplanets that may be habitable for life.
First, we’ll discuss the motivation behind exoplanet science and explore the subject from a historical perspective. We will investigate how some of the detection methods work and discuss their relative successes. Finally, we will conclude by exploring the reflected light of exoplanets in more detail and will discuss two methods of modeling that light.
- Tuesday, May 22, 2018
- Monday, May 21, 2018
- Sunday, May 20, 2018
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Thursday, May 17, 2018
8:30 pm – 10:00 pm EDT/GMT-4
Buses leave from Kline South stop at 8:30 pm.
Join us at the Montgomery Place visitor center for a short talk by Prof. Antonios Kontos on the science of Jupiter—from the days of Galileo to the latest NASA missions—followed by telescope viewing of Jupiter and its moons, a guided tour of the night sky, and a round of ask-a-physicist-anything.
- Thursday, May 17, 2018
- Thursday, May 17, 2018
- Wednesday, May 16, 2018
- Tuesday, May 15, 2018
- Monday, May 14, 2018
- Sunday, May 13, 2018
- Thursday, May 10, 2018
- Wednesday, May 9, 2018
- Tuesday, May 8, 2018
- Monday, May 7, 2018
- Sunday, May 6, 2018
- Thursday, May 3, 2018
- Wednesday, May 2, 2018
- Tuesday, May 1, 2018
- Monday, April 30, 2018
- Sunday, April 29, 2018
- Thursday, April 26, 2018
- Wednesday, April 25, 2018
- Tuesday, April 24, 2018
- Monday, April 23, 2018
- Sunday, April 22, 2018
- Thursday, April 19, 2018
- Wednesday, April 18, 2018
- Tuesday, April 17, 2018
- Monday, April 16, 2018
- Sunday, April 15, 2018
- Thursday, April 12, 2018
- Wednesday, April 11, 2018
- Tuesday, April 10, 2018
- Monday, April 9, 2018
- Sunday, April 8, 2018
- Thursday, April 5, 2018
- Wednesday, April 4, 2018
- Tuesday, April 3, 2018
- Monday, April 2, 2018
- Sunday, April 1, 2018
- Thursday, March 29, 2018
- Wednesday, March 28, 2018
- Tuesday, March 27, 2018
- Monday, March 26, 2018
- Sunday, March 25, 2018
- Thursday, March 22, 2018
- Wednesday, March 21, 2018
- Tuesday, March 20, 2018
- Monday, March 19, 2018
- Sunday, March 18, 2018
- Thursday, March 15, 2018
- Wednesday, March 14, 2018
- Tuesday, March 13, 2018
- Monday, March 12, 2018
- Sunday, March 11, 2018
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Friday, March 9, 2018
Amanda Katharine Serenevy, Ph.D.
Executive Director, Riverbend Community Math Center
Hegeman 204 1:30 pm EST/GMT-5
We will discuss the differences among several prevailing math instruction philosophies, including traditional math instruction, conceptual math instruction, inquiry/project based learning, and math circle instruction. We will talk about the motivations behind some of these approaches, the reasons that math instruction is changing, and how to incorporate the various approaches when working with students.
Amanda Serenevy has been active with the Math Circle movement to connect mathematicians with young students interested in mathematics for many years. As a graduate student, Amanda first became involved with Math Circles as an instructor in Bob and Ellen Kaplan's Math Circle program in the Boston area. In November 2006, Amanda accompanied a group of American mathematicians during a trip to Moscow and St. Petersburg to learn about Russian math outreach programs. Amanda regularly co-organizes events for mathematicians and teachers from around the country who are interested in starting their own outreach programs, and has mentored many new Math Circle leaders. Amanda continues to offer Math Circles in the South Bend area. In 2006, Amanda and her husband Dean founded the Riverbend Community Math Center. Amanda continues to serve as the executive director, designing curricula and lessons, and leading professional development sessions for teachers and hands-on math activities for people of all ages.
- Thursday, March 8, 2018
- Wednesday, March 7, 2018
- Tuesday, March 6, 2018
- Monday, March 5, 2018
- Sunday, March 4, 2018
- Thursday, March 1, 2018
- Wednesday, February 28, 2018
- Tuesday, February 27, 2018
- Monday, February 26, 2018
- Monday, February 26, 2018 – Monday, April 2, 2018
- Sunday, February 25, 2018
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Friday, February 23, 2018
Jeff Suzuki, Brooklyn College
Hegeman 204 1:30 pm EST/GMT-5
Suppose you're one of a group of people responsible for a decision: choosing which applicant to hire into a job; deciding what food to have available at a banquet; or choosing who's going to represent you in Washington, D.C. How can you do it? Social choice theory is the branch of mathematics that studies how groups can make decisions. We'll take a look at some problems, some solutions, and some paradoxes that result when groups try to make decisions.
- Thursday, February 22, 2018
- Wednesday, February 21, 2018
- Tuesday, February 20, 2018
- Monday, February 19, 2018
- Sunday, February 18, 2018
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Friday, February 16, 2018
Sunita Vatuk, City College of New York
Hegeman 204 1:30 pm EST/GMT-5
There is a lot of talk about math being &lquo;everywhere&rquo; in &lquo;daily life,&rquo; and I would argue that most (all?) mathematicians understand how to find it. But the process of finding math in unexpected places is something that most of us learned by osmosis rather than consciously.
Many South Indian Hindus have at least one god in their home—a statue that they worship every day. The daily &lquo;puja&rquo; often involves making a design out of rice powder in front of the god. We will look at two variations of this design, called a Hridaya kolam. (Hridaya = heart, kolam = designs made from powder in South India.)
After learning to make the two standard designs, we will embark on an exploration to find some mathematics in them—making algorithms, generalizing, looking for structure, explaining what we find, coming up with useful notation, deciding on definitions, and so on. Different students will be free to follow different paths through the exploration.
Sunita Vatuk has a Ph.D. in differential geometry from Princeton University. As part of her teaching at the University of Colorado (Boulder), Rutgers University (Piscataway), and City University of New York she has worked extensively with high school math teachers. That work sparked an interest in the existence and nature of mathematical thinking outside of research mathematics, including but not limited to origami and textile production. This talk is based on over 80 interviews with kolam experts and hundreds of designs she learned as a Fulbright scholar affiliated with the Institute of Mathematical Sciences, Chennai.
- Thursday, February 15, 2018
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Thursday, February 15, 2018
A national math contest for high school students
Reem-Kayden Center 4:00 pm – 7:00 pm EST/GMT-5
The AMC 10/12 is a 25-question, 75-minute, multiple choice examination in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the high school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
- Wednesday, February 14, 2018
- Tuesday, February 13, 2018
- Monday, February 12, 2018
- Sunday, February 11, 2018
- Thursday, February 8, 2018
- Wednesday, February 7, 2018
- Tuesday, February 6, 2018
- Monday, February 5, 2018
- Sunday, February 4, 2018
- Thursday, February 1, 2018
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Thursday, February 1, 2018
Albee 3rd floor Math Lounge 4:45 pm EST/GMT-5
The math program extends a hearty welcome back to all.
In transitioning from what we trust was a relaxing winter break to what promises to be an illuminating and fun semester stuffed to the gills with wondrous mathematics, we will be having a get-together this Thursday, 2/1, 4:45-6pm in the math common room (Albee).
Please come by to hang out and reconnect over tea, cocoa, cookies, and similar light fare. See you then!!
- Wednesday, January 31, 2018
- Tuesday, January 30, 2018
- Monday, January 29, 2018
- Tuesday, December 19, 2017
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Tuesday, December 5, 2017
Sunita Vatuk, City College of NY
Hegeman 204 12:00 pm EST/GMT-5
"It is notoriously hard to give a satisfactory answer to the question, 'What is mathematics?'" —Timothy Gowers
"One proposal, made in desperation, is 'What mathematicians do.'" —Ian Stewart
This women's art form is not part of academic research mathematics, and most of the experts in it are not formally educated, but the kolam-maker and the mathematician do share many patterns of thought. The range of mathematical connections found in kolams make it a particularly rich arena in which to explore that elusive definition of mathematics, by focusing on mathematical thinking outside of academia.
Dr. Vatuk has a PhD in differential geometry from Princeton University. As part of her teaching at University of Colorado (Boulder), Rutgers University (Piscataway), and City University of NY she has worked extensively with high school math teachers. That work sparked an interest in the existence and nature of mathematical thinking outside of research mathematics, including, but not limited to, origami and textile production. This talk is based on over 80 interviews with kolam experts and hundreds of designs she learned as a Fulbright scholar affiliated with the Institute of Mathematical Sciences, Chennai.
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Tuesday, November 28, 2017
Kariane Calta, Vassar College
Hegeman 204 12:00 pm EST/GMT-5
In this talk, I will begin by describing how a question about the geodesic flow on translation surfaces led to an exploration of continued fraction algorithms associated to triangle groups. My aim is to describe how apparently different areas of mathematics can work together to give rise to interesting and sometimes surprising results.
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Tuesday, November 14, 2017
Nicholas A. Scoville
Ursinus College
Hegeman 204 12:00 pm EST/GMT-5
Digital images surround us. They are found in our computers, iPhones, televisions, and more. Because they are so integrated into our lives, there is a constant need to manipulate and investigate these images. Anything that one might want to do with a digital image will inevitably involve some kind of mathematics, whether it be linear algebra, geometry, or topology. In this talk, we will introduce not only the topology of digital images, but topology in general. We'll discuss some of the main ideas in topology and use them to figure out what topology would mean in a digital setting. Our newfound knowledge of digital topology will then allow us to dene a digital version of the Hopf fibration, a function between spheres of different dimensions which links together circles in a beautiful and profound way. This talk will be accessible to undergraduates.
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Tuesday, November 7, 2017
Heidi Burgiel, University of Massachusetts, Lowell
Hegeman 204 12:00 pm EST/GMT-5
Learn to fold a star-building unit -- a modification of the Sonobe module for unit origami. These modules combine to form right angled pyramids over equilateral triangles. Participants will have the opportunity to stellate a tetrahedron (creating a cube) and to explore the eight strictly convex deltahedra.
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Tuesday, October 31, 2017
Hegeman 204 12:00 pm EDT/GMT-4
Sam Baumgartner
Yuming Liu
Andres Mejia
Kirill Shakhnovskiy
Yida Shao
Darren Tirto
Eric Zhang
Lingxin Zhao
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Tuesday, October 24, 2017
Ming-Wen An, Vassar College
Hegeman 204 12:00 pm EDT/GMT-4
In the final stages of a long and costly drug discovery process, a drug compound is introduced into humans as part of a clinical trial. A clinical trial is a research study with a pre-defined protocol and is conducted in different phases. In oncology, as many as 60% of drug compounds that reach the last phase (Phase III) fail this final step. This high failure rate may reflect inappropriate evaluation of compounds in preceding Phase II trials, in which the primary endpoint is often binary tumor response, based on the Response Evaluation Criteria for Solid Tumors (RECIST). This motivates the search for alternative Phase II endpoints. In this talk, we will introduce clinical trials and survival analysis to contextualize the problem. Then we will describe our work evaluating alternative categorical and continuous tumor measurement-based endpoints for their ability to predict overall survival using data from real clinical trials.
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Tuesday, October 17, 2017
Hegeman 204 11:40 am EDT/GMT-4
Teagan DeCusatis
Jessica Liu
Rachel Nalecz
Thuy Linh Nguygen
Odett Salcedo
Peter Servatius
Kaylynn Tran
Christian Yost
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Tuesday, October 3, 2017
Hegeman 204 12:00 pm EDT/GMT-4
Eric Zhang, ’18
COMPACTNESS OF RIGID GRAPH
Given a graph G, a framework is a straight line embedding of a G into d-dimensional space. Two frameworks of G are equivalent if the corresponding edges in the two frameworks have the same length. Given a collection of equivalent frameworks of G, a framework is compact if the distance between all pairs of vertices is minimal among the collection. We are mainly considering generic frameworks, in which the coordinates of the vertices of G are algebraically independent. In this paper, we studied compact frameworks in R and R^2.
- Thursday, September 28, 2017
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Tuesday, September 26, 2017
Hema Gopalakrishnan
Sacred Heart University
Hegeman 204 12:00 pm EDT/GMT-4
Recurrence relations arise in many fields of study. To solve a recurrence relation is to find an explicit formula for the numbers of the sequence generated by the recurrence. Informally, an ordinary generating function is a power series whose coefficients are the terms of
a given sequence. In this talk, we will introduce the method of generating functions for solving linear recurrence relations with constant coefficients and apply this method to solve the Fibonacci recurrence
relation.
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Tuesday, September 19, 2017
Kerri-Ann Norton, Computer Science Program
Hegeman 204 12:00 pm EDT/GMT-4
Breast tumor development is influenced by the individual properties of the tumor cells but also by other non-cancerous cells within its microenvironment. Based on experimental data, each tumor cell’s intrinsic properties are modeled, taking into account properties like cancer cell type and receptor numbers. In addition, we model the microenvironment’s influence on individual cancer cell properties, such as migration and proliferation. Then using agent-based modeling, we examine how individual cells interact with their microenvironment to form tumors and show how changes in that environment affect the tumor’s growth and invasion. From these results, we make predictions for potential therapies based on the interplay between the tumor and its microenvironment.
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Tuesday, September 12, 2017
Moshe Cohen, Vassar College
Hegeman 204 12:00 pm EDT/GMT-4
A line arrangement is a finite collection of lines in the plane. We can study this combinatorially by looking at intersections of lines. We can study this topologically by looking at the complement (in complex projective space). We can ask if the combinatorial information forecasts the topological information. When this does not occur, we obtain two different geometric arrangements; we call this a Zariski pair. There is no such pair of up to nine lines. Examples have been found with thirteen lines by Rybnikov in 1998 and with twelve lines by Guerville-Balle in 2014. Together with Amram, Sun, Teicher, Ye, and Zarkh, we investigate arrangements of ten lines. Together with an undergraduate student Liu last year, we investigate arrangements of eleven lines.
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Monday, September 11, 2017
3rd floor Albee lounge 6:00 pm EDT/GMT-4
Come and learn how you can help the Bard Math Circle provide access to mathematics enrichment throughout the Hudson River Valley. All Bard students are encouraged to attend and eat pizza, play puzzles and games, and find out more about the Bard Math Circle.
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Monday, September 11, 2017
Albee 3rd floor lounge 5:00 pm EDT/GMT-4
On behalf of the math faculty, I would like to welcome everyone back from what was hopefully a fun and relaxing summer break!
To celebrate your return, the math program will be having a get together this Monday 9/11 in the math common room from 5-6pm. There will be light refreshments and delightful conversion.
We would love if you could make it to hang out, talk, and reconnect. See you then!!
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Thursday, July 6, 2017
Antonios Kontos, Physics program
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 3:00 pm EDT/GMT-4
With three detections and counting, the Advanced LIGO gravitational-wave observatories have opened a new window into the Universe. For now, all the detected gravitational-waves originated from collisions of two black holes. The effect that these gravitational-waves have as they pass through space is to stretch and compress space-time, much like sound waves stretch and compress the air. To understand the challenge of detecting this effect here on Earth, imagine (if you can) that a reasonably strong gravitational wave changes the length of one kilometer by one thousandth of a proton's diameter. At this level of sensitivity, quantum mechanics and the Heisenberg uncertainty principle start playing a significant role and if we want to listen further into the Universe, we need to manipulate the quantum nature of light to our advantage. In this talk I will give an overview of gravitational waves, how LIGO detects them, and why quantum mechanics matters when measuring distances with such precision.
- Thursday, May 18, 2017
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Thursday, April 27, 2017
Amir Barghi, Mathematics Program
Hegeman 308 4:45 pm EDT/GMT-4
At a dinner party, each guest is assigned a seat along a long table, which seats 12 people. However, when all guests arrive, they decide to change things a little up by swapping seats. In order to minimize the amount of chaos, they have to follow the following three rules: a guest can keep their seat; two guests sitting next to each other or across the table can swap seats; three or more guests can swap seats in a cyclic
fashion, provided that each person is moving one seat to the left or to the right or across the table. Assuming that all guests have showed up, how many possible seating rearrangements are there? Now consider the graph on the left. We want to place dominoes along some of the edges of this graph so that each vertex is covered by exactly one domino. We call any such placement of dominoes a domino tiling. How many domino tilings of this graph exits?
In this talk, we will explore the connection between these two problems by defining what the factorial of a graph is.
Prerequisites: A familiarity with graphs and counting arguments is a plus, but not
required.
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Thursday, April 20, 2017
Maria Belk, Mathematics Program
Hegeman 308 4:45 pm EDT/GMT-4
In this talk, we investigate the important question of how many zombies are required to catch and eat a person in an enclosed structure. We model the structure with a graph, and we assume that the person can move much faster than the zombies. The minimum number of zombies required to catch an intelligent person is called the zombie number of the graph. This is a variation on the "cops and robbers" game from graph theory, which can be used to define the treewidth of a graph. We will discuss how the zombie number of a graph relates to the treewidth, and we will determine which graphs have zombie number 1 and 2. This talk will be accessible to anyone who is taking or has taken a 200-level mathematics course.
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Thursday, April 13, 2017
Lauren Rose, Mathematics Program
Hegeman 308 4:45 pm EDT/GMT-4
Splines are piecewise polynomial functions that are often used to approximate complicated functions. They arise in various branches of applied mathematics, computer science and engineering. Applications include computer graphics and computer modeling, airplane design, and approximating solutions to partial differential equations. More recently, splines have been studied for their algebraic properties, and their defining equations have been generalized to arbitrary rings.
In this talk, I will describe Integer Splines on a graph, where both the edges and vertices of the graph are labeled with integers. The vertex labeling is called a spline if the difference between vertex labels is divisible by the corresponding edge label. I will report on recent work with Bard students, and open problems for the future.
Prerequisites: Familiarity with Linear Algebra and modular arithmetic is helpful, but not required.
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Thursday, April 6, 2017
Stefan Mendez-Diez
Mathematics Program
Hegeman 308 4:45 pm EDT/GMT-4
The purpose of this talk is to explore the interplay between mathematics and physics by taking a closer look at the theory of Electricity and Magnetism. We will start with the normal physicist's formulation of Maxwell's equations and then rewrite them from the perspective of a mathematician. This will allow us to describe what charge is as a mathematical object. We will then give a mathematical generalization of Maxwell's equations motivated by string theory and explore how physical phenomena can inform our understanding of the underlying mathematical structures. This talk should be accessible to anyone who has taken Math 213 or above.
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Thursday, March 30, 2017
Steve Simon, Mathematics Program
Hegeman 308 4:45 pm EDT/GMT-4
Given any 3 shapes in R3 (e.g., a piece of ham, a hunk of cheese, and a slice of bread), does there exist a single plane that simultaneously cuts each shape into two pieces of equal volume? Can any shape in R2 be dissected into four pieces of equal area by some pair of perpendicular lines? By exploiting hidden geometric symmetries, we will show how equipartition problems such as these can be solved using powerful techniques from the seemingly unrelated eld known as algebraic topology. For instance, the positive answer to the rst problem above { the so-called Ham Sandwich" Theorem { ultimately reduces to a very deep result of Borsuk and Ulam: for any continuous map from a sphere to a plane, there must exist a pair of antipodal points on the sphere whose images coincide. While fairly advanced mathematics is not too far away, this talk requires only a familiarity with the intermediate value theorem to be understood. All are welcome to attend!
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Thursday, March 9, 2017
Japheth Wood, Mathematics Program
Hegeman 308 4:45 pm EST/GMT-5
Come learn several historical methods to compute the area under a parabola, including approaches from Archimedes, Pascal, and Riemann. This talk is suitable for curious math students from Calculus I and beyond, and illustrates how creative approaches to problem solving can open up beautiful mathematical ideas.
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Thursday, March 2, 2017
Jim Belk, Mathematics Program
Hegeman 308 4:45 pm EST/GMT-5
A fractal is a geometric figure that exhibits a self-similar structure, meaning that the same patterns appear at a range of different scales. In this talk, I will explore the notion of symmetry in mathematics, and then describe some symmetries of fractal shapes that reflect their self-similar structure. The algebra of these symmetries can have certain unusual features, and I will discuss some surprising results that have been uncovered about this algebra as part of my research. This talk should be accessible to all math majors.
Refreshments to follow immediately in the Math Common Room.
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Thursday, February 23, 2017
Ethan Bloch
Mathematics Program
Hegeman 308 4:45 pm EST/GMT-5
A very useful number associated with polyhedra is the Euler characteristic, which in the 2-dimensional case is V - E + F, where V, E and F are the number of vertices, edges and faces of a polyhedron, respectively. In this talk we consider the question of whether the Euler characteristic is locally determined, which means that it can be calculated as the sum of numbers determined in a neighborhood of each vertex of the polyhedron; there are combinatorial and geometric versions of this question, where the geometric version goes back to an idea of Descartes, from before Euler. We will then ask the analogous
question regarding the Charney-Davis quantity of a polyhedron, which in the 2-dimensional case is 1 - (1/2)V + (1/4)E - (1/8)F. This talk should be suitable for all students who are currently in Math 261 (Proofs and Fundamentals) or beyond.
Refreshments to follow immediately in the Mathematics Common Room
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Thursday, February 16, 2017
John Cullinan, Mathematics Program
Hegeman 308 4:45 pm EST/GMT-5
In 1909 Arthur Wieferich proposed a way to attack Fermat's last theorem by introducing a variant on Fermat's little theorem. His idea has since been refined and now forms what is known as the "Wieferich Conjecture". Even though Fermat's last theorem has been proved, the Wieferich conjecture remains open and a major area of research in modern number theory. In this talk, I will explain the Wieferich conjecture, its modern geometric interpretation, and my current research project. This talk should be suitable for all students who are currently in Math 261 (Proofs and Fundamentals) or beyond. In particular, we will make extensive use of modular arithmetic.
Refreshments to follow immediately in the Math Common Room.
- Thursday, February 16, 2017
- Thursday, December 15, 2016
- Wednesday, December 14, 2016
- Tuesday, December 13, 2016
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Tuesday, December 13, 2016
Reem-Kayden Center 6:30 pm EST/GMT-5
- Monday, December 12, 2016
- Sunday, December 11, 2016
- Thursday, December 8, 2016
- Wednesday, December 7, 2016
- Tuesday, December 6, 2016
- Monday, December 5, 2016
- Sunday, December 4, 2016
- Thursday, December 1, 2016
- Wednesday, November 30, 2016
- Tuesday, November 29, 2016
- Monday, November 28, 2016
- Sunday, November 27, 2016
- Thursday, November 24, 2016
- Wednesday, November 23, 2016
- Tuesday, November 22, 2016
- Monday, November 21, 2016
- Sunday, November 20, 2016
- Thursday, November 17, 2016
- Wednesday, November 16, 2016
- Tuesday, November 15, 2016
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Tuesday, November 15, 2016
Sponsored by the Bard Math Circle
Reem-Kayden Center 4:00 pm – 6:00 pm EST/GMT-5
The AMC 8 is a 25-question, 40-minute, multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the middle school level, presented by a Bard mathematician. The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
- Monday, November 14, 2016
- Sunday, November 13, 2016
- Thursday, November 10, 2016
- Wednesday, November 9, 2016
- Tuesday, November 8, 2016
- Monday, November 7, 2016
- Sunday, November 6, 2016
- Sunday, November 6, 2016
- Thursday, November 3, 2016
- Wednesday, November 2, 2016
- Tuesday, November 1, 2016
- Monday, October 31, 2016
- Sunday, October 30, 2016
- Thursday, October 27, 2016
- Wednesday, October 26, 2016
- Tuesday, October 25, 2016
- Monday, October 24, 2016
- Sunday, October 23, 2016
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Friday, October 21, 2016
Hegeman 204 2:00 pm EDT/GMT-4
Rebecca Schiavo, Senior Assistant Director from Columbia's Office of Undergraduate Admissions, will be coming to talk about the 3+2 and 4+2 BA/BS Combined Plans. This is an ideal opportunity to get definitive answers to your specific questions. She visits only once in two years, so don't miss her talk.
- Thursday, October 20, 2016
- Wednesday, October 19, 2016
- Tuesday, October 18, 2016
- Monday, October 17, 2016
- Sunday, October 16, 2016
- Thursday, October 13, 2016
- Wednesday, October 12, 2016
- Tuesday, October 11, 2016
- Monday, October 10, 2016
- Sunday, October 9, 2016
- Thursday, October 6, 2016
- Wednesday, October 5, 2016
- Tuesday, October 4, 2016
- Monday, October 3, 2016
- Sunday, October 2, 2016
- Thursday, September 29, 2016
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Thursday, September 29, 2016
Reem-Kayden Center 6:00 pm EDT/GMT-4
- Wednesday, September 28, 2016
- Tuesday, September 27, 2016
- Monday, September 26, 2016
- Sunday, September 25, 2016
- Thursday, September 22, 2016
- Wednesday, September 21, 2016
- Tuesday, September 20, 2016
- Monday, September 19, 2016
- Sunday, September 18, 2016
- Thursday, September 15, 2016
- Wednesday, September 14, 2016
- Tuesday, September 13, 2016
- Monday, September 12, 2016
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Monday, September 12, 2016
We want you to participate in trying out a new Science Literacy assessment developed here at Bard!
Assessment sessions are being held on Sunday, September 11 at 3 p.m. and on Monday, September 12 at 7 p.m.
RKC second floor pods 7:00 pm EDT/GMT-4
The assessment is done in pairs, takes a little more than 90 minutes to complete, is designed to see how you go about finding the answer to a science-related question, and is pretty fun to do! Treats provided for all who participate!
**science majors are always welcome!**
Bring a laptop for the assessment
- Sunday, September 11, 2016
- Thursday, September 8, 2016
- Wednesday, September 7, 2016
- Tuesday, September 6, 2016
- Monday, September 5, 2016
- Sunday, September 4, 2016
- Thursday, September 1, 2016
- Wednesday, August 31, 2016
- Tuesday, August 30, 2016
- Monday, August 29, 2016
- Tuesday, May 17, 2016
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Saturday, April 16, 2016
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 2:00 pm – 4:00 pm EDT/GMT-4
Join a panel of professors from Bard and other local colleges for a discussion on gender, sexism, and empowerment in science. The panel is hosted by Women in S.T.E.M. at Bard, a group which aims to provide inspiration and support to underrepresented minorities in science and their allies.
Q&A and reception with refreshments will follow.
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Friday, April 8, 2016
Steven Simon, Wellesley College
RKC 111 12:00 pm EDT/GMT-4
Can any three shapes in ℝ3 be simultaneously cut into two pieces of equal volume by a single plane? Can any shape in ℝ2 be dissected into four pieces of equal area by two perpendicular lines? By exploiting hidden symmetries, we will show how equipartition problems such as these (as well as a variety of other questions from combinatorial geometry) can be solved using techniques from the seemingly unrelated field of algebraic topology. For instance, the positive answer to the first problem above -- the so-called "Ham Sandwich" Theorem -- ultimately reduces to a deep result of Borsuk and Ulam: for any continuous map from a sphere to a plane, there must exist some pair of opposite points on the sphere whose images coincide. Although group theory, topology, number theory, and even Fourier analysis are all truly at play, no background in these fields is required to appreciate the fascinating interplay of the continuous and the discrete at the heart of topological combinatorics. All are welcome to attend!
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Thursday, March 10, 2016 – Friday, April 1, 2016
Please see the link below for information on applying for a Distinguished Scientist Scholar Award.
Application deadline is Friday, April 1
Download: DSS application memo 16-17.pdf -
Friday, March 4, 2016
Ivan Ventura, Harvey Mudd College
Hegeman 204 12:00 pm EST/GMT-5
Inverse problems are a large class of both theoretical and applied problems that have captivated the mathematical community for over half a century. During this time numerous applications have arisen in in a variety of fields, such as medical imaging and cloaking. In the first half of this talk I will discuss, by example, general inverse problems and how they arise in the real world. In the second half I will focus specifically on spectral inverse problems, starting with the classic "Can you hear the shape of a drum?" problem in the case of the sphere. Finally I will present an analogous result for semiclassical Schrödinger operators.
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Tuesday, March 1, 2016
Ursula Whitcher
University of Wisconsin-Eau Claire
RKC 111 4:45 pm EST/GMT-5
If you have a rubber band and a pegboard, how many polygons can you make that have only one peg in the center? The answer to this question is highly interesting to string theorists, who use shapes like these to write equations for the predicted "extra" dimensions of the universe. We'll talk about the way mathematicians use intuition from string theory to make mathematical discoveries.
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Wednesday, February 17, 2016
A national math contest for high school students
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 4:00 pm – 7:00 pm EST/GMT-5
The AMC 10/12 is a 25-question, 75-minute, multiple choice examination in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the high school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
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Friday, February 12, 2016
Stefan Mendez-Diez, Utah State University
Hegeman 204 12:00 pm EST/GMT-5
In physics, supersymmetry is a pairing between the carriers of mass and energy appearing in theories of subatomic particles. These physical theories can be described using graphs known as Adinkras. We will tour the mathematics of supersymmetry by illustrating how we can construct Adinkras using binary cubes and error correcting codes. We will discuss recent results that allow us to give a geometric interpretation of these physical theories using Grothendieck’s theory of dessins d’enfants, or “children’s drawings.” This will lead us to consider spin structures and discrete Morse functions as a natural part of supersymmetry.
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Tuesday, February 9, 2016
Nora Youngs
Harvey Mudd College
RKC 111 4:45 pm EST/GMT-5
Navigation and spatial memory are two of the most vital functions of the brain. Without the ability to construct an internal map of our environment and remember how to get from one place to another, we would be lost (literally)! In 2014, the Nobel Prize in Physiology and Medicine was awarded to John O'Keefe for the discovery of place cells, a particular type of neuron essential to spatial memory. In this talk, we will consider an algebraic method to store spatial information received from place cells, and explore ways to reconstruct topological features of a spatial environment from that stored data.
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Friday, February 5, 2016
Mario Micheli, Bowdoin College
Hegeman 204 12:00 pm EST/GMT-5
In this talk I will give an overview of the exciting and growing field of image processing, by introducing how images and video can be modeled and manipulated mathematically. I will give examples of the typical problems that are studied in this discipline, and present an array of applications in medicine, astronomy, atmospheric science, security, navigation systems, and others in information technology. Also, I shall present the research problem of image reconstruction under "optical turbulence", i.e. the optical phenomenon caused by light rays being refracted to form distorted images at the observer's location: this typically occurs when looking at objects at a distance in hot climates, or underwater in the presence of temperature gradients (i.e., when the water temperature is not the same at different locations). The results of an imaging recovery algorithm will also be illustrated.
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Monday, February 1, 2016
Ying Zhou, Ohio State University
RKC 111 4:45 pm EST/GMT-5
We live in an environment that is constantly changing. On a large time scale, climate change has a global effect on the dynamics of plant populations. On a smaller scale, there are seasonal changes of local habitats, for example, flooding and drying of wetland habitats. In this talk, I will present a spatial perspective of the effects of environmental changes. What happens when the suitable habitat of a population changes its location, or its size over time? Are there limits of the population’s ability to cope with these spatial changes? How does the life history of plant species affect their persistence in the presence of environmental change? I will present a set of mathematical models aiming at answering these questions.
- Thursday, December 17, 2015
- Wednesday, December 16, 2015
- Tuesday, December 15, 2015
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Tuesday, December 15, 2015
Lauren Childs
Harvard T.H. Chan School of Public Health
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 4:45 pm EST/GMT-5
Wolbachia are intracellular bacteria that are widespread in mosquito species and are known to limit the spread of insect-borne human pathogens including dengue, malaria and worms. The success of Wolbachia is attributed to a variety of ways in which the bacterium manipulates its host to promote fitness of infected females and increase transmission as bacteria are passed from mothers to offspring. Although long-proposed as a tool for the control of dengue, until recently it was thought that Anopheles mosquitoes, the vectors of human malaria, were unable to be infected by Wolbachia. Recent observations in Burkina Faso showed stable but low persistence of Wolbachia infections in Anopheles mosquitoes. Here, I present an ordinary differential equation model of Wolbachia infection in Anopheles mosquitoes developed in collaboration with students from the Summer Research Program in Epidemiology at the Harvard Chan School of Public Health. We demonstrate the persistence of Wolbachia at low prevalence in the context of varied reproductive phenotypes. Through analysis of our model, we determine which phenotypes are most important for persistence of Wolbachia infection, aiding survival of Wolbachia infected laboratory populations.
- Monday, December 14, 2015
- Sunday, December 13, 2015
- Thursday, December 10, 2015
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Thursday, December 10, 2015
Reem-Kayden Center 6:30 pm EST/GMT-5
- Wednesday, December 9, 2015
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Wednesday, December 9, 2015
Professor Frank Scalzo
Health Professions Adviser
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium 6:00 pm EST/GMT-5
Professor Frank Scalzo will introduce the pathways leading to post-baccalaureate degrees in the health professions including, traditional medicine, allopathic medicine, osteopathic medicine, veterinary medicine, dentistry, optometry, etc. etc. The discussion will be tailored to the interests of the audience. If you are interested in a health profession, you should attend this discussion.
For more information, please contact Professor Frank Scalzo at [email protected].
- Tuesday, December 8, 2015
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Tuesday, December 8, 2015
Eyvindur Ari Palsson
Williams College
RKC 111 4:45 pm EST/GMT-5
One of Erdos' greatest contributions to geometry was his problem on distinct distances that asks: what is the least number of distinct distances among n points. This seemingly innocent inquiry inspired many other related questions, some of which are still being worked on today. In this talk we will start with an introduction to the original distinct distance problem and then move on to some related questions, such as the unique distance problem and heavy lines. There will be a special emphasis on crescent configurations that were tackled by the Number Theory and Harmonic Analysis group in the Williams undergraduate summer research program in 2015.
- Monday, December 7, 2015
- Sunday, December 6, 2015
- Thursday, December 3, 2015
- Wednesday, December 2, 2015
- Tuesday, December 1, 2015
- Monday, November 30, 2015
- Sunday, November 29, 2015
- Thursday, November 26, 2015
- Wednesday, November 25, 2015
- Tuesday, November 24, 2015
- Monday, November 23, 2015
- Sunday, November 22, 2015
- Thursday, November 19, 2015
- Wednesday, November 18, 2015
- Tuesday, November 17, 2015
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Tuesday, November 17, 2015
Olin Humanities, Room 201 7:00 pm – 8:30 am EST/GMT-5
Want to tutor Bard Prison Initiative students next semester? Come to our first info session to learn how to apply.
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Tuesday, November 17, 2015
Sponsored by the Bard Math Circle
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium The AMC 8 is a 25-question, 40-minute, multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the middle school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.
- Monday, November 16, 2015
- Sunday, November 15, 2015
- Thursday, November 12, 2015
- Wednesday, November 11, 2015
- Tuesday, November 10, 2015
- Monday, November 9, 2015
- Sunday, November 8, 2015
- Thursday, November 5, 2015
- Wednesday, November 4, 2015
- Tuesday, November 3, 2015
- Monday, November 2, 2015
- Sunday, November 1, 2015
- Sunday, November 1, 2015
- Thursday, October 29, 2015
- Wednesday, October 28, 2015
- Tuesday, October 27, 2015
- Monday, October 26, 2015
- Sunday, October 25, 2015
- Thursday, October 22, 2015
- Wednesday, October 21, 2015
- Tuesday, October 20, 2015
- Monday, October 19, 2015
- Sunday, October 18, 2015
- Thursday, October 15, 2015
- Wednesday, October 14, 2015
- Tuesday, October 13, 2015
- Monday, October 12, 2015
- Sunday, October 11, 2015
- Thursday, October 8, 2015
- Wednesday, October 7, 2015
- Tuesday, October 6, 2015
- Monday, October 5, 2015
- Sunday, October 4, 2015
- Thursday, October 1, 2015
- Wednesday, September 30, 2015
- Tuesday, September 29, 2015
- Monday, September 28, 2015
- Sunday, September 27, 2015
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Friday, September 25, 2015
The language of experience and evaluation: Logical and linguistic investigations into subjective judgment
Reem-Kayden Center Room 101 Abstract: We’re all in the business of evaluation. We evaluate basketball players and beers, movies and motels, students and teachers. Philosophical discussions both contemporary and classical have elevated the notion of a judge or point of view in explaining the central puzzling feature of evaluation — the tug-of-war between the subjective genesis of and objective standards of correctness for evaluative judgments. In recent years there has been a torrent of work at the intersection of philosophy and linguistics on so-called "faultless disagreements" — disputes (e.g. over whether vanilla ice cream is tastier than chocolate ice cream) that seem to concern mere personal preferences. I argue that popular accounts misconstrue the meaning of evaluative expressions and that the claims at issue concern norms of experience. On the way to this conclusion, we’ll touch on a number of issues in logic and linguistics: quantification, genericity, modality, and aspect.
Alex Anthony is a PhD candidate at Rutgers University, Department of Philosophy. After completing his undergraduate studies at Wesleyan University he participated in Summer Schools in Logic, Language and Information in Ljubljana, Slovenia and in College Park, Maryland before enrolling at Rutgers. At Wesleyan he received the Wise Prize for the best paper in Philosophy. At Rutgers he received the Presidential Fellowship, one of ten awarded annually university-wide to an outstanding doctoral student.
this is the last seminar in the series
- Thursday, September 24, 2015
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Thursday, September 24, 2015
Reem-Kayden Center
- Wednesday, September 23, 2015
- Tuesday, September 22, 2015
- Monday, September 21, 2015
- Sunday, September 20, 2015
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Friday, September 18, 2015
The language of experience and evaluation: Logical and linguistic investigations into subjective judgment
Reem-Kayden Center Room 101 Abstract: We’re all in the business of evaluation. We evaluate basketball players and beers, movies and motels, students and teachers. Philosophical discussions both contemporary and classical have elevated the notion of a judge or point of view in explaining the central puzzling feature of evaluation — the tug-of-war between the subjective genesis of and objective standards of correctness for evaluative judgments. In recent years there has been a torrent of work at the intersection of philosophy and linguistics on so-called "faultless disagreements" — disputes (e.g. over whether vanilla ice cream is tastier than chocolate ice cream) that seem to concern mere personal preferences. I argue that popular accounts misconstrue the meaning of evaluative expressions and that the claims at issue concern norms of experience. On the way to this conclusion, we’ll touch on a number of issues in logic and linguistics: quantification, genericity, modality, and aspect.
Alex Anthony is a PhD candidate at Rutgers University, Department of Philosophy. After completing his undergraduate studies at Wesleyan University he participated in Summer Schools in Logic, Language and Information in Ljubljana, Slovenia and in College Park, Maryland before enrolling at Rutgers. At Wesleyan he received the Wise Prize for the best paper in Philosophy. At Rutgers he received the Presidential Fellowship, one of ten awarded annually university-wide to an outstanding doctoral student.
this is the last seminar in the series
- Thursday, September 17, 2015
- Wednesday, September 16, 2015
- Tuesday, September 15, 2015
- Monday, September 14, 2015
- Sunday, September 13, 2015
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Friday, September 11, 2015
The language of experience and evaluation: Logical and linguistic investigations into subjective judgment
Reem-Kayden Center Room 101 Abstract: We’re all in the business of evaluation. We evaluate basketball players and beers, movies and motels, students and teachers. Philosophical discussions both contemporary and classical have elevated the notion of a judge or point of view in explaining the central puzzling feature of evaluation — the tug-of-war between the subjective genesis of and objective standards of correctness for evaluative judgments. In recent years there has been a torrent of work at the intersection of philosophy and linguistics on so-called "faultless disagreements" — disputes (e.g. over whether vanilla ice cream is tastier than chocolate ice cream) that seem to concern mere personal preferences. I argue that popular accounts misconstrue the meaning of evaluative expressions and that the claims at issue concern norms of experience. On the way to this conclusion, we’ll touch on a number of issues in logic and linguistics: quantification, genericity, modality, and aspect.
Alex Anthony is a PhD candidate at Rutgers University, Department of Philosophy. After completing his undergraduate studies at Wesleyan University he participated in Summer Schools in Logic, Language and Information in Ljubljana, Slovenia and in College Park, Maryland before enrolling at Rutgers. At Wesleyan he received the Wise Prize for the best paper in Philosophy. At Rutgers he received the Presidential Fellowship, one of ten awarded annually university-wide to an outstanding doctoral student.
this is the last seminar in the series
- Thursday, September 10, 2015
- Wednesday, September 9, 2015
- Tuesday, September 8, 2015
- Monday, September 7, 2015
- Sunday, September 6, 2015
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Friday, September 4, 2015
Olin 102 Interested in applying for a Fulbright Scholarship, a Watson fellowship, or another postgraduate scholarship or fellowship? This information session will cover application procedures, deadlines, and suggestions for crafting a successful application. Applications will be due later this month, so be sure to attend one of the two information sessions!
- Thursday, September 3, 2015
- Wednesday, September 2, 2015
- Tuesday, September 1, 2015
- Monday, August 31, 2015
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Wednesday, July 1, 2015
an exhibition of digital prints by artist (and Bard alum) Steven Salzman
Reem-Kayden Center
Download: SS_BARD_060215copy.pdf - Tuesday, May 12, 2015
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Thursday, March 12, 2015
Applications are due to Megan Karcher, [email protected], by Friday, April 3
Reem-Kayden Center Distinguished Scientist Scholar (DSS) AwardGuidelines and Application Instructions All current students concentrating in biology, chemistry, computer science, mathematics or physics are eligible to apply for a Distinguished Scientist Scholar (DSS) Award. These awards are given to exceptional students who have distinguished themselves academically in one of the above-mentioned disciplines in the division of Science, Mathematics and Computing. The exact amount of each award is determined by the Financial Aid office, on average $5000 for each academic year, and includes the opportunity to apply for a summer research stipend to participate in NSF or NIH sponsored summer research programs at other institutions, if the student is not already eligible for federal funding. Like other science students at Bard, DSS recipients are also eligible for BSRI funding for summer research at Bard. Please note that this is a very competitive process and only a few awards will be given out each year. · Eligibility: To apply for a DSS award (commencing in the fall), a student must meet the following eligibility criteria:o Concentrating in one of the following programs: Biology, Chemistry, Computer Science, Mathematics or Physics.o Not currently receiving a DSS scholarship or award.o Cumulative GPA of 3.0 overall in the college.o Cumulative GPA of 3.5 in courses in the SM&C Division. · Application Procedure:o Write a letter of request to the DSS Committee. The letter should discuss your plan of study in biology, chemistry, computer science, mathematics, and/or physics.o Write an essay about an experience in science or math that you found particularly interesting.o Ask two Bard faculty members to write you letters of recommendation. At least one of these faculty members must be in the SM&C Division. They should submit their letters directly to Megan Karcher.o Submit this information as attachments via e-mail to the SM&C Division secretary, Megan Karcher ([email protected]) · Selection Criteria: Awards will be granted to students showing exceptional qualifications in their areas of study and based upon the following:o College academic records.o Letters of recommendations from the faculty.o A strong interest in working in biology, chemistry, computer science, mathematics, or physics.o Availability of funds. · Deadline: Applications must be submitted no later than Friday, April 3rd, 2015. The DSS Committee will meet shortly after that, and will make recommendations to the Director of Financial Aid, who will determine the final awards. You should receive word of whether you have been selected to receive a DSS award by early May. Questions? Contact Robert McGrail, Chair of the Division of Science, Math and Computing, [email protected].
Download: DSS application memo 15-16.pdf -
Wednesday, February 25, 2015
The national AMC 10B/12B math contest
Reem-Kayden Center As part of its competition program, the Bard Math Circel hosts the AMC 10B/12B contests followed by an engaging math talk by a Bard math professor.
The AMC contests are 25-question, 75-minute, multiple choice examinations in secondary school mathematics containing problems which can be understood and solved with algebra and geometry concepts (AMC 10B) and pre-calculus concepts (AMC 12B), but very challenging.
Please join the Bard Math Circle for this and other events. For more information, visit bardmathcircle.org or email [email protected].
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Friday, February 13, 2015
A lecture by Robert Thompson, Harvey Mudd College
RKC 111 Butterfly wings, snowflakes, and Romanesco cauliflower are all great examples of the beautiful symmetry found in nature. But symmetry also has a second life as a powerful tool for reducing the complexity of mathematical problems. In this talk I'll introduce this second life of symmetry and highlight some of its unlikely applications, including a very impractical scheme to get rich by reassembling broken eggshells.
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Monday, February 9, 2015
A lecture by Victor Barranca, New York University
RKC 115 Mathematics plays an increasingly crucial role in understanding the mechanisms underlying brain activity. This talk introduces fundamental problems in neuroscience and explores how mathematical analysis may provide new solutions, impacting technological advances such as prosthetics and artificial intelligence. We focus on information processing in sensory systems, and study how data may be encoded by neuronal dynamics. Using a large-scale network model of the visual system with nonlinear dynamics, we demonstrate how stimuli may be efficiently compressed by sensory systems and reconstructed through novel signal processing techniques. Especially drawing from the theory of differential equations, probability, and linear systems, this talk highlights the central role of applied mathematics in the interdisciplinary field of computational neuroscience, linking principles from physics, biology, computer science, and engineering.
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Friday, February 6, 2015
A lecture by Kristine Snyder, University of Michigan
RKC 111 While walking and running are everyday activities for most of us, researchers still have a rather limited understanding of how the brain and body interact to produce human locomotion. In this talk, I will offer some examples of how mathematics can be used to help explain the neural processes involved in walking and running. These include identifying the processes involved in minimizing energy expenditure, analyzing the effect of mechanical artifact on mathematical analyses of electroencephalography during walking, and using mathematical modeling to examine dynamic causality between neural sources. I will then discuss how mathematical models, experimental analysis, and the development of appropriate mathematical measures can interact to help us answer some remaining fundamental questions about neural activity during gait.
- Thursday, December 18, 2014
- Wednesday, December 17, 2014
- Tuesday, December 16, 2014
- Monday, December 15, 2014
- Sunday, December 14, 2014
- Thursday, December 11, 2014
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Thursday, December 11, 2014
Reem-Kayden Center Students presenting:
Oliver Bruce, Michael DiRosa, Jacob Fauber, Andy Huynh, Caitlin Majewski, Henry Meyers, Cameron West, Clare Wheeler
Advisers:
Rebecca Thomas, Matthew Deady, Keith O’Hara, James Belk, Csilla Szabo, Sven Anderson, Sarah Dunphy-Lelii, Christopher LaFratta
- Wednesday, December 10, 2014
- Tuesday, December 9, 2014
- Monday, December 8, 2014
- Sunday, December 7, 2014
- Thursday, December 4, 2014
- Wednesday, December 3, 2014
- Tuesday, December 2, 2014
- Monday, December 1, 2014
- Sunday, November 30, 2014
- Thursday, November 27, 2014
- Wednesday, November 26, 2014
- Tuesday, November 25, 2014
- Monday, November 24, 2014
- Sunday, November 23, 2014
- Thursday, November 20, 2014
- Wednesday, November 19, 2014
- Tuesday, November 18, 2014
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Tuesday, November 18, 2014
A middle school math contest and engaging math talk.
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium The AMC 8 Contest contains engaging math problems that are challenging at the middle school level. The exam is intended to inspire, promote enthusiasm, and a healthy attitude towards mathematics. Students will be exposed to the richness of middle school level mathematics at a deeper level than ordinarily encountered in the schools.
After the exam, students will be treated to an engaging math talk from a Bard math professor.
Students need to register in advance to participate in this on-campus event. For more information, email [email protected] or visit bardmathcircle.org.
- Monday, November 17, 2014
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Monday, November 17, 2014
Lisa Warshauer Lowrance, United States Military Academy, West Point
Hegeman 204 Consider the problem of information passing in a network. When one person is given a piece of information in a network and every person is allowed to pass this piece of information to exactly one person at any discrete time step, we give an optimal algorithm to pass this information to every person in the network in the fewest number of time steps. A similar algorithm is used to find the optimal starting person. These algorithms are applied to specific classes of graphs and also interpreted to give applications to cyber-security. ** Only an algebra background needed for the talk
- Sunday, November 16, 2014
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Saturday, November 15, 2014
Middle school math circle
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium The Bard Math Circle is a mathematical enrichment program geared toward middle school and elementary students. Each month features puzzles and games, challenging problems, and a hands-on project that students can take home. We help students strengthen their critical thinking skills and make math more fun.
Students need to register in advance to participate in this on-campus event. For more information, email [email protected] or visit bardmathcircle.org.
- Thursday, November 13, 2014
- Wednesday, November 12, 2014
- Tuesday, November 11, 2014
- Monday, November 10, 2014
- Sunday, November 9, 2014
- Thursday, November 6, 2014
- Wednesday, November 5, 2014
- Tuesday, November 4, 2014
- Monday, November 3, 2014
- Sunday, November 2, 2014
- Sunday, November 2, 2014
- Thursday, October 30, 2014
- Wednesday, October 29, 2014
- Tuesday, October 28, 2014
- Monday, October 27, 2014
- Sunday, October 26, 2014
- Thursday, October 23, 2014
- Wednesday, October 22, 2014
- Tuesday, October 21, 2014
- Monday, October 20, 2014
- Sunday, October 19, 2014
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Saturday, October 18, 2014
Middle school math circle
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium The Bard Math Circle is a mathematical enrichment program geared toward middle school and elementary students. Each month features puzzles and games, challenging problems, and a hands-on project that students can take home. We help students strengthen their critical thinking skills and make math more fun.
Students need to register in advance to participate in this on-campus event. For more information, email [email protected] or visit bardmathcircle.org.
- Thursday, October 16, 2014
- Wednesday, October 15, 2014
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Wednesday, October 15, 2014
Dinner will be served.
RKC 200 Please join us for the most in-depth information about the Levy M.S. program. Levy Institute Scholar and Director of Applied Micromodeling Thomas Masterson will be available to discuss the program curriculum as well as the research that takes place at the Institute.Dinner will be catered by Rusty’s Farm Fresh Eatery and the Bard Farm. Please RSVP by e-mailing Azfar Khan ([email protected]) and indicate your choice of meal: vegetarian, vegan, or nonvegetarian.Early Decision deadline: November 15 | Regular Decision deadline: January 15Visit us at www.bard.edu/levyms.
- Tuesday, October 14, 2014
- Monday, October 13, 2014
- Sunday, October 12, 2014
- Thursday, October 9, 2014
- Wednesday, October 8, 2014
- Tuesday, October 7, 2014
- Monday, October 6, 2014
- Sunday, October 5, 2014
- Thursday, October 2, 2014
- Wednesday, October 1, 2014
- Tuesday, September 30, 2014
- Monday, September 29, 2014
- Sunday, September 28, 2014
- Thursday, September 25, 2014
- Wednesday, September 24, 2014
- Tuesday, September 23, 2014
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Tuesday, September 23, 2014
Reem-Kayden Center Join faculty and students who participated in this year's Bard Summer Research Institute in presenting their work!
- Monday, September 22, 2014
- Sunday, September 21, 2014
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Saturday, September 20, 2014
The Science, Mathematics & Computing Division will be sending a bus down to the New York Hall of Science in Queens, NY on Saturday, September 20. Space on the bus is LIMITED. The bus will depart RKC promptly at 9 a.m. and return to campus at approximately 7 p.m.
Tickets to get into the Faire and a spot in the van are $30.00.
CASH ONLY, EXACT CHANGE ONLY.
Reservations will be accepted until Friday, September 12
TO RESERVE YOUR TICKET AND A SPOT IN THE VAN, PLEASE SEE MEGAN KARCHER, RKC 219. Office hours are Monday-Friday, 8:00-4:00 p.m.
- Thursday, September 18, 2014
- Wednesday, September 17, 2014
- Tuesday, September 16, 2014
- Monday, September 15, 2014
- Sunday, September 14, 2014
- Thursday, September 11, 2014
- Wednesday, September 10, 2014
- Tuesday, September 9, 2014
- Monday, September 8, 2014
- Sunday, September 7, 2014
- Thursday, September 4, 2014
- Wednesday, September 3, 2014
- Tuesday, September 2, 2014
- Monday, September 1, 2014
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Monday, August 25, 2014
RKC 101 Professor Frank Scalzo
Health Professions Adviser, Bard CollegeProfessor Scalzo will introduce the pathways leading to post-baccalaureate degrees in the health professions, including allopathic medicine, osteopathic medicine, veterinary medicine, dentistry, optometry, etc. etc. The discussion will be tailored to the interests of the audience. If you are interested in a health profession, but have not attended a similar previous discussion, you should attend this one.
- Monday, May 19, 2014
- Sunday, May 18, 2014
- Thursday, May 15, 2014
- Thursday, May 15, 2014
- Wednesday, May 14, 2014
- Tuesday, May 13, 2014
- Monday, May 12, 2014
- Sunday, May 11, 2014
- Thursday, May 8, 2014
- Wednesday, May 7, 2014
- Tuesday, May 6, 2014
- Monday, May 5, 2014
- Sunday, May 4, 2014
- Thursday, May 1, 2014
- Wednesday, April 30, 2014
- Tuesday, April 29, 2014
- Monday, April 28, 2014
- Sunday, April 27, 2014
- Thursday, April 24, 2014
- Wednesday, April 23, 2014
- Tuesday, April 22, 2014
- Monday, April 21, 2014
- Sunday, April 20, 2014
- Thursday, April 17, 2014
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Thursday, April 17, 2014
A lecture by Peter Winkler, Dartmouth College
Hegeman 308 Humans are not born with perfect mathematical intuition, to say the least, yet most decisions we make are based on "feel," not calculation. Today you will hear some mind-boggling puzzles (some with solutions, some without) that are designed to help you adjust your intuition when it's about to run off the rails. This talk is aimed at college students (and at anyone who likes to have their mind boggled!).
- Wednesday, April 16, 2014
- Tuesday, April 15, 2014
- Monday, April 14, 2014
- Sunday, April 13, 2014
- Thursday, April 10, 2014
- Wednesday, April 9, 2014
- Tuesday, April 8, 2014
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Tuesday, April 8, 2014
A lecture by Rachel Roe-Dale, Associate Professor of Mathematics, Skidmore College
Hegeman 204 Several experimental and clinical studies have documented that the order in which chemotherapy drugs are administered affects the outcome of cancer treatment. I present a brief discussion of a simple mathematical mechanism to explain this order dependence in conjunction with more detailed models which investigate the specific relationship between drug order and treatment response in breast cancer chemotherapy and gastric cancer chemotherapy. In all cases, I simulate treatment by bolus injection and employ a pulsing condition to indicate cell kill. I then extend this type of treatment model to my current investigation which considers the dynamics of bacteria and yeast populations. I model these populations as competitive species and simulate antibiotic treatment to investigate how this treatment alters the behavior and dynamics of the populations perhaps leading to an infectious state.
- Monday, April 7, 2014
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Monday, April 7, 2014
A lecture by Taalaibek Imanaliev, AUCA
RKC 102 - Sunday, April 6, 2014
- Thursday, April 3, 2014
- Wednesday, April 2, 2014
- Tuesday, April 1, 2014
- Monday, March 31, 2014
- Sunday, March 30, 2014
- Thursday, March 27, 2014
- Wednesday, March 26, 2014
- Tuesday, March 25, 2014
- Monday, March 24, 2014
- Sunday, March 23, 2014
- Thursday, March 20, 2014
- Wednesday, March 19, 2014
- Tuesday, March 18, 2014
- Monday, March 17, 2014
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Monday, March 17, 2014
A presentation by Dr. Robert Moniot, Chair, Department of Computer & Information Science, Fordham University and Dr. Damian Lyons, Director, FRCV Lab, Fordham University
RKC 100 The first presentation overviews the Computer and Information Science (CIS) department at Fordham University and introduces the CIS graduate program in Computer Science.
In the second presentation, three pieces of ongoing research at the FRCV Lab will be overviewed: visual homing, multirobot exploration and formal analysis of robot behavior to generate performance guarantees.
Visual homing is a navigation approach first proposed as a model of inspect behavior. Because it requires only visual image comparisons, it is a simple and general approach. However, goal directed motion in the absence of distance information can be error prone. Nirmal & Lyons (2013) proposed a stereocamera based visual homing whose performance improves on that of regular visual homing.
In deploying a team of robots to explore an area for search and rescue or C-WMD missions, it is preferable for the team to spread out and cover the area as quickly as possible. It is difficult to design a simple, decentralized dispersion algorithm that works with a wide range building layouts. Liu and Lyons (2014) developed a simple yet general potential field approach based on the concept of generating a potential in empty space that reflects coverage.
It would be preferable to deploy autonomous teams rather than teleoperated robots to handle C-WMD missions given the potential for widespread and serious damage. However, autonomous robots can behave very unpredictably. Formal verification techniques, such as model-checking, could be applied to this problem, but the requirement parallel activities, time-constrained and probabilistic action, and real-number variables all cause extreme state-space size issues. Lyons and Arkin (2012) propose an approach to verification of behavior-based robot systems based on a process algebra model of recurrence a dynamic Bayesian network for probabilistic filtering. They show that this can be used for efficient verification of performance guarantees and validate the guarantees with extensive experimentation.
- Sunday, March 16, 2014
- Thursday, March 13, 2014
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Thursday, March 13, 2014
A lecture by Yan Zhang, University of California, Berkeley
Hegeman 308 Adinkras are graphical tools created for the study of representations in supersymmetry. Besides having inherent interest for physicists, adinkras offer many easy-to-state and accessible open problems for mathematicians from different trades (by the end of the talk, I will have pretended to have known stuff about Clifford algebras, posets, coding theory, switching graphs, and algebraic topology...), but especially combinatoralists! I will include my original results, but mostly, I just want to share my enthusiasm for these pretty objects. No specialist knowledge required.
- Wednesday, March 12, 2014
- Tuesday, March 11, 2014
- Monday, March 10, 2014
- Sunday, March 9, 2014
- Thursday, March 6, 2014
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Thursday, March 6, 2014
A lecture by James Gatewood, United States Military Academy
Hegeman 308 We present an urban network that takes into account how streets and neighborhoods interact and influence each other. This two-mode urban structure presents another approach to analyze urban environments. We use GIS to construct a network map of an American city and then apply network analysis to evaluate how the network structure influences such features as traffic flow, density and housing considerations. Also, given the rise of African cities, where some are being completely designed and developed in lieu of developing organically, the results of this project will make recommendations for effective metropolitan growth structures.
- Wednesday, March 5, 2014
- Tuesday, March 4, 2014
- Monday, March 3, 2014
- Sunday, March 2, 2014
- Thursday, February 27, 2014
- Wednesday, February 26, 2014
- Tuesday, February 25, 2014
- Monday, February 24, 2014
- Sunday, February 23, 2014
- Thursday, February 20, 2014
- Wednesday, February 19, 2014
- Tuesday, February 18, 2014
- Monday, February 17, 2014
- Sunday, February 16, 2014
- Thursday, February 13, 2014
- Wednesday, February 12, 2014
- Tuesday, February 11, 2014
- Monday, February 10, 2014
- Sunday, February 9, 2014
- Thursday, February 6, 2014
- Wednesday, February 5, 2014
- Tuesday, February 4, 2014
- Monday, February 3, 2014
- Sunday, February 2, 2014
- Thursday, January 30, 2014
- Thursday, December 19, 2013
- Wednesday, December 18, 2013
- Tuesday, December 17, 2013
- Monday, December 16, 2013
- Sunday, December 15, 2013
- Thursday, December 12, 2013
- Wednesday, December 11, 2013
- Tuesday, December 10, 2013
- Tuesday, December 10, 2013
- Monday, December 9, 2013
- Sunday, December 8, 2013
- Thursday, December 5, 2013
- Wednesday, December 4, 2013
- Tuesday, December 3, 2013
- Monday, December 2, 2013
- Sunday, December 1, 2013
- Thursday, November 28, 2013
- Wednesday, November 27, 2013
- Tuesday, November 26, 2013
- Monday, November 25, 2013
- Sunday, November 24, 2013
- Thursday, November 21, 2013
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Thursday, November 21, 2013
Hegeman 204 A lecture by Zachary Hamaker '08
A sorting network is a way to reverse a list of numbers by swapping adjacent entries in the list using as few swaps as possible. We will discuss what a random sorting network looks like. To do so, we will highlight the role of simulation in mathematics, use combinatorial and probabilistic techniques and explore what it means to describe a random object. There will be open problems. There will be surprising conjectures. We will look at the best pictures. The target audience is all Bard students.
- Wednesday, November 20, 2013
- Tuesday, November 19, 2013
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Tuesday, November 19, 2013
Reem-Kayden Center The Bard Math Circle will host the AMC 8 Math Contest for the second year. The AMC 8, first offered in 1985, is an annual contest in middle school mathematics sponsored by the Mathematical Association of America. In 2012, more than 150,000 students from 2,300 schools participated in the AMC 8 contest, including 49 students at Bard College from around the Mid-Hudson Valley. The AMC 8 program at Bard will include an inspirational talk by Bard mathematics professor Sam Hsiao, and a panel discussion for parents entitled "Supporting Your Child as a High Achiever in Math and Science."
Note: The location of Sam Hsiao's talk has been moved to the Olin Language Center, room 115. The rest of the AMC 8 program will remain in the RKC.
- Monday, November 18, 2013
- Sunday, November 17, 2013
- Thursday, November 14, 2013
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Thursday, November 14, 2013
Hegeman 204 A lecture by
Natasha Komarov
Carnegie Mellon University
We consider a pursuit-evasion game played on a graph in which the pursuer—here referred to as “hunter”'—is not constrained by the graph but must play in the dark against a “mole.” It turns out that the graphs—which we will call “hunter-win”—on which the hunter can guarantee capture of the mole in bounded time have a nice characterization: a graph is hunter-win if and only if it is a lobster. We also define an optimal hunter strategy (and consequently an upper bound on maximum game time on hunter-win graphs) and note that an optimal hunter strategy need not take advantage of the hunter's unconstrained movement.
- Wednesday, November 13, 2013
- Tuesday, November 12, 2013
- Monday, November 11, 2013
- Sunday, November 10, 2013
- Thursday, November 7, 2013
- Wednesday, November 6, 2013
- Tuesday, November 5, 2013
- Monday, November 4, 2013
- Sunday, November 3, 2013
- Sunday, November 3, 2013
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Saturday, November 2, 2013
Reem-Kayden Center Please join us for The Fourth Biennial Mid-Hudson Mathematics Conference for Undergraduates
Plenary Address by Sam Vandervelde of St. Lawrence University: "Path-Counting for Pleasure and Profit"
The conference will be held in the Gabrielle H. Reem and Herbert J. Kayden Center for Science and Computation at Bard College. Continental breakfast and lunch are complimentary and registration is free. Undergraduates, graduate students, and faculty are invited to give 20-minute talks. To register and/or submit an abstract, go to math.bard.edu/mhmc2013.
Abstract deadline: Friday, October 18.
Please register soon, even if you are not giving a talk. Funding for this conference is provided by Bard College and by NSF grant DMS-0846477 through the MAA Regional Undergraduate Mathematics Conferences program.
- Thursday, October 31, 2013
- Wednesday, October 30, 2013
- Tuesday, October 29, 2013
- Monday, October 28, 2013
- Sunday, October 27, 2013
- Thursday, October 24, 2013
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Thursday, October 24, 2013
Hegeman 204 A lecture by
Brigitte Servatius
Worcester Polytechnic Institute
A bar-and-joint framework in the plane with degree of freedom 1 is a mechanism. A famous simple example of a mechanism is the Watt engine, also called Watt's parallel linkage. It consists of two grounded bars (or links) whose free ends are connected by a third link. In Watt's patent specification of 1784 for the Watt steam engine he explains that the midpoint of the connecting link is constrained to move on a (good approximation to a) straight line. This fact is still used in automobile suspensions, allowing the axle of a vehicle to travel vertically while preventing sideways motion.
It is well known that the operations of 0-extension and 1-extension, the so called Henneberg moves, may always be done on a mechanism to preserve the degree of freedom infinitesimally and generically. But, is it true that for a given generic realization of a mechanism these operations may be performed without restricting the motion?
- Wednesday, October 23, 2013
- Tuesday, October 22, 2013
- Monday, October 21, 2013
- Sunday, October 20, 2013
- Thursday, October 17, 2013
- Wednesday, October 16, 2013
- Tuesday, October 15, 2013
- Monday, October 14, 2013
- Sunday, October 13, 2013
- Thursday, October 10, 2013
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Thursday, October 10, 2013
Hegeman 204 A lecture by
Daniel Cristofaro-Gardiner
The Institute for Advanced Study
The "Ehrhart polynomial" is an important tool for counting lattice points in triangles and other polygons. An Ehrhart polynomial has a "period", and the relationship between the coordinates of the vertices of a polygon and the period of its Ehrhart polynomial can be quite mysterious. Daniel Cristofaro-Gardiner will present recent joint work with Aaron Kleinman relating the periods of the Ehrhart polynomials of some simple triangles with recursive sequences like the Fibonacci numbers and the Pell numbers. Interestingly, this is linked to a curious staircase arising in a special geometry called "symplectic" geometry.
- Wednesday, October 9, 2013
- Tuesday, October 8, 2013
- Monday, October 7, 2013
- Sunday, October 6, 2013
- Thursday, October 3, 2013
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Thursday, October 3, 2013
Reem-Kayden Center Students presenting:
Emin Atuk, Tedros Balema, Griffin Burke, Kathleen Burke, Desi-Rae Campbell, Kody Chen, Yan Chu, Matt Dalrymple, Tom Delaney, Georgia Doing, Leila Duman, Colyer Durovich, Matthew Greenberg, Sumedha Guha, Asad Hashmi, Emily Hoelzli, Nushrat Hoque, Seoyoung Kim, Muhsin King, Midred Kissai, Julia Les, Lei Lu, Yuexi Ma, Katherine Moccia, Gavin Myers, Van Mai Nguyen Thi, Matthew Norman, Molly North, Nathaniel Oh, Ian Pelse, Linh Pham, Christina Rapti, Joanna Regan, Diana Ruggiero, Iden Sapse, Clara Sekowski, Sabrina Shahid, Min Kyung Shinn, Anuska Shrestha, Eva Shrestha, Shailab Shrestha, Olja Simoska, Ingrid Stolt, Henry Travaglini, Shuyi Weng, Clare Wheeler, Noah Winslow
Advisers: Craig Anderson, Sven Anderson, Paul Cadden-Zimansky, John Cullinan, Olivier Giovannoni, Swapan Jain, Brooke Jude, Christopher LaFratta, Robert McGrail, Emily McLaughlin, Keith O’Hara, Bruce Robertson, Lauren Rose, Rebecca Thomas
- Wednesday, October 2, 2013
- Tuesday, October 1, 2013
- Monday, September 30, 2013
- Sunday, September 29, 2013
- Thursday, September 26, 2013
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Thursday, September 26, 2013
Hegeman 204 A lecture by
Branden Stone
Mathematics Program
The Hilbert series of a module over a commutative ring is a generating function that captures many invariants of the module. In the case of zero dimensional standard graded rings, the Hilbert series is a polynomial and we call the coefficients the h-vector. As it turns out, the number of such h-vectors of length n is bounded above by the nth Fibonacci number. In this talk, we will define the Hilbert series and give some basic examples. We will also discuss the sequence defined by the number of h-vectors of a given length and its relation to the Fibonacci numbers and partitions. This talk will be accessible to anyone who has taken (or is currently taking) linear algebra.
- Wednesday, September 25, 2013
- Tuesday, September 24, 2013
- Monday, September 23, 2013
- Sunday, September 22, 2013
- Thursday, September 19, 2013
- Wednesday, September 18, 2013
- Tuesday, September 17, 2013
- Monday, September 16, 2013
- Sunday, September 15, 2013
- Thursday, September 12, 2013
- Wednesday, September 11, 2013
- Tuesday, September 10, 2013
- Monday, September 9, 2013
- Sunday, September 8, 2013
- Thursday, September 5, 2013
- Wednesday, September 4, 2013
- Tuesday, September 3, 2013
- Tuesday, September 3, 2013
- Monday, September 2, 2013
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Monday, June 3, 2013
Bard College Campus
- Monday, May 20, 2013
- Sunday, May 19, 2013
- Thursday, May 16, 2013
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Thursday, May 16, 2013
Reem-Kayden Center Students presenting:
Adenike Akapo, Raed, Al-Abbasee Ammar Al-Rubaiay, Perry Anderson, Michael Anzuoni, Jeremy Arnstein, Nina Bar-Giora, Ian Barnett, Brendan Beecher, Abhinanda Bhattarcharyya, Cara Black, Sheneil Black, Laura Bradford, Cameron Brenner, Ross Cameron, Emily Carlson, Matteo Chierchia, Diana Crow, Kierstin Daviau, Jonathan De Wolf, Ha Phuong Do Thi, Katharine Dooley, Alexia Downs, Kimara DuCasse, Amy Eisenmenger, Jose Falla, Margo Finn, Joseph Foy, Prabarna Ganguly, Nabil Hossain, Matthew Hughes, Linda Ibojie, Miles Ingram, Lena James, Blagoy Kaloferov, Sun Bin Kim, Thant Ko Ko, Ruth Lakew, Hsiao-Fang Lin, Sam Link, Amy List, Weiying Liu, Julia Lunsford, Iliana Maifeld-Carucci, Claire Martin, Andres Medina, Jose Mendez, Tiago Moura, Jonathan Naito, Anam Nasim, Rachit Neupane, Mark Neznansky, Jeffrey Pereira, Liana Perry, Anisha Ramnani, Lydia Rebehn, Nolan Reece, Jonah Richard, Loralee Ryan, Perry Scheetz, Joy Sebesta, Erin Smith, Will Smith, Frank Stortini, James Sunderland, Oliver Switzer, Jacqueline Villiers, Weiqing Wang, Jasper Weinrich-Burd, Michael Weinstein, Layla Wolfgang, Fanya Wyrick-Flax, Sara Yilmaz, Anis Zaman, Wancong Zhang, Feifan Zheng
- Wednesday, May 15, 2013
- Tuesday, May 14, 2013
- Monday, May 13, 2013
- Sunday, May 12, 2013
- Thursday, May 9, 2013
- Wednesday, May 8, 2013
- Tuesday, May 7, 2013
- Monday, May 6, 2013
- Sunday, May 5, 2013
- Thursday, May 2, 2013
- Wednesday, May 1, 2013
- Tuesday, April 30, 2013
- Monday, April 29, 2013
- Sunday, April 28, 2013
- Thursday, April 25, 2013
- Wednesday, April 24, 2013
- Tuesday, April 23, 2013
- Monday, April 22, 2013
- Sunday, April 21, 2013
- Thursday, April 18, 2013
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Thursday, April 18, 2013
Hegeman 308 A lecture by
Tristan Hübsch
Professor of Physics, Howard University
Symmetry is recognized throughout nature and our descriptions of it. Mathematically, it requires that varying some quantity results in no observable change: rotate a well-formed clover leaf by 120 degrees, and it looks the same. Supersymmetry is such a transformation, the only one known to guarantee our Universe from decaying into another, and then another, and again, and again. Yet, this transformation maps physical quantities measured in terms of ordinary numbers into quantities measured in numbers that square to zero. The study of this supersymmetry being underway for about half a century, it is surprising that a complete (so-called off-shell) representation theory is only now emerging---and it includes certain binary encryption codes, of the kind used by your browser to insure that the downloaded page is a faithful copy of the original on a web-site! This fascinating syzygy of diverse ideas opens doors to new discoveries in physics, mathematics and encryption alike. This talk does not assume any advanced background in mathematics or physics.
Refreshments will be served afterwards in the Albee Math Lounge.
- Wednesday, April 17, 2013
- Tuesday, April 16, 2013
- Monday, April 15, 2013
- Sunday, April 14, 2013
- Thursday, April 11, 2013
- Wednesday, April 10, 2013
- Tuesday, April 9, 2013
- Monday, April 8, 2013
- Sunday, April 7, 2013
- Thursday, April 4, 2013
- Wednesday, April 3, 2013
- Tuesday, April 2, 2013
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Tuesday, April 2, 2013
EXTENDED DEADLINE
Applications due Tuesday, April 30
All current students concentrating in biology, chemistry, computer science, mathematics or physics are eligible to apply for a Distinguished Scientist Scholar (DSS) Award. These awards are given to exceptional students who have distinguished themselves academically in one of the above-mentioned disciplines in the division of Science, Mathematics and Computing. The exact amount of each award is determined by the Financial Aid office, on average $5000 for each academic year, and includes the opportunity to apply for a summer research stipend to participate in NSF or NIH sponsored summer research programs at other institutions, if the student is not already eligible for federal funding. Like other science students at Bard, DSS recipients are also eligible for BSRI funding for summer research at Bard. Please note that this is a very competitive process and only a few awards will be given out each year.Eligibility: To apply for a DSS award (commencing in the fall), a student must meet the following eligibility criteria:o Concentrating in one of the following programs: Biology, Chemistry, Computer Science, Mathematics or Physics.o Not currently receiving a DSS scholarship or award.o Cumulative GPA of 3.0 overall in the college.o Cumulative GPA of 3.5 in courses in the SM&C Division. Application Procedure:o Write a letter of request to the DSS Committee. The letter should discuss your plan of study in biology, chemistry, computer science, mathematics, and/or physics.o Write an essay about an experience in science or math that you found particularly interesting.o Ask two Bard faculty members to write you letters of recommendation. At least one of these faculty members must be in the SM&C Division. They should submit their letters directly to Megan Karcher.o Submit this information as attachments via e-mail to the SM&C Division secretary, Megan Karcher ([email protected])Selection Criteria: Awards will be granted to students showing exceptional qualifications in their areas of study and based upon the following:o College academic records.o Letters of recommendations from the faculty.o A strong interest in working in biology, chemistry, computer science, mathematics, or physics.o Availability of funds.Deadline: Applications must be submitted no later than Friday, April 12th, 2013.The DSS Committee will meet shortly after that, and will make recommendations to the Director of Financial Aid, who will determine the final awards. You should receive word of whether you have been selected to receive a DSS award by early May. Questions? Contact Sven Anderson, Chair of the Division of Science, Math and Computing, [email protected].
- Monday, April 1, 2013
- Sunday, March 31, 2013
- Thursday, March 28, 2013
- Wednesday, March 27, 2013
- Tuesday, March 26, 2013
- Monday, March 25, 2013
- Sunday, March 24, 2013
- Thursday, March 21, 2013
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Thursday, March 21, 2013
RKC 111 A lecture by
Csilla Szabo
Candidate for the position in Mathematics
Networks are all around us! From our social interactions to the neurons in our brains to financial markets, we find network structure. Network science can help us to better understand how these complex systems in our world work. We will begin our discussion with a brief introduction to network science; including the components of a network, how we measure the center of a network and other network metrics. I will present some interesting applications of network science that you may encounter in your daily life. Finally, I will conclude with an overview of three ongoing projects in network science. The first looks at how use network structure to classify a financial market. Second, we will explore how Twitter can be used to predict an event such as a protest or revolution during the time of the Arab Spring. Finally, I will present a project examining the links between water, energy and social networks in developing countries and plans of how this multi-layered network can be synchronized to build a resilient and robust network, which could supply more people with these resources.
- Wednesday, March 20, 2013
- Tuesday, March 19, 2013
- Monday, March 18, 2013
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Monday, March 18, 2013
Dominoes, Problem-Solving & Graph Theory
Reem-Kayden Center A Math Teachers' Circle is a community of math teachers, math professors, & professional mathematicians, coming together to do fun, open-ended math. Typically, we engage in open-ended, brain-teasing, fun problems that require us to think in new and creative ways. Then, we talk about the math together and share ideas and resources for bringing the math into the classroom. Each teacher will receive manipulatives and other take-aways related to the problems at hand, and dinner will be served.
Please join us for an afternoon designed to celebrate the excitement of math, to deepen our understanding of both content and math practice standards, and to explore classroom-ready resources. For more information about math teachers circles in general, visit http://www.mathteacherscircle.org/
Steering Committee for the Mid-Hudson Math Teachers Circle: Lauren Rose, (Professor of Mathematics, Bard College), Jeff Suzuki (Professor of Mathematics, Brooklyn College), Sheila Shaffer (Math Teacher, Bailey MS, Kingston), Beth Goldberg (Math Teacher, Red Hook Schools) & Dana Fulmer (Supervisor, Professional Development, Ulster BOCES)
Co-sponsored by Bard College & Ulster BOCES.
Reem-Kayden Center, room 115
- Sunday, March 17, 2013
- Thursday, March 14, 2013
- Wednesday, March 13, 2013
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Wednesday, March 13, 2013
RKC 102 A Lecture by Amir Barghi, Candidate for the Position in Mathematics
In the Firefighter Problem, a fire starts at a vertex of a graph (a tree in an orchard or a forest). In discrete time intervals, the fire spreads from burning vertices to their neighbors (from burning trees to the ones close by) unless they are protected by one of the firefighters that are deployed every turn. Once burned or protected, a vertex remains in that state. This process terminates when the fire can not spread any longer. In the case of finite graphs, firefighters wish to minimize the damage or the time that the fire rages. When a fire starts in an infinite graph, the key question is whether the fire can be stopped. In this talk, two different models for an infinite forest on a flat terrain will be introduced and conditions under which a fire can be stopped will be discussed.
- Tuesday, March 12, 2013
- Monday, March 11, 2013
- Sunday, March 10, 2013
- Thursday, March 7, 2013
- Wednesday, March 6, 2013
- Tuesday, March 5, 2013
- Monday, March 4, 2013
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Monday, March 4, 2013
Hegeman 308 A lecture by
Emma Norbrothen
Candidate for the Position in Mathematics
Rational numbers can construct the real numbers by using the absolute value metric. Under different metrics, rationals can construct different types of numbers. In particular, the p-norm evaluates how much a prime, p, is a factor in a given rational. We will explore some consequences of the p-norm and what kind of numbers it creates from the rationals.
- Sunday, March 3, 2013
- Thursday, February 28, 2013
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Thursday, February 28, 2013
RKC 111 A lecture by
Avner Halevy
Candidate for the position in Mathematics
Go ahead, put on your n-dimensional goggles. To be sure, we’re not talking n=3 (for kids and the faint-hearted). Think higher; so high your head has almost disappeared; so high your neighbors are all suspiciously alike and almost perfectly different. As thrill-seeking mathematicians, we’ll go where no man has gone before (well, except for those other thrill-seeking mathematicians). We’ll explore some mind-bending high-dimensional phenomena, including: Surprising methods for eliminating surprises, low-distortion inter-dimensional travel, what the laws of large numbers don’t tell you, how geometry and probability are sometimes the same thing, easily mowing your hyper-spherical lawn, and where to look for your hat in a high-dimensional room.
- Wednesday, February 27, 2013
- Tuesday, February 26, 2013
- Monday, February 25, 2013
- Sunday, February 24, 2013
- Thursday, February 21, 2013
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Thursday, February 21, 2013
RKC 111 A lecture by
Amanda Redlich
Candidate for the position in Mathematics
When is it possible to glue two graphs together? When is it possible to slice a large graph? What does "first-order logic with parity quantifiers" mean, and what does it have to do with gluing and cutting graphs? In this talk I will answer all four of these questions. No previous knowledge of parity, first-order logic, graphs, scissors, or glue will be assumed.
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Thursday, February 21, 2013
Website Anyone who is interested in submitting a scientific research paper or scientific review to be peer-reviewed should send in their submissions to [email protected] by March 1st.
For more details on our submission guidelines, check out our tumblr at bardsciencejournal.tumblr.com or email us and ask for a pdf copy.
- Wednesday, February 20, 2013
- Tuesday, February 19, 2013
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Tuesday, February 19, 2013
Hegeman 308 Nathanial Burch
Candidate for the Position in Mathematics
Mathematical models are used across the sciences to help understand complicated processes, e.g., the life expectancy of a nuclear reactor, the spread of a contaminant, the risk of a disease outbreak, the sustainability of an endangered species, and so on. In this talk, we introduce sensitivity analysis as a tool for studying the dynamics of such a model and identifying which parameters have a significant impact on its output. This analysis plays a crucial role in informing viable and effective management strategies while also helping to quantify the effects of uncertainty in parameter values. Examples from biology and epidemiology will be presented throughout the talk.
- Monday, February 18, 2013
- Sunday, February 17, 2013
- Thursday, February 14, 2013
- Wednesday, February 13, 2013
- Tuesday, February 12, 2013
- Monday, February 11, 2013
- Sunday, February 10, 2013
- Thursday, February 7, 2013
- Wednesday, February 6, 2013
- Tuesday, February 5, 2013
- Monday, February 4, 2013
- Sunday, February 3, 2013
- Thursday, January 31, 2013
- Thursday, December 20, 2012
- Wednesday, December 19, 2012
- Tuesday, December 18, 2012
- Monday, December 17, 2012
- Sunday, December 16, 2012
- Thursday, December 13, 2012
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Thursday, December 13, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
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Thursday, December 13, 2012
Reem-Kayden Center Students Presenting:
Stephanie Dunn
Adviser: Felicia Keesing
Justin Gero
Adviser: Felicia Keesing
Liza Miller
Adviser: Brooke Jude
Keaton Morris-Stan
Adviser: Philip Johns
Megan Naidoo
Adviser: Philip Johns
Jonah Peterschild
Adviser: Felicia Keesing
Damianos Lazaridis Giannopoul
Adviser: John Cullinan
- Wednesday, December 12, 2012
- Tuesday, December 11, 2012
- Monday, December 10, 2012
- Sunday, December 9, 2012
- Thursday, December 6, 2012
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Thursday, December 6, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, December 5, 2012
- Tuesday, December 4, 2012
- Monday, December 3, 2012
- Sunday, December 2, 2012
- Thursday, November 29, 2012
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Thursday, November 29, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, November 28, 2012
- Tuesday, November 27, 2012
- Monday, November 26, 2012
- Sunday, November 25, 2012
- Thursday, November 22, 2012
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Thursday, November 22, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, November 21, 2012
- Tuesday, November 20, 2012
- Monday, November 19, 2012
- Sunday, November 18, 2012
- Thursday, November 15, 2012
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Thursday, November 15, 2012
RKC 111 A lecture by
Courtney Gibbons
University of Nebraska, Lincoln
If you love math and games, you've probably done a few Sudoku puzzles in your day. Have you noticed that all Sudoku puzzles have some properties in common (the sum of every row is 45, for instance)? We'll see how to formalize these observations by using polynomials to set up the Sudoku "game space." Then we'll figure out how to solve specific "game boards" in this space using some tools from (abstract) algebra.
Don't worry; even if you haven't taken any abstract algebra, you'll be able to follow this talk (all you really need is a background in Calculus II).
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Thursday, November 15, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, November 14, 2012
- Tuesday, November 13, 2012
- Monday, November 12, 2012
- Sunday, November 11, 2012
- Thursday, November 8, 2012
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Thursday, November 8, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
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Thursday, November 8, 2012
RKC 111 Fanya Wyrick-Flax
4:30 p.m.
Mark Neznansky
4:38 p.m.
Ruth Lakew
4:46 p.m.
Weiying Liu
4:54 p.m.
Layla Wolfgang
5:02 p.m.
Joy Sebesta
5:10 p.m.
Jeffrey Pereira
5:18 p.m.
Illiana Maifield-Carucci
5:26 p.m.
Anam Nasim
5:34 p.m.
Laura Bradford
5:42 p.m.
- Wednesday, November 7, 2012
- Tuesday, November 6, 2012
- Monday, November 5, 2012
- Sunday, November 4, 2012
- Sunday, November 4, 2012
- Thursday, November 1, 2012
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Thursday, November 1, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
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Thursday, November 1, 2012
RKC 111 Anisha Ramrani
3:20 p.m.
Emily Carlson
3:28 p.m.
Ian Barnett
3:44 p.m.
Joseph Foy
3:52 p.m.
Jacqueline Villiers
4:00 p.m.
Will Smith
4:08 p.m.
Abhinanda Bhattacharyya
4:16 p.m.
Nabil Hossain
4:24 p.m.
Jasper Weinrich-Burd
4:32 p.m.
Fiona Do Thi
4:40 p.m.
- Wednesday, October 31, 2012
- Tuesday, October 30, 2012
- Monday, October 29, 2012
- Sunday, October 28, 2012
- Thursday, October 25, 2012
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Thursday, October 25, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, October 24, 2012
- Tuesday, October 23, 2012
- Monday, October 22, 2012
- Sunday, October 21, 2012
- Thursday, October 18, 2012
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Thursday, October 18, 2012
RKC 111 A lecture by
Ruth Haas
Smith College
A proper coloring is an assignment of a color to each vertex of a graph G so that neighboring vertices have different colors. Graph coloring has been a motivating topic for much of graph theory.
Suppose we change the color of just one vertex in a graph coloring. Can we get from one coloring to another by a sequence of vertex changes so that each step along the way is a proper coloring? The answer is of course yes, if we are allowed an unlimited number of colors. What is the fewest colors we can have for this to work?
We introduce a new graph called the coloring graph to analyze this situation. The coloring graph, and similar constructions, can be used to solve problems ranging from counting the possible number of graph colorings to modeling spin configurations in atoms.
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Thursday, October 18, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, October 17, 2012
- Tuesday, October 16, 2012
- Monday, October 15, 2012
- Sunday, October 14, 2012
- Thursday, October 11, 2012
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Thursday, October 11, 2012
Albee 3rd floor common room Mathematics TeaTea and cookies will be served
All mathematics students are welcome!
- Wednesday, October 10, 2012
- Tuesday, October 9, 2012
- Monday, October 8, 2012
- Sunday, October 7, 2012