STUDENT RESEARCH

Mathematics Students with Senior Project Titles
1990 to Present

2009

• Scott McMillen: The Indescribable Awesomeness of Vertex Colorings
• Mona Merling: A Structure Theorem for Plesken Lie Algebras over Finite Fields
• Nicholas Michaud: A Three-Element Generating Set for Thompson's Group F
• Sylvia Naples: Classification of Adinkra Graphs
• Anh Pham: The Effect of Income Inequality and Residential Segregation on Infectious Diseases Transmission (joint with Economics)
• Tomasz Przytycki: A Generalization of Restricted n-Rotors from Knots to Graphs
• Serena Randolph: Making Music Visible: The Mathematics behind Chladni Patterns
• Faqir Usman: Using Graphs to Model the Spread and Containment of Fire
• Ezra Winston: Modeling Origami Folding with Thick Paper
• Tina Zhang: Cops and Robbers
• Dexin Zhou: All About Risk
• Zhechao Zhou: Analysis of Heterogeneous Patterns and Social Dynamics in Human Communication (joint with Physics)

2008

• Zachary Hamaker: Clifford Algebra Representations
• Andrija Perunicic: Group Structure of Elliptic Curves over Finite Fields
• Shelley Stahl: Flag h-Vectors of Distributive Lattices

2007

• Robert Feinsinger: Enumerating Lattice Paths that Avoid Forbidden Patterns
• Jordan Volz:

2006

• Michael Knight: Primus: Patterns Primes Produce Plugged into the Expanding Product of a Particular Polynomial
• Benjamin Rin: The Model Theory of Topoi
• Kenneth Ober: Topological Logics

2005

• David Eisenstadter: Perfect Coloring of Periodic Patterns with Translation Groups
• Alina Marinova: Robots' Motion on a Graph: Configuration Spaces for a 2-Robot System
• Janeta Marinova: Closure Operators on Lattices and Boolean Algebras
• Mariana Raykova: Sequential Dynamical Systems

2004

• Rubaba Ali: Application of Grobner Bases to the M-Color Problem for Graphs
• Catherine Belin: Chip-Firing Games
• Kerri-Ann Norton: The Game of Life on a Torus
• Benjamin Rubenstein: Voronoi Tessellations
• Kathryn Smith: Arrays, Rook Circuits, and Mininal Hamiltonian Graphs

2003

• Monica Elkinton: Manipulating Voting Systems: Can We Get There from Hare?
• Elena Grigorescu: Hilbert Series and Free Resolutions
• Jill Patterson: Male of Female? The Application of Fuzzy Logic to Simulate a Bard Student's Decision-Making Process When Determining an Individual's Sex?

2002

• Imran Ahmed: Does the Out Degree of a Vertex Double When an Oriented Graph is Squared?
• Sean Callanan: Combining Isometric Subgraphs of Hypercubes
• Tim Goldberg: Combinatorial Laplacians of Simplicial Complexes
• Lava Yadav: Chromatic Number of Competition Graphs of Top Split Graphs
• Jaren Smith: Hilbert Sequences of Monomial Ideals

2001

• Luke Nickerson:

2000

• Erin Boyer: Forbidden Subgraphs for Edge Domination
• Shankar Gopalakrishnan: Cutting out the Junk: Breaking up Surfaces with Isolated Singularities
• Maren Holmen: SET Theory

1999

• Josh Foure: Speed III : Stop that Bus
• Corina Tanasa: Geodesics Types of Singular Surfaces

1998

• Nathan Ryan: Characterising low dimensional simplicial complexes or playing with kids' toys

1997

• Brant Jones: Conducting a Tabu Search on the Graph Coloring Problem
• Esteban Rubens: Partially ordered sets, generalized fences and dimension
• Rodney Waldhoff: The matching model for routing permutations on graphs
• Brandon Weber: Uniform approximation of continuous functions using artificial neural networks

1996

• Marissa K. Bernstein: Traversability problems in graph theory
• Dan C. Carroll: Smooth surfaces for computer aided geometric design
• He Jiang: Transformations of regular polygons
• Van Anh Nguyen: A binomial model for option pricing
• Joshua Richman: Three is the loneliest number
• Kathryn Ryan: Error-detecting codes via group theory

1995

• Jason Foulkes: Set Product vs. Coset Product
• Nil Ozel: List, and list T-Coloring results for 2-chromatic graphs
• Diego Socolinsky: On the curvature of polyhedra

1994

• Robert Cutler: Edge Domination of G x Qn
• Weili Wu: The classification of discrete patterns, monohedral tilings and some thoughts about k-anisohedral tiles

1993

• Matthew Lee: Counting the subgroups of the dihedral groups : a numerical theoretic approach to abstract algebra
• Thomas Regner: The significance of neural networks for artificial intelligence

1992

• Jeffrey Bolden: Dimension and planarity in partial ordered sets
• Melissa Cahoon: A Graphic analysis of the hare voting system
• David Steinberg: Real and complex etheral calculus : or, playing around with these numbers and seeing what works
• Anne Willig: Three-colorings of cyclic groups

1990

• Jade Bingham: Efficient orientations of city street graphs
• Linda Burgess: Stress Analysis of Axisymmetric Shells
• Laura Muller: Symmetry groups, perfect colorings, and compound designs : staying within the (guide) lines