with Chuck Doran, Mike Faux, Jim Gates, Tristan Hubsch, Kevin Iga, and Robert Miller

• Spin Holography via Dimensional Enhancement
  Physics Letters B, to appear.
  

  [ PDF | arXiv:0907.4543 [hep-th] | BibTeX ]

• Dimensional Enhancement via Supersymmetry
  

  [ PDF | arXiv:0907.3605 [hep-th] | BibTeX ]

• A Superfield for Every Dash-Chromotopology
  International Journal of Modern Physics A, to appear.
  

  [ PDF | arXiv:0901.4970 [hep-th] | BibTeX ]

• Adinkras for Clifford Algebras, and Worldline Supermultiplets
  

  [ PDF | arXiv:0811.3410 [hep-th] | BibTeX ]

• Frames for supersymmetry
  International Journal of Modern Physics A 24 (2009), no. 14, 2665-2676.
  

  [ PDF | arXiv:0809.5279 [hep-th] | BibTeX ]

• Topology types of Adinkras and the corresponding representations of N-extended supersymmetry
  

  [ PDF | arXiv:0806.0050 [hep-th] | BibTeX ]

• Super-Zeeman embedding models on N-supersymmetric world-lines
  Journal of Physics A: Mathematical and Theoretical 42 (2009) 065402.
  

  [ PDF | arXiv:0803.3434 [hep-th] | BibTeX ]

• On the matter of N=2 matter
  Physics Letters B 659 (2008), 441-446.
  

  [ PDF | arXiv:0710.5245 [hep-th] | MR2381194 | BibTeX ]

• Counter-examples to a putative classification of 1-dimensional, N-extended supermultiplets
  Advanced Studies in Theoretical Physics 2 (2008), no. 3, 99-111.
  

  [ PDF | arXiv:hep-th/0611060 | MR2416689 | BibTeX | talk notes ]

• Adinkras and the dynamics of superspace prepotentials
  Advanced Studies in Theoretical Physics 2 (2008), no. 3, 113-164.
  

  [ PDF | arXiv:hep-th/0605269 | MR2416690 | BibTeX ]

• Off-shell supersymmetry and filtered Clifford supermodules
  

  [ PDF | arXiv:math-ph/0603012 | BibTeX | talk slides ]

• On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields
  International Journal of Modern Physics A 22 (2007), no. 5, 869-930.
  

  [ PDF | arXiv:math-ph/0512016 | MR2311874 | BibTeX ]

with Megumi Harada

• Divided differences and the Weyl character formula in equivariant K-theory
  (also with Reyer Sjamaar)
  

  [ PDF | arXiv:0906.1629 [math.KT] | BibTeX | talk slides ]

• The K-theory of abelian symplectic quotients
  Mathematical Research Letters 15 (2008), no. 1, 57-72.
  

  [ PDF | arXiv:math.SG/0612660 | MR2367174 | BibTeX ]

• The K-theory of abelian versus nonabelian symplectic quotients
  

  [ PDF | arXiv:math.SG/0601294 | BibTeX ]

• Surjectivity for Hamiltonian G-spaces in K-theory
  Transactions of the AMS 359 (2007), 6001-6025.
  

  [ PDF | arXiv:math.SG/0503609 | MR2336314 | BibTeX | talk slides ]

Individually Authored

• Singular instantons with SO(3) symmetry
  

  [ PDF | arXiv:math.DG/0503611 | BibTeX ]

• Twisted representation rings and Dirac induction
  Journal of Pure and Applied Algebra 206 (2006), no. 1-2, 21-54.
  

  [ PDF | arXiv:math.RT/0403524 | MR2220079 | BibTeX ]

• Representation rings of Lie superalgebras
  K-Theory 36 (2005), no. 1-2, 115-168.
  

  [ PDF | arXiv:math.RT/0403203 | MR2274161 | BibTeX ]

• Multiplets of representations and Kostant's Dirac operator for equal rank loop groups
  Duke Mathematical Journal 110 (2001), no. 1, 121-160.
  

  [ PDF | arXiv:math.RT/0005057 | MR1861090 | BibTeX ]

• Harmonic spinors on homogeneous spaces
  Representation Theory 4 (2000), 466-473.
  

  [ PDF | arXiv:math.DG/0005056 | MR1780719 | BibTeX ]

• String theory for mathematicians
  Notes from lectures given at Microsoft Research in 1999-2000.

• Dirac operators on loop spaces
  Harvard University Ph.D. thesis, advisor: Cliff Taubes
  

• The heat equation and the Atiyah-Singer index theorem
  Cambridge University Part III Essay
  

• K-theory and elliptic operators
  Princeton University undergraduate thesis
  

  [ PDF | arXiv:math.AT/0504555 | BibTeX ]

Conference Proceedings

• Relating doubly-even error-correcting codes, graphs, and irreducible representations of N-supersymmetry
  (with Chuck Doran, Mike Faux, Jim Gates, Tristan Hubsch, and Kevin Iga)
  in Discrete and computational mathematics, 53-71,
  Nova Science Publishers, Inc., New York, 2008.
  

  [ PDF | arXiv:0806.0051 [hep-th] | MR2407611 | BibTeX ]

• Construction of twisted K-theory classes from positive energy representations
  Talk 14 in Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory
  Oberwolfach Reports 46/2006, 2788-2791.
  

  [ PDF | talk slides ]

• The topology of hyperkahler quotients (with Megumi Harada and Graeme Wilkin)
  BIRS Workshop Report 06rit317, August 19-26, 2006.
  

  [ PDF | Webpage ]

• Off-shell supersymmetry via graph theory and superspace (with Chuck Doran)
  BIRS Workshop Report 06frg313, July 22-29, 2006.
  

  [ PDF | Webpage]

Mathematical Reviews

• Unitary spaces on Clifford algebras
  by N. G. Marchuk and D. S. Shirokov

• On the twisted K-homology of simple Lie groups
  by Christopher L. Douglas

• Principal series representations and harmonic spinors
  by S. Mehdi and R. Zierau

• Holonomies of intersecting branes
  by Jussi Kalkkinen

• Twisted K theory invariants
  by Jouko Mickelsson

• Twisted K-theory
  by Michael Atiyah and Graeme Segal

• Integral conjugacy classes of compact Lie groups
  by Stephan Mohrdieck and Robert Wendt

• On algebraic properties of bicomplex and hyperbolic numbers
  by D. Rochon and M. Shapiro