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

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

  [ PDF | arXiv:0806.0050 | BibTeX ]

• Super-Zeeman embedding models on N-supersymmetric world-lines
  

  [ PDF | arXiv:0803.3434 | BibTeX ]

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

  [ PDF | arXiv:0710.5245 | BibTeX ]

• A counter-example 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 | BibTeX ]

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

  [ PDF | arXiv:hep-th/0605269 | 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 A22 (2007), no. 5, 869-930.
  

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

with Megumi Harada

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

  [ PDF | arXiv:math.SG/0612660 | 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 | 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-extended supersymmetry
  (with Chuck Doran, Mike Faux, Jim Gates, Tristan Hubsch, and Kevin Iga)
  in New Advances in Applied and Computational Mathematics
  eds. F. Liu et al., Nova Science Publishers, Inc., Hauppauge, NY, 2007.
  

  [ PDF | arXiv:0806.0051 | 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

• 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