Preprints
- Computing Shapley value in cooperative supermodular games (with David Liben-Nowell, Alexa Sharp, and Tom Wexler), 2011.
Publications (reverse chronological order)
- The price of civil society (with Russell Buehler, Zachary Goldman, David Liben-Nowell, Yuechao Pei, Jamie Quadri, Alexa Sharp, Sam Taggart, and Tom Wexler), Proceedings of the Workshop on Internet & Network Economics (2011), to appear.
- A finite calculus approach to Ehrhart polynomials (with Steven Sam), The Electronic Journal of Combinatorics, 17 (2010), #R68.
- An implementation of the Barvinok-Woods integer projection algorithm (with Matthias Koeppe and Sven Verdoolaege), Proceedings of the International Conference on Information Theory and Statistical Learning (2008), 53-59.
- Maximal periods of (Ehrhart) quasi-polynomials (with Matthias Beck and Steven Sam), Journal of Combinatorial Theory, Series A, 115 (2008), 517-525.
- Counting with rational generating functions (with Sven Verdoolaege), Journal of Symbolic Computation, 43 (2008), 75-91.
- The probability of choosing primitive sets (with Sergi Elizalde), Journal of Number Theory, 125 (2007), 39-49.
- Bounds on the number of inference functions of a graphical model (with Sergi Elizalde), Statistica Sinica, 17 (2007), 1395-1415.
- Parametric alignment of Drosophila genomes (with Colin Dewey, Peter Huggins, Bernd Sturmfels, and Lior Pachter), PLoS Computational Biology 2 (2006), 606-614.
- Computing the period of an Ehrhart quasi-polynomial, The Electronic Journal of Combinatorics,12 (2005), #R34.
- Short rational generating functions and their applications to integer programming (with Ruriko Yoshida), SIAG/OPT Views and News, 16 (2005), 15-19.
- Parametric Sequence Alignment (with Colin Dewey), in Algebraic Statistics for Computational Biology, Lior Pachter and Bernd Sturmfels, eds, Cambridge University Press (2005), 193-205.
- Neighborhood complexes, and generating functions for affine semigroups (with Herbert Scarf), Discrete and Computational Geometry 35 (2006), 385 - 403.
- The minimum period of the Ehrhart quasi-polynomial of a rational polytope (with Tyrrell McAllister), Journal of Combinatorial Theory, Series A, 109 (2005), 345-352.
- Rational Generating Functions and Lattice Point Sets, Ph.D. thesis, University of Michigan (2004).
- Short rational generating functions for lattice point problems (with Alexander Barvinok). Journal of the American Mathematical Society, 16 (2003), 957-979.
Unpublished Manuscripts
- Parametric inference of recombination with an application to HIV-1 circulating recombinant forms (with Niko Beerenwinkel and Colin Dewey), 2006.
Unpublished papers from my college days
- Our winning paper in the Mathematical Contest in Modeling: Groovin’ to the Big Band(width) (with Dan Durand and Jacob Kline). UMAP Journal 21(3), (2000).
- My paper from the REU at Rose-Hulman: Lengths of Systoles on Tileable Hyperbolic Surfaces. Rose Hulman Technical Report Series in Mathematics, MSTR 00-09 (2000).
Expository articles from college
- Mathematical Melodies: The Beauty of Numbers. The Philomathesian, Wake Forest University, 6(2), 8-11 (Spring 2000).
- Art As War: Ruminations on the Aesthetics of Islamic Decoration. The Philomathesian, Wake Forest University, 5, 17-21 (Fall 1998).