My research interests include combinatorics, convex geometry, metric geometry, and the intersection of mathematics with election outcomes.

Students:   I would love to talk with you about research project ideas in plane colorings, discrete isoperimetric inequalities, and the mathematics of gerrymandering. I'd also love to talk with you about your research interests!


Brunn-Minkowski Theory and Cauchy's Surface Area Formula with E. Tsukerman. The American Mathematical Monthly, Vol. 124, No. 10 ( 2017), pp. 922-929

A General Method to Determine Limiting Optimal Shapes for Edge-Isoperimetric Inequalities with E. TsukermanThe Electronic Journal of Combinatorics 24(1) (2017), #P1.26

On Coloring Box Graphs with E. Hogan, J.O'Rourke, and C.Traub.  Discrete Mathematics, Vol 338, Issue 2 (2015), p 209-216

Vertex Isoperimetric Inequalities for a Family of Graphs on Z^k with A.J. Radcliffe.  The Electronic Journal of Combinatorics 19(2) (2012), #P45

Spaces of Small Metric Cotype, with K. Wildrick. Journal of Topology and Analysis Vol.2 Issue 4 (2010), p. 581-597

A Positive Semidefinite Approximation of the Traveling Salesman Polytope Discrete and Computational Geometry 38 (2007), p. 15-28

The Computational Complexity of Convex Bodies, with Alexander Barvinok, Surveys on Discrete and Computational Geometry, Contemporary Mathematics 453 (2008) p. 117-137

An Efficient Approximation of the Traveling Salesman Polytope Using Lifting Methods, unpublished, but available on the arxiv:

My doctoral dissertation, entitled "The Computational Complexity of Convex Bodies."