Research

My interests are in geometric combinatorics, combinatorial and computational commutative algebra, and discrete optimization. My work in these areas, thus far, has focused on the interactions between triangulations of vector configurations, Gröbner bases/initial ideals of toric ideals, and linear and integer programming. I enjoy experimenting with computational algebra packages like Macaulay 2 to gain insight on various problems.

I completed my PhD thesis in June 2006 under the direction of Professor Rekha Thomas at the University of Washington. I am currently a visiting assistant professor in the Discrete Mathematics group at the University of Kentucky. My PhD thesis, "Toric algebra and the weak perfect graph theorem", can be found here. My papers to date are:

Characterizations of total dual integrality, (with András Sebö), preliminary version to appear in IPCO 2007 proceedings, Springer Lecture Notes in Computer Science.

Toric initial ideals of $\Delta$-normal configurations: Cohen-Macaulayness and degree bounds , (with Rekha Thomas), Journal of Algebraic Combinatorics , 21 (2005) 247 - 268. math.AC/0308109.

M-partitions: Optimal partitions of weight for one scale pan , Discrete Mathematics , 289 (2004) 81 - 93. math.CO/0311230

The above links differ ever so slightly from the final published versions.