Interests:
My research interests are in combinatorics with related interests in the areas of number theory,
geometry, computational algebra, and discrete optimization. I also have scholarly interests
in the influence of Euclid's Elements on western society and culture.
Preprints and peerreviewed publications:
The links below may differ ever so slightly from final published versions.

"Divisibility Tests Unified: Stacking the Trimmings for Sums",
June '14, submitted.

"Relaxed complete partitions: an errorcorrecting Bachet's problem",
(with Jorge Bruno), INTEGERS to appear.

"The Refined Lecture Hall Theorem via Abacus Diagrams",
(with Laura Bradford, Meredith Harris, Brant Jones, Alex Komarinski and Carly Matson),
The Ramanujan Journal 34, (2014) 163176. math/1211.3702.

"Bachet's problem: as few weights to weigh them all",
math/1010.5486.
Expository article. Revision in progress.

"On the occurrence of large gaps in small contingency tables", math/0912.0702.

"Ehrhart clutters: regularity and maxflow mincut",
(with José MartínezBernal and Rafael H. Villarreal),
Elec. J. Combinatorics, 17, (2010), R52. math/0902.1354.

"Alternatives for Testing Total Dual Integrality",
(with András Sebő), Mathematical Programming, 132
(2012) 57  78. math/0803.2065.

An earlier, restricted version of "Alternatives for Testing Total Dual Integrality" appeared in
12th International IPCO Conference, Ithaca, NY, USA, June 2527, 2007, Proceedings
Springer Lecture Notes in Computer Science, 4513 (2007) 382  396.

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

"Mpartitions: Optimal partitions of weight for one scale pan",
Discrete Mathematics , 289
(2004) 81  93. math.CO/0311230
Workshops given: