# Past Research

Mathematics has been my research area since I realized that you could do research in mathematics. I am considered to be a pure mathematician (which means I study math for the math alone), but that term has started to fall out of use. Regardless of my day job, I will always have room for some mathematical research. You can find more information on my past projects below.

### Projects

Masters Thesis: Minimal Zero Sum Sequences of Maximal Length

Advisor: Vadim Ponomarenko

Factorization in Integral Matrix Semigroups

Reasearch Experience for Undergraduates and Teachers 2008, SDSU

Advisor: Vadim Ponomarenko

Rank of Generator Matrices of Cyclic Codes (with Ryan Rosenbaum)

Advisor: Roxanna Smarandache

### Publications

Number Theory of Matrix Semigroups (with R. Ardila, N. Baeth, D. Hannasch, A. Kosh, H. McCarthy, V. Ponomarenko, R. Rosenbaum) Journal of Linear Algebra and its Applications (434) 2011, 694--711.

Distinct Solution to a Linear Congruence (with V. Ponomarenko) Involve 3 (3) 2010, 341--344.

Bifurcus Semigroups and Rings (with R. Ardila, D. Hannasch, A. Kosh, H. McCarthy, V. Ponomarenko, R. Rosenbaum) Involve 2 (3) 2009, 351--356.