My research is in discrete mathematics and combinatorics. I have worked on a wide variety of research topics including, the partition function, combinatorial game theory, eigenvalues, random matrix theory, and enumeration. I enjoy problems that involve a computational component in order to gain insight. I typically program in Sage and have had the opportunity to run Sage in parellel on the Palmetto Cluster.
For two summers, I had the opportunity to mentor during a Research Experience for Undergraduates (REU). Both summers I had three undergraduate students and one advanced high school student working as a group.
Brian Bowers, Neil Calkin, Kerry Gannon, Janine E. Janoski, Katie Joes, Anna Kirkpatrick, The Log Con- cavity of the Partition Function, (in preparation)
"The Log-concavity of the Partition Function" Joint Mathematical Meetings, Boston, MA, January 2012
"Maximal Weight Vectors in the Null Space of Matrices with Row and Column Sum 3" 41st Southeastern International Conference on Combinatorics, Graph Theory, and Computation, Florida Atlantic University, March 2010
"Enumeration of k-regular Graphs" Southeast SIAM Student Conference, Georgia Institute of Technology, March 2010
"A recurrence for lexicographically ordered binary matrices" 5th Annual Graduate Student Combinatorics Conference, University of Kentucky, March 2009
"Matrices with Row and Column Sum 2" Palmetto Number Theory Series IX, Clemson University, February 8, 2009
"Matrices with Row and Column Sum 2" 39th Southeastern International Conference on Combinatorics, Graph Theory, and Computation, Florida Atlantic University, March 2008
"A Mathematical Model of Random Packing" Eastern Sectional Meeting of the AMS, University of Delaware, April 2 2005
"A Mathematical Model of Random Packing" Eastern Pennsylvania and Delaware Conference, University of Delaware November 6 2004
"Tiling and Voids in the Aztec Diamond" Third Annual Research Symposium, University of Delaware, August 2005
"Void Spaces in Random Packings" Second Annual Research Symposium, University of Delaware, August 2004