Research Interests

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.

Publications

- Brian Bowers, Neil Calkin, Kerry Gannon, Janine E. Janoski, Katie Joes, Anna Kirkpatrick, The Log Con- cavity of the Partition Function, (in preparation)
- Neil Calkin, Kevin James, Janine E. Janoski, Sarah Leggett, Bryce Richards, Stephanie Thomas, Computing Strategies for Graphical Nim, Congressus Numeratntium. 202 (2010): 171-186
- Janine E. Janoski, Neil Calkin, Matrices with Row and Column sum 2, Congressus Numerantium. 192, (2008): 19-32

Presentations

- "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