INTERESTS: My general area of interest is enumerative combinatorics. In particular, I have studied various kinds of random walks and trees and how to enumerate them using generating functions and combinatorial techniques in a structure called the Riordan group. I am also interested in the discovery and proof of combinatorial identities, especially those involving determinants of combinatorial matrices.

PAPERS:

1. (with K. Killpatrick) $k$-ribbon Fibonacci tableaux, Discrete Mathematics, to appear.
2. (with A. Benjamin, J. Quinn, C. Yerger) Catalan determinants--a combinatorial approach, Proceedings of the International Conferences On Fibonacci Numbers and Their Applications, to appear.
3. (with A. Benjamin, J. Quinn) Fibonacci determinants--a combinatorial approach, Fibonacci Quarterly, 45 (2007), no. 1, 39--55.
4. (with K. Killpatrick) Domino Fibonacci tableaux, Electronic Journal of Combinatorics, 13 (2006), no. 1, Research Paper 45, 29 pp.
5. (with A. Nkwanta) On some (pseudo) involutions in the Riordan group, Journal of Integer Sequences, 8 (2005), no. 3, Article 05.3.7, 16 pp.
6. (with A. Benjamin) Counting on determinants, American Mathematical Monthly, 112 (2005), 481--492.
7. The combinatorics of even trees. Proceedings of the Thirty-first Southeastern International Conference on Combinatorics, Graph Theory and Computing (Boca Raton, FL, 2000).
8. Dissertation: "Random Walks, Trees and Extensions of Riordan Group Techniques," May 2002.