Restricted Lie algebra representations and cohomology

Khovanov link cohomology

Applications of group theory to discrete mathematics

Algebraic (finite) cellular automata

Publications

On the restricted Lie algebra structure of the
Witt Lie algebra in finite characteristic (with
D. Fuchs), Funct. Anal. Appl., Vol. 36, No.
2, pp. 140-144, April-June, 2002.

Deriving Divisibility Theorems with Burnside's
Theorem (with B. Holt), Integers: Elec. J. Comb. No. Thy., Vol. 5(1), #A26, 2005.

On some generalizations of Fermat's, Lucas's and
Wilson's theorems, Ars Combinatoria, Vol. 79:189-194, April 2006 .

Graph Adjacency Matrix Automata (with J. Abbott, P. Chinn and A.J. Stewart), Congressus Numerantium, 188 (2007), pp. 143-149.

Discovering binomial identities with PascGaolisJE. To appear in PRIMUS.

A complex for the cohomology of restricted Lie
algebras (with D. Fuchs). To appear in The Journal of Fixed Point Theorey.

In Preparation

Pre-Algebra Connections with the Chinese Remainder Theorem (with
E. Burroughs).

Group valued finite cellular automata.

PhD (Mathematics), University of California, Davis,
September 2000. (Under the direction of D. B. Fuchs)

MS (Mathematics), University of Oregon, June 1996.

BA (Mathematics) Sonoma State University, May 1994.