Research Interests

My research interests lie in the intersection of two fields: representation theory and combinatorics. Representation theory classifies the ways an algebraic object (such as a group, algebra, or Lie algebra) can act on a vector space. For groups and algebras related to Lie algebras, combinatorics plays an integral role in both stating and proving theorems about their representations.

Publications

"The Rook Partition Algebra", J. Combin. Theory Ser. A, 113(2), 2006, 325--351.
"A Specht Module Analog for the Rook Monoid," E. J. Comb., 9 (1), 2002, R2.
Brauer Algebras and Centralizer Algebras for $SO(2n, C)$", J. Alg., 222 (1999), 678-707.