Nichlos Russoniello: algebraic combinatorics, with a specific focus on a category of Lie algebras called "seaweeds."
Eric Swartz: application of group theory to finite structures, such as graphs and finite geometries, and problems related to the combinatorics of finite groups.
Stephen Trefethen: Character Theory and Representation Theory of Finite Groups.
Ryan Vinroot: combinatorial reprensentation theory.
