I am interested most in the interplay of geometry, dynamical systems and Lie theory. In particular, my thesis was on rigidity phenomena for actions of lattice subgroups of semisimple Lie groups on compact smooth manifolds. (This is part of the Zimmer Program.) Lately, I have done some work with students in combinatorics on m-ary partition functions. As a post-doctoral instructor I also worked on a mathematical biology project.
If you are a student interested in pursuing mathematics research, please look over the list of student projects I have supervised.