My area of research is geometric group theory, the study of groups through their actions on topological metric spaces.  Some topics of my favorite topics are groups of non-positive curvature (CAT(0) groups, hyperbolic and relatively hyperbolic groups), braid groups, Artin groups, and Coxeter groups. 

I am on sabbatical for the 2009-10 academic year, visiting the Forschungsinstitut fur Mathematik in Zurich, Switzerland.