Research

I am interested in geometric structures on manifolds and discrete subgroups of Lie groups, along with their connections to geometric group theory. Specifically, I am interested in investigating the relationship between the coarse geometry of hyperbolic groups and their geometry and dynamics at infinity when represented as a discrete subgroup of a Lie group. These relationships present themselves strongly in the classical setting of convex cocompact and geometrically finite subgroups of the isometry group of hyperbolic space, and has led to generalizations to higher rank such as Anosov representations. Studying Anosov representations of hyperbolic groups is a major focus of my current research.