Arithmetic GroupsRepresentation TheoryDynamicsGeometric Group Theory
Scholarship and Biography
I study Zariski dense subgroups of algebraic groups, including arithmetic groups and thin groups. I study them from several perspectives and am also interested in their applications. Much of my research has to do with connections between number theory, geometry, and group theory, in particular in topics such as Diophantine geometry, expander graphs and Ramanujan graphs, and strong approximation for algebraic groups. A fundamental tool in my research is the dynamical viewpoint.