My name is Tsachik (Yizhaq) Gelander. I am a professor in the Department of Mathematics at the Weizmann Institute of Science.
My research interests include: Lie groups and topological groups, symmetric spaces and Hadamard manifolds, lattices and discrete subgroups of Lie groups as well as general locally compact groups. I'm interested in the study of topological and analytic invariants of locally symmetric manifolds and arithmetic groups. The developing theory of invariant random subgroups has proven to be useful in the study of asymptotic invariants of these. More generally, considering (non-invariant) random subgroups is a new approach to study certain properties of general discrete subgroups of Lie groups, and in particular manifolds of infinite volume.