Research

I am interested generally in actions of groups on manifolds, and the rigidity phenomena that may arise. A popular instance of this is the Zimmer Programme, which aims to classify that possible actions that lattices in higher rank semisimple groups can have on manifolds, using tools and techniques from algebra, geometry, and dynamics.

Occasionally I am also interested in studying group algebras and their analytic and cohomological properties.

Publications

1. (In preparation) - Zimmer's conjecture for lattices in semisimple and S-arithmetic groups.
2. Continuum-many discontinuous actions of $\operatorname{SL}_{n+1}(\mathbb{Q})$ on manifolds - Preprint, arXiv, 2026.
3. Actions of lattices in p-adic and S-arithmetic groups on manifolds - Preprint, arXiv, 2026.
4. (with L. Becker, S. Elliott, B. Firester, M. Pnueli, V. Rom-Kedar) - Impact Hamiltonian systems and polygonal billiards (arXiv)
   to appear in the Proceedings of the MSRI 2018 Fall semester on Hamiltonian Systems

This work was done in part during the 2018 ISSI in the Weizmann Institute of Science.