Research

Currently I am interested in the Zimmer Programme, namely classifying the possible actions that (high rank) lattices can have on manifolds.

I am also interested in compactifications of character varieties and their dynamical properties.

Sporadically I look at noncommutative real algebraic geometry (typically for group algebras), and at applications of o-minimality to Diophantine Approximation and Geometric Group Theory.

Publications

• Impact Hamiltonian systems and polygonal billiards (with L. Becker, S. Elliott, B. Firester, M. Pnueli, V. Rom-Kedar) (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.