Dr Raz Slutsky
I am a mathematician studying lattices in Lie groups.
A group is an algebraic structure that describes the symmetries of certain objects. The specific groups I study play a crucial role in understanding geometric structures known as locally symmetric spaces, with hyperbolic manifolds being a key example. These groups are also fundamental in many areas of physics and chemistry due to their role in describing symmetries and conservation laws. They possess a rich structure that can be studied through various mathematical tools, including geometry, number theory, topology, and dynamics.
In my research, I develop and apply techniques from geometry, number theory, and, most recently, operator algebras to investigate lattices and the geometric objects they correspond to.
View my papers at my personal website.
1. A Quantitative Selberg's Lemma, Joint with Tsachik Gelander (2024). To appear in Groups, Geometry, and Dynamics.
2. The Space of Traces of the Free Group and Free Products of Matrix Algebras, Joint with Joav Orovitz and Itamar Vigdorovich (2023). (Submitted).
3. Spectral gap and character limits in arithmetic groups, Joint with Arie Levit and Itamar Vigdorovich (2023). (Submitted)
4. On the Asymptotic Number of Generators of High Rank Arithmetic Lattices, Joint with Alex Lubotzky (2022), Michigan Math. J. (Special volume in honour of G. Prasad).
5. On the Minimal Size of a Generating Set of Lattices in Lie groups, (2020), Journal of Lie Theory. Joint with Tsachik Gelander.
6. Linear Variational Principle for Riemann Mappings and Discrete Conformality (2019), Proceedings of the National Academy of Sciences, Joint with N. Dim and Y. Lipman.
