Dr Raz Slutsky

Academic Subject(s): Mathematics and Joint Schools

Research

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.