Research

Research Interests

I distinguish thin groups from arithmetic groups. In particular I study Zariski dense subgroups of SL(3,ℤ) and work on determining their indices.

Recent Lectures:


  • The Finitely Generated Intersection Property in 3-Manifold Groups


  • Acylindrically Hyperbolic Groups and Naive Permissiveness

    • Rice Topology RTG Seminar; Sept. 2021


  • Divergence in Right Angled Artin Groups

    • Rice Current Mathematics Seminar; April 2021


  • Superrigidity and Arithmeticity

    • Mathematical Sciences Research Institute Random and Arithmetic Structures in Topology - Virtual Semester, Program Associate Seminar; Dec. 2020