RESEARCH INTERESTS

My work is primarily in geometric group theory and low-dimensional topology. More specifically, I study group actions on non-positively curved spaces, quasi-isometric classification/rigidity, Coxeter groups, group boundaries, cube complexes, relatively hyperbolic groups and RAAGs. I have also worked on problems in geometric combinatorics.

PUBLICATIONS/PREPRINTS

• Counting lattices in products of trees ,
  with Nir Lazarovich and Alex Margolis
  Commentarii Mathematici Helvetici (to appear)


• Non-quasiconvex subgroups of hyperbolic groups via Stallings-like techniques ,
  with Pallavi Dani
  Transactions of the AMS (to appear)


• Planar lattice subsets with minimal vertex boundary ,
  with Radhika Gupta, Alexander Margolis and Emily Stark
  Electronic Journal of Combinatorics, Volume 28, Issue 3, 2021


• Characterizing divergence and thickness in right-angled Coxeter groups ,
  Journal of Topology (to appear)


• Right-angled Artin subgroups of right-angled Coxeter and Artin groups ,
  with Pallavi Dani,
  Algebraic & Geometric Topology (to appear)


• Subgroups of right-angled Coxeter groups via Stallings-like techniques ,
  with Pallavi Dani,
  Journal of Combinatorial Algebra, Vol. 5, Issue 3, 237–295, 2021


• Comparing the Roller and B(X) boundaries of CAT(0) cube complexes ,
  Israel Journal of Mathematics, Vol. 242, Issue 1, 129–170, 2021


• Thick groups have trivial Floyd boundary ,
  Proceedings of the American Mathematical Society, Vol 148, Issue 2, 513–521, 2020


• A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups ,
  Groups, Geometry and Dynamics, Vol 13, Issue 1, 349–378, 2019


• Divergence of CAT(0) cube complexes and Coxeter groups ,
  Algebraic & Geometric Topology, Vol 18, 1633–1673, 2018