I am primarily interested in geometric group theory and low dimensional topology. In particular, my work has emphasis on Coxeter groups, CAT(0) cube complexes and quasi-isometric classification/rigidity of groups. I am also interested in related topics such as hierarchically hyperbolic spaces, hyperbolic geometry, 3-manifolds and relatively hyperbolic groups.

__Divergence of CAT(0) cube complexes and Coxeter groups__,

*Algebraic & Geometric Topology*, Vol 18 (2018) 1633-1673__A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups__,*Groups, Geometry and Dynamics*, Vol 13, Issue 1 (2019) 349--378__Thick groups have trivial Floyd boundary__,*arXiv: 1811.12694*, Submitted

I wrote Python code that can compute some quasi-isometry invariants of right-angled Coxeter groups.

The code can be downloaded here: racg_algorithms.py.

Here is an iPython notebook demonstrating how the code is used and here is the source code for the notebook.