# Research

I am interested in geometric group theory, CAT(0) and hyperbolic geometry, and low-dimensional topology. In my thesis I study outer automorphisms of free products of finite groups. They have natural connections to outer automorphisms of free groups, free-by-cyclic groups, right-angled Coxeter groups and braid groups. I am interested in exploring all of these connections, as well as studying the deformation theory of geometric group actions of the above groups on CAT(0) metric spaces.

## Publications and Preprints

• Train Tracks, Orbigraphs and CAT(0) Free-By-Cyclic Groups
Submitted. Available at: arXiv:1909.03097

• Doubly-Uniform Exponential Growth for Free-By-Cyclic Groups
(with Robert Kropholler and Thomas Ng)
In preparation.

• Out$(F_\infty)$ and Big Mapping Class Groups
(with Santana Afton)
In preparation.

## Other Manuscripts

Here are slides from a recent talk titled Train Tracks, Orbigraphs and CAT(0) Free-by-cyclic Groups.

## Upcoming Travel

This fall I have spoken at the Temple Geometry and Topology Seminar, the SUNY Albany Algebra/Topology Seminar, and at an AMS Special Session on Effective and Quantitative Advances in Low Dimensional Topology and Geometric Group Theory.

In the spring I will speak at an AMS Special Session on Combinatorial Methods in Geometric Group Theory.