My research interests broadly center around low-dimensional topology and geometric group theory.
More recently I have worked on projects concerned with representations of braid groups, moduli spaces, arithmetic groups, and hyperbolic geometry.
For short, I usually say that I enjoy "any math that comes with a good picture". At right is a random selection of pictures that I have produced in my own mathematical investigations, some about my own work and some about work of others.
The Burau Representation and Shapes of Polyehdra. Algebraic and Geometric Topology. 24(5), 2787–2805. doi:10.2140/agt.2024.24.2787.
With A. Peterson, On Uniform Large-Scale Volume Growth for the Carnot-Caratheodory Metric on Unbounded Model Hypersurfaces in C^2, Involve, 11(1), 103–118, 2018. doi:10.2140/involve.2018.11.103.