Research

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.

Publications

The Burau Representation and Shapes of Polyehdra, arXiv:2210.06561. To appear in Algebraic and Geometric Topology.
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.