Research Interests
My research is in geometric group theory and low-dimensional topology. Most recently I have been studying the algebraic and geometric properties of big mapping class groups.
Publications and Preprints
- Graphs of curves and arcs quasi-isometric to big mapping class groups
preprint, to appear in Groups, Geometry, and Dynamics
- Automorphisms of the loop and arc graph of an infinite-type surface
Proceedings of the American Mathematical Society, Series B (open access)
- A matrix model for random nilpotent groups
International Mathematics Research Notices
with Kelly Delp and Tullia Dymarz