Research
My research lies in the intersection of geometric group theory and low-dimensional topology, centered around surfaces and their mapping class groups. I especially enjoy doing effective mathematics, i.e. math with explicit constructions, constants, and parameters. I've recently become interested in hyperbolic 3-manfiolds and infinite-type surfaces. If you like thinking about any of these things, feel free to reach out!
Papers
Effective Generation of Right-Angled Artin Groups in Mapping Class Groups (in Geom. Ded.)
Effective Convex Cocompactness in Mapping Class Groups via Right-Angled Artin Groups (In Preparation)
Projects
Big Pseudo-Anosov Mapping Classes (joint with George Domat and Yassin Chandran) In Progress
Effective Schottky Groups in Right-Angled Artin Groups (joint with Rylee Lyman and MurphyKate Montee) In Progress
Parabolic Geometric Finiteness in Mapping Class Groups via Quasi-Convexity in Teichmuller Space (joint with Spencer Dowdall) In Progress