I am interested in low-dimensional topology and geometric group theory. My current focus is mapping class groups of infinite type surfaces.
Papers:
A combinatorial proof of the hyperbolicity of the genus 2 separating curve graph, in preparation
Automatic continuity of pure mapping class groups, arxiv:2101.00564. 2023
Thurston's Theorem: Entropy in Dimension One, with G.. Domat, T. Hill, S. Kwak, C. Ospina, P. Patel, R. Rechkin
Mapping class groups of surfaces with noncompact boundary components, arxiv:2101.00564. 2021. To appear in Algebraic and Geometric Topology.
Free products from spinning and rotating families, with M. Bestvina, G. Domat, S. Kwak, P. Patel, and E. Stark, arXiv:2010.10735. 2020. To appear in L'Enseignement Mathematique.
Appendix for Big pure mapping class groups are never perfect, with G. Domat, arXiv:2007.14929. 2020. To appear in Mathematical Research Letters.