I primarily think about surfaces and the objects associated to them such as: mapping class groups, Teichmüller spaces, and curve graphs.
A Bers type classification of big mapping classes (with A. Basmajian), 2024. Submitted.
Covers of surfaces (with I. Biringer, T. Cremaschi, J. Tao, N. Vlamis, M. Wang, and B. Whitfield), 2024. Submitted.
Density of modular groups (with T. Cremaschi), 2024. Submitted.
Automorphisms of the k-curve graph (with S. Agrawal, T. Aougab, M. Loving, J. R. Oakley, R. Shapiro, and X. Yang) Appeared in Michigan Math Journal.
Open problem list on infinite-type surfaces (with P. Patel and N. Vlamis (last updated on 10/22/21).