I am interested in the fields of Geometric Topology, Geometric Group Theory, and Topological Dynamics. More specifically, I study Out(Fn) and Mapping Class Groups, both of finite-type and infinite-type surfaces.
The infinite dimensional geometry of conjugation invariant generating sets, with with S. Chu, C. Gao, A. Prasanna, and A. Wright, arxiv:2506.18618, 2025 (Submitted).
Classification of stable surfaces with respect to automatic continuity, with M. Bestvina and K. Rafi, arXiv:2411.12927, 2024 (Submitted).
Graphical models for topological groups: A case study on countable Stone spaces, with B. Branman, H. Hoganson, and R. A. Lyman, Bulletin of the London Mathematical Society, 2025.
Generating sets and algebraic properties of pure mapping class groups of infinite graphs, with H. Hoganson and S. Kwak, arXiv:2309.07885, 2023 (Accepted to Annales Henri Lebesgue).
Multitwists in big mapping class goups, with F. Fanoni and S. Hensel, arXiv:2301.08780, 2023 (Accepted to Algebraic and Geometric Topology).
Thurston's theorem: Entropy in dimension one, with R. Dickmann, T. Hill, S. Kwak, C. Ospina, P. Patel, R. Rechkin, Mathematical Research Letters, Volume 31, Number 1, 127-174, 2024.
Isomorphisms and commensurability of surface Houghton groups, with J. Aramayona and C. Leininger, J. Group Theory 27, 1129–1141, 2024.
Coarse geometry of pure mapping class groups of infinite graphs (arXiv, Journal), with H. Hoganson and S. Kwak, Advances in Mathematics, Volume 413, 108836, 2023.
Free products from spinning and rotating families, with M. Bestvina, R. Dickmann, S. Kwak, P. Patel, and E. Stark, Enseign. Math. 69 (2023), no. 3/4, pp. 235–260.
The automorphism group of the infinite rank free group is coarsely bounded, with H. Hoganson and S. Kwak, New York Journal of Math, 28:1506-1511, 2022.
Big pure mapping class groups are never perfect, appendix with R. Dickmann, Mathematical Research Letters, Volume 29, Number 3, 691-726, 2022.
First cohomology of pure mapping class groups of big genus one and zero surfaces, with P. Plummer, New York Journal of Math, 26:322–333, 2020.
During my undergraduate career I participated in a series of research projects with the Tufts University Department of Economics and the International Labour Organization's Better Work program. This work culminated in my collaboration on two discussion papers: