Research
I am interested in the fields of Geometric Topology and Geometric Group Theory. More specifically, I study Out(Fn) and Mapping Class Groups, both of finite-type and infinite-type surfaces.
Research:
Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs, with H. Hoganson and S. Kwak, arXiv:2309.07885, 2023 (Submitted).
Multitwists in big mapping class goups, with F. Fanoni and S. Hensel, arXiv:2301.08780, 2023 (Submitted).
Isomorphisms and commensurability of surface Houghton groups, with J. Aramayona and C. Leininger, arXiv:2312.15330, 2023 (Accepted to Journal of Group Theory).
Thurston's theorem: Entropy in dimension one, with R. Dickmann, T. Hill, S. Kwak, C. Ospina, P. Patel, R. Rechkin, arxiv:2209.15102, 2022 (Accepted to Mathematical Research Letters).
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.
Previous Work:
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: