"To think deeply of simple things” — Arnold Ross
During my PhD, my research interests were broadly in low-dimensional topology and group theory. More specifically, I am interested in the algebraic, structural and geometric properties of braid groups, mapping class groups, Coxeter groups, Artin groups, combinatorial group theory, orderable groups, and knot theory.
As a Postdoctoral Fellow, in addition to my PhD research interests, I am also exploring the homotopy theory of (di)graphs and topological data analysis.
Get in touch with me if you want to discuss any aspects of my research!
Congruence subgroups of small Artin and Coxeter groups, arXiv, (2025), 23 pp.
(With N. K. Dhanwani, T. K. Naik and M. Singh), Linear representations, crystallographic quotients, and twisted conjugacy of virtual Artin groups, arXiv (2024), 15 pp.
(with A. Sanghi and M. Singh), Orderability of big mapping class groups, arXiv, (2024), 22 pp.
(With A. Sanghi and M. Singh), Twisted Rokhlin property for mapping class groups, Proceedings of the Edinburgh Mathematical Society (2025), 23 pp.
(With V. G. Bardakov and M. Singh), Brunnian planar braids and simplicial groups, New York Journal of Mathematics 30 (2024), 1235--1263.
(With T. K. Naik, N. Nanda and M. Singh), Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups, Journal of Pure and Applied Algebra 228 (2024),107713, 27 pp.
(with T. K. Naik and M. Singh), Congruence subgroups and crystallographic quotients of small Coxeter groups, Forum Mathematicum 36 (2024), 193-213.