Biography
Pravin Kumar is a Postdoctoral Fellow at the Beijing Institute of Mathematical Sciences and Applications (BIMSA), China. He completed his Ph.D. in June 2025 at the Department of Mathematical Sciences, Indian Institute of Science Education and Research Mohali (IISER Mohali), where he was a Prime Minister’s Research Fellow (PMRF), under the supervision of Prof. Mahender Singh.
His research interests are broadly on (low-dimensional) topology and (geometric) group theory, with a particular focus on the braid groups, knot theory, mapping class groups, Artin and Coxeter groups, and combinatorial group theory. He is also interested in the homotopy theory of (di)graphs and its applications to topological data analysis. As a Postdoctoral Fellow, he continues to explore these topics while broadening his research into the homotopy theory of (di)graphs.
His research interests are broadly on (low-dimensional) topology and (geometric) group theory, with a particular focus on the braid groups, knot theory, mapping class groups, Artin and Coxeter groups, and combinatorial group theory. He is also interested in the homotopy theory of (di)graphs and its applications to topological data analysis. As a Postdoctoral Fellow, he continues to explore these topics while broadening his research into the homotopy theory of (di)graphs.
Education Experience
- 2021 - 2025 | Indian Institute of Science Education and Research (IISER), Mohali | Mathematics | Ph.D
- 2019 - 2021 | Indian Institute of Science Education and Research (IISER), Mohali | Mathematics | Master
- 2016 - 2019 | Guru Nanak College (Autonomous), Chennai | Mathematics | B.Sc.
Work Experience
- 2025 - -- | BIMSA | Postdoc
Publication
- [1] P Kumar, TK Naik, M Singh, Congruence subgroups and crystallographic quotients of small Coxeter groups, Forum Mathematicum, 36(1), 193-213 (2024)
- [2] P Kumar, TK Naik, N Nanda, M Singh, Commutator subgroups and crystallographic quotients of virtual extensions of symmetric groups, Journal of Pure and Applied Algebra, 228(11), 107713 (2024)
- [3] VG Bardakov, P Kumar, M Singh, Brunnian planar braids and simplicial groups, New York Journal of Mathematics, 30, 1235-1263 (2024)
- [4] P Kumar, A Sanghi, M Singh, Twisted Rokhlin property for mapping class groups, accepted by Proceedings of the Edinburgh Mathematical Society, 23pp (2025)
- [5] P Kumar, A Sanghi, M Singh, Orderability of big mapping class groups, arXiv (2024)
- [6] NK Dhanwani, P Kumar, TK Naik, M Singh, Linear representations, crystallographic quotients, and twisted conjugacy of virtual Artin groups, arXiv (2024)
- [7] Pravin Kumar, Congruence subgroups of small Artin and Coxeter groups (2025)
Update Time: 2026-06-19 18:00:10