I am broadly Interested in Low Dimension Topology, till now my works are in following areas.
Mapping class groups of surfaces.
Racks and quandles.
A list of my published works.
(With D. Saraf and M. Singh), Residual finiteness of fundamental n-quandle of links, Bulletin of the London Mathematical Society, 57(10):3133-3150, 2025.
(With M. Singh) Finiteness of canonical quotients of Dehn quandles of surfaces, Journal of the Australian Mathematical Society, 118:317–334, 2025.
(with S. Dey, H. Patil, and K. Rajeevsarathy) Generating the liftable mapping class groups of regular cyclic covers, Mathematical Proceedings of the Cambridge Philosophical Society, 178(2):157-176, 2025.
(With H. Raundal and M. Singh) Dehn quandles of groups and orientable surfaces, Fundamenta Mathematicae, 263(2):167-201, 2023.
(With H. Raundal and M. Singh) Presentations of Dehn quandles, Journal of Algebra, 636:207-247, 2023.
(With A. K. Nair, and K. Rajeevsarathy) Factoring periodic maps into Dehn twists, Journal of Pure and Applied Algebra, 227(1):33 pp, 2023.
(With K. Rajeevsarathy and A. Sanghi) Split metacyclic actions on surfaces, New York Journal of Mathematics, 28:617-649, 2022.
(With N. Agarwal, S. Dey, and K. Rajeevsarathy) Liftable mapping class groups of regular cyclic covers, Houston Journal of Mathematics, 47(1):223-243, 2021.
(With K. Rajeevsarathy) Commuting conjugates of finite order mapping classes, Geometriae Dedicata, 209:69–93, 2020.
A list of my submitted works.
(With M. Singh, P. Kumar and T. K. Naik), Linearity, crystallographic quotients, and automorphisms of virtual Artin groups, arXiv:2409.10270, 2024.
(With P. Kapari, K. Rajeevsarathy, and R. Tomar) Liftable mapping classes of regular abelian covers,
arXiv:2412.07319, 2024.