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, accepted in Bulletin of the London Mathematical Society (2025), 18 pp.
(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.