Research

Research Interest: Low-dimensional topology, particularly mapping class groups of surfaces.

Publications

1. Split metacyclic actions on surfaces (with N. K. Dhanwani, K. Rajeevsarathy), New York Journal of Mathematics, 28:617–649, 2022.

2. Infinite metacyclic subgroups of mapping class group (with P. Kapari and K. Rajeevsarathy), Groups Geom. Dyn. 19 (2025), no. 1, pp. 281–313.

3. Metacyclic actions on surfaces (with K. Rajeevsarathy), Journal of Topology and Analysis, 2024.

4. Generating the liftable mapping class groups of cyclic covers of spheres (with P. Kapari and K. Rajeevsarathy),  Algebraic and Geometric Topology, 2025.

5. Mapping class groups with the twisted Rokhlin property (with P. Kumar and M. Singh), Proceedings of the Edinburgh Mathematical Society, 2025.

6. Orderability of big mapping class groups (with P. Kumar and M. Singh), accepted in Groups Geom. Dyn., 2026.

Preprints

1. Liftability of periodic mapping classes under alternating covers  (with R. Dey and K. Rajeevsarathy), 2025.

2. Weighted fruit Diophantine equations and hyperelliptic curves ( with J. Mahajan), 2026.

PhD Thesis: Metacyclic actions on surfaces.