Research

Research Interest: Low-dimensional topology, mapping class groups and Dehn quandles of surfaces, and geometric group theory.

Publications

1. Generating the liftable mapping class groups of cyclic covers of spheres (with Kashyap Rajeevsarathy and Apeksha Sanghi). Algebraic and Geometric Topology, 2025.

2. Infinite metacyclic subgroups of the mapping class group (with Kashyap Rajeevsarathy and Apeksha Sanghi). Groups, Geometry, and Dynamics, 2025.

3. General primitivity in the mapping class group (with Kashyap Rajeevsarathy). Journal of Topology and Analysis, 2025.

Preprints

1. Baumslag-Solitar subgroups of the mapping class group (with Dev Krishna and Kashyap Rajeevsarathy), 2026.

2. Dehn quandles of surfaces and their bounded cohomology (with Deepanshi Saraf and Mahender Singh), 2026.

3. Liftable mapping class groups of certain branched covers of the torus, 2025.

4. Liftable mapping class groups of regular abelian covers (with Neeraj K. Dhanwani, Kashyap Rajeevsarathy, and Ravi Tomar), 2024.

PhD Thesis: Primitivity of mapping classes and infinite metacyclic subgroups of mapping class groups