My interests broadly lie in the field of low-dimensional geometry and topology.
Hyperbolic Cone Surfaces, i.e., surfaces formed by pasting hyperbolic geodesic triangles and their holonomies.
Mapping Class Group action on Relative Character Varieties of Punctured Surface Groups.
Infinite type surfaces and their Mapping Class Groups.
I have also been contributing to the open source project, LeanAide, which aims to develop a tool to aid in autoformalisation: translating Mathematics in natural language to Lean, an interactive theorem proving language.
Conferences
Lean for the Curious Mathematician at ICTS Bangalore, Bengaluru, India. Apr 2025
New Trends in Teichmüller theory at ICTS Bangalore, Bengaluru, India. Feb 2025
Lean Together 2025, Online, Jan 2025.
Geometry in Groups at ICTS Bangalore, Bengaluru, India. July - Aug 2024.
Low Dimensional Topology at IISER Pune, Pune, India. Sept 2023
1,2,3: Curves, Surfaces and 3-Manifolds at Technion - Israel Institute of Technology,Haifa, Israel. May 2023
Ergodic theory and Dynamical Systems at ICTS Bangalore, Bengaluru, India. Dec 2022
Talks
The Goldman bracket characterises the homeomorphisms between non-compact surfaces (Video), World of GroupCraft IV , Sep 2024.
When is a homotopy equivalence of a surface homotopic to a homeomorphism?, In House Student-PostDoc Symposium, IISc Bangalore. Apr 2024.
On three theorems of Surface homeomorphisms, Prime Time Seminars, IISc Bangalore. Jan 2023
On three theorems of Surface homeomorphisms (Video), IISER Bhopal Geometry and Topology Seminars. Nov 2022
Conformal bijections, Biholomorphisms and Hyperbolic Isometries, Prime Time Seminars, IISc Bangalore. Nov 2021
