Research
Research Interests
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.
Conferences
- 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
- 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