Email: shs074 at ucsd dot edu
Office: HSS-5041, UC San Diego
I am a Ph.D. student at the department of mathematics, UC San Diego, working with Prof. Dragos Oprea
. I graduated from IISc
, Indian Institue of Science, with a bachelor's degree in 2017.
Research Area: Algebraic Geometry; combinatorics. In particular, I am interested in curve counting and enumerative invariants.
Euler characteristics of tautological bundles over Quot schemes of curves. (accepted) Advances in Mathematics [arXiv] (2022)
(with Dragos Oprea)
The virtual intersection theory of isotropic Quot Schemes.[arXiv] (2021)
Bergman-Einstein metrics on two-dimensional Stein spaces[arXiv] (2022)
(with Soumya Ganguly)
The size of t-cores and hook lengths of random cells in random partitions. (accepted) Annals of Applied Probability [arXiv] (2019)
(with Arvind Ayyer)
Random t-Cores and Hook Lengths in Random Partitions Sém. Lothar. Combin. 84B (2020) [pdf]
(with Arvind Ayyer)
Driving chemical reactions with polariton condensates. Nature Communications. 1645 (2022)[arXiv]
(with Sindhana Pannir-Sivajothi, Jorge A. Campos-Gonzalez-Angulo, Luis A. Martínez-Martínez, Joel Yuen-Zhou)
Algebraic Geometry Seminar, ICTP (2023) : Tautological bundles over Quot schemes on curves.
Geometry & Topology Seminar, IISc Bangalore (2023) [Link] : The virtual intersection theory of isotropic Quot schemes.
Virginia Tech Algebra Seminar (2022) [Link] : Numerical invariants of Quot schemes on curves.
Western Algebraic Geometry
Symposium (WAGS), UC Riverside (2022)[Link] : Tautological bundles over Quot schemes of curves. (poster)
Warwick, VBAC (2022)[Link] : Tautological bundles over Quot schemes of curves. (poster)
Richmond Geometry festival (2022)[Link] : Tautological bundles over Quot schemes of curves. (poster)
FPSAC 2020 : July 15,2020;[FPSAC] : Random t-cores and hook lengths in random partitions.
IMSc Algebraic Combinatorics Seminar : June 18, 2020;[Link] : Random t-cores and hook lengths in random partitions.
- Olympiad : I was involved in training Indian IMO (International Mathematical Olympiad) team during the years 2014-2017 and 2021.
- Mentoring at UCSD : RTG graduate directed reading for undegraduates, Algebraic curves and Riemann surfaces, Spring 2021.
- Mentoring as UCSD : RTG graduate directed reading for undegraduates, 27 lines on a cubic surface,
You can find the complete list of the courses I have taught here: Link
Math 10B : Summer Session 1, 2022 at UCSD
Math 10B : Summer Session 2, 2021 at UCSD