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.
Papers
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)
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The size of t-cores and hook lengths of random cells in random partitions. (accepted) Annals of Applied Probability [arXiv] (2019)
(with Arvind Ayyer)
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Random t-Cores and Hook Lengths in Random Partitions Sém. Lothar. Combin. 84B (2020) [pdf]
(with Arvind Ayyer)
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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)