I am a postdoctoral fellow at the International Centre for Theoretical Physics in Trieste, Italy. My mentor is Prof. Alina Marian. I received my Ph.D. from the department of mathematics at the University of California San Diego in June 2023. My advisor was Prof. Dragos Oprea.

Here is my CV.

**Research Area:** Enumerative Geometry; Algebraic Combinatorics. In particular, I am interested in curve counting and enumerative invariants.

### Preprint

**Quantum K-Invariants via Quot schemes I**(with Ming Zhang)

### Papers

**Euler characteristics of tautological bundles over Quot schemes of curves.***Advances in Mathematics 418 (2023)*(with Dragos Oprea)**The virtual intersection theory of isotropic Quot Schemes.***Journal of Geometry and Physics 198 (2024)***Cores of partitions in rectangles.***Electronic Journal of Combinatorics 31(1) (2024)*(with Arvind Ayyer)**Bergman-Einstein metrics on two-dimensional Stein spaces.***To appear in Michigan Mathematical Journal*(with Soumya Ganguly)**The size of t-cores and hook lengths of random cells in random partitions.***The Annals of Applied Probability 33 (2022)*(with Arvind Ayyer)**Random t-Cores and Hook Lengths in Random Partitions.***Sém. Lothar. Combin. 84B (2020)*(with Arvind Ayyer)**Driving chemical reactions with polariton condensates.***Nature Communications 1645 (2022)*(with Sindhana Pannir-Sivajothi, Jorge A. Campos-Gonzalez-Angulo, Luis A. Martínez-Martínez, Joel Yuen-Zhou)**Numerical invariants of Quot schemes of curves .***Ph.D. Thesis (2023)*

### Research Presentations

**Moduli stacks and enumerative geometry (VBAC), Isaac Newton Institute, Cambridge**(2024) : Quantum K-invariants via Quot schemes. video, slides**Virginia Tech Algebra Seminar**(2024) : Quantum K-invariants via Quot scheme.**Algebraic Geometry Seminar, IISER Pune**(2024) : Quantum K-invariants of Grassmannians via Quot scheme.**Algebraic Geometry Seminar, ICTP**(2023) : Quantum K-invariants of Grassmannians via Quot scheme.**Categorical methods in moduli theory, University of Pennsylvania**(2023) : Schur bundles over Quot schemes of P^1 (slides).**Algebraic Geometry Seminar, ICTP**(2023) : Tautological bundles over Quot schemes on curves (slides).**Geometry & Topology Seminar, IISc Bangalore**(2023) : The virtual intersection theory of isotropic Quot schemes.**Virginia Tech Algebra Seminar**(2022) : Numerical invariants of Quot schemes on curves.**Western Algebraic Geometry Symposium (WAGS), UC Riverside**(2022) : Tautological bundles over Quot schemes of curves (poster).**University of Warwick, VBAC**(2022) : Tautological bundles over Quot schemes of curves (poster).**Richmond Geometry festival**(2022) : Tautological bundles over Quot schemes of curves (poster).**FPSAC 2020**: Random t-cores and hook lengths in random partitions (video, slides).**IMSc Algebraic Combinatorics Seminar**(2020) : Random t-cores and hook lengths in random partitions.

### Mentoring Activity

- Olympiad: I was involved in training the Indian IMO (International Mathematical Olympiad) team during the years 2014-2017 and 2021.
- Mentoring at UCSD: RTG graduate directed reading for undergraduates, Algebraic curves and Riemann surfaces, Spring 2021.
- Mentoring at UCSD: RTG graduate directed reading for undergraduates, 27 lines on a cubic surface, Spring 2020.