Second year Mathematics PhD student at Columbia University
mathematical background
I am currently a second-year PhD student at Columbia University, advised by Michael Harris. My main interest lies in Algebraic Number Theory, particularly in ideas related to the Langlands Program. I also enjoy its connection with Algebraic Geometry and Representation Theory.
I obtained my undergraduate degree in Mathematics at the University of Cambridge and my master's degree at ETH Zürich (ranked top of the year). My master's thesis was on Euler characteristics of moduli spaces and was supervised by Rahul Pandharipande and Johannes Schmitt.
Research
1. Orbifold Euler Characteristics of Compactified Universal Jacobians:
Arxiv version (2024): https://arxiv.org/pdf/2402.19368
Journal version (2025), Mathematical Proceedings of the Cambridge Philosophical Society: https://doi.org/10.1017/S0305004125000180
2.Universal compactified Jacobians: cohomological invariance and boundary combinatorics
(with Rahul Pandharipande, Johannes Schmitt, Dan Petersen)
Arxiv version (2026): https://arxiv.org/abs/2604.18377
3. I am also working on generalizing the Selberg trace formula in a specialized setting to a field of positive characteristic. (In progress)
notes
Report on Iwasawa Theory
This report was part of my course work for a class on Algebraic Number Theory I took in my first year at Columbia. Since the class was focused on Class Field Theory, there is an emphasis on its importance in this report.
seminars/conferences
Invited Talks:
Hodge numbers of universal compactified Jacobians: Geometry Group Virginia Commonwealth University October 10 2025
Hodge numbers of universal compactified Jacobians:: Algebraic geometry and moduli seminar ETH Zurich November 14 2025
Seminars run:
Abelian Varieties seminar spring semester 2025 Columbia University.
Conferences/workshops attended:
Arizona Winter School 2025 - Representations of p-adic Groups
Masterclass: Proof of the geometric Langlands conjecture August 2025
