Second year Mathematics PhD student at Columbia University
mathematical background
I am currently a second-year PhD student at Columbia University. My main interest lies in Algebraic Number Theory. 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:
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​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
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This paper formed part of my master's thesis at ETH Zurich. I obtained a formula for the orbifold Euler characteristics of universal compactified Jacobians over the moduli space of stable curves, demonstrating that they do not depend on the degree or the universal stability condition used to define the universal Jacobian.
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2. Here are some notes written by Rahul Panharipande on a related project I have been working on with Rahul Pandharipande, Dan Petersen, Johannes Schmitt.
https://people.math.ethz.ch/~rahul/UnivJac.pdf
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We show that the Hodge numbers of universal compactified Jacobians over the moduli space of stable curves do not depend on the degree or the universal stability condition used to define them.
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.
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seminars/conferences
Invited Talks:
Hodge numbers of universal compactified Jacobians: Geometry Group Virginia Commonwealth University October 10 2025
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Hodge numbers of universal compactified Jacobians:: Algebraic geometry and moduli seminar ETH Zurich November 14 2025
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Seminars run:
Abelian Varieties seminar spring semester 2025 Columbia University.​
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Conferences/workshops attended:
Arizona Winter School 2025 - Representations of p-adic Groups
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Masterclass: Proof of the geometric Langlands conjecture August 2025
