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.
preprints/publications
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
This paper formed part of my master's thesis at ETH Zurich.
​
Here are some notes written by Rahul Panharipande on a related project I have been working on with Rahul Pandharipande, Dan Petersen, Johannes Schmitt.
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:
The Geometry Group VCU October 10
​
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
