Interests

My main interests in mathematics lie in number theory and particularly arithmetic geometry, which studies arithmetic by applying insights coming from geometry and topology. Specifically, I am interested in the study of Galois representations (and more broadly representations of the étale fundamental group) arising from geometry, and a broad range of topics with which they often interact, including arithmetic statistics, abelian varieties, Drinfeld modules, rational points, and ramification. Outside my primary interests, I am also interested in machine learning and especially its applications to mathematical research (AI for Math).

Publications

  1. QEDBench: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs
    Joint with Santiago Gonzalez, Alireza Amiri Bavandpour, Peter Ye, Edward Zhang, et al.
    International Conference on Machine Learning (ICML) 2026

Expositions

Here are my (unfinished) notes for various topics

  1. Linear Algebraic Groups
  2. Algebraic Curves and Abelian Varieties
  3. Algebraic Number Theory (coming soon)
  4. Étale Cohomology (coming soon)

Here are my short notes for a few specific topics

  1. Coming soon

Here are my slides for past presentations

  1. Trace of Frobenius

You are welcome to point out any mistakes or typos.