Research papers

In mathematics, convention states that authors are ordered alphabetically.

1. Shimura lifts of nearly holomorphic modular forms (with Abby Linscott, Tianyu Ni, and Hui Xue). Submitted, 2025.
   • link (PDF)
2. Pointwise ergodic theorems along fractional powers of primes (with Erik Bahnson, Leonidas Daskalakis, and Abbas Dohadwala). Int. Math. Res. Not. IMRN, 2025(15).
   • arXiv:2412.07055

Expository papers and notes

Here are notes I have written in the past.

1. Notes on the Prime Number Theorem, available here.
   • This expository paper was constructed from notes taken during my directed reading program I did in the spring 2024 semester, mentored by PhD student Nicholas Backes. It provides a summary of what I read on the prime number theorem, primarily from Complex Analysis by Stein and Shakarchi, that semester.