Research papers

In mathematics, authors are ordered alphabetically.

1. Shimura lifts of nearly holomorphic modular forms (with Abby Linscott, Tianyu Ni, and Hui Xue). Submitted, 2025.
   • Link to be posted at a later date.
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 is a selected collection of notes I have written and nicely typeset. Some of these are from coursework or other academic projects, and some of these were written for instruction purposes.

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.
2. Greedy Algorithms, available here.
   • This is one of the supplemental materials I provided students in the algorithms course I served as a teaching assistant for in the Fall 2024 semester with. This served as optional reading to familiarize themselves with greedy algorithms beyond the examples covered in class.