Department of Mathematics
University of Chicago
I am currently an NSF postdoc at the University of Chicago. Previously I was at Columbia, and before that I was a graduate student at Stanford. My advisor was Akshay Venkatesh (now here).
Crystalline Cohomology (organized with Shizhang Li)
A density result for real hyperelliptic curves (appeared in Comptes rendus). I have recently learned that Andrey Bogatyrev proved this result some years ago. See Theorem 5 and Lemma 1 of this paper (Effective computation of Chebyshev polynomials for several intervals, 1999, Sbornik: Mathematics, vol. 190, no. 11).
Diophantine problems and the p-adic Torelli map (draft, with Akshay Venkatesh)
Analysis in R^n, regular track: an introduction to metric spaces. Handouts, quizzes, and exams from Winter 2019.
Various expository notes I wrote during my time at Stanford.
Here are some notes from an introductory talk on schemes.
Here are some notes on polynomials on lattices.
Fibonacci Numbers mod p (Stanford SUMO talk, Apr. 10, 2014)
Introduction to Heights (Arithmetic Dynamics talk, Apr. 29, 2014)
In 2013-2014 I ran Stanford's Student Algebraic Geometry Seminar.