My research focus is computational number theory and arithmetic geometry. I am especially interested in studying arithmetic properties of curves and finding rational points on them. In particular, I study triangular modular curves, which are generalizations of modular curves, and I work on explicit Chabauty methods to find rational points on curves.

Articles

Here is a list of my preprints.

Geometric quadratic Chabauty and p-adic heights (with Sachi Hashimoto and Pim Spelier). Submitted.

Triangular modular curves of low genus (with John Voight). Accepted to Res. Number Theory.

Other

Here is my master's thesis, Rational points of low degree on Fermat curves through the Jacobian variety.

Here is my undergraduate thesis, Modular forms with applications to quadratic forms (Spanish).