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 work on explicit Chabauty methods to find rational points on curves and I study triangular modular curves, which are generalizations of modular curves.

Articles

  1. On invariants of Artin-Schreier curves (with Heidi Goodson, Elisa Lorenzo García, Beth Malmskog, and Renate Scheidler). Submitted.
  2. Local heights on hyperelliptic curves and quadratic Chabauty (with Alexander Betts, Sachi Hashimoto, and Pim Spelier). Submitted.
  3. The classifying element for quotients of Fermat curves (with Rachel Pries). Submitted.
  4. A database of basic numerical invariants of Hilbert modular surfaces (with Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam Schiavone, and John Voight). Contemp. Math., vol. 796, 2024, Amer. Math. Soc., Providence, RI, 285-312.
  5. Geometric quadratic Chabauty and p-adic heights (with Sachi Hashimoto and Pim Spelier). Expo. Math. 41 (2023), no. 3, 43 pages.
  6. Triangular modular curves of low genus (with John Voight). Res. Number Theory. 9:3 (2023), 26 pages.

Other

Here is my PhD thesis, Triangular modular curves of low genus and geometric quadratic Chabauty.

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