Research

Broadly speaking, I am interested in number theory and arithmetic geometry. Look below to find relevant papers that I’ve worked on.

Preprints & Preparation

  • Typically bounding torsion on elliptic curves with rational j-invariant, preprint.
  • Chevalley-Warning at the boundary, with Pete L. Clark and Frederick Saia, preprint.
  • The least degree of a CM point on a modular curve, with Pete L. Clark, Paul Pollack and Frederick Saia.
  • Nuclear partitions, with Agbolade Patrick Akande, Summer Haag, Mo Hendon, Neelima Pulagam, Sophia Ramirez and Robert Schneider. In preparation.

Publications

  • Faltings heights of CM elliptic curves and special gamma values, with Adrian Barquero-Sanchez, Lindsay Cadwallader, Olivia Cannon and Riad Masri.
    • Accepted to Research in Number Theory. Article.
  • The density of primes dividing a particular non-linear recurrence sequence, with Alexi Block Gorman, Heesu Hwang, Noam Kantor, Sarah Parsons and Jeremy Rouse.
    • Accepted to Acta ArithmeticaArticle.