# Research

Broadly speaking, I am interested in number theory and arithmetic geometry.

## Preprints

1. Typically bounding torsion on elliptic curves isogenous to rational $j$-invariant. Submitted. Copy.
2. Computational study of non-unitary partitions, with A. P. Akande, Summer Haag, Maurice D. Hendon, Neelima Pulagam, Robert Schneider and A. V. Sills. Submitted. Copy.

## Accepted and/or Published

1. Typically bounding torsion on elliptic curves with rational $j$-invariant. Accepted to J. Number Theory. Article. Copy.
2. The least degree of a CM point on a modular curve, with Pete L. Clark, Paul Pollack and Frederick Saia. J. Lond. Math. Soc. (2022). Article. Copy.
• Least CM degrees & code. For example, here are 1,000,000 least degrees for CM points on the modular curves $X_0(N)$.
3. Chevalley-Warning at the boundary, with Pete L. Clark and Frederick Saia. Expo. Math. (2021). Article. Copy.
4. Faltings heights of CM elliptic curves and special gamma values, with Adrian Barquero-Sanchez, Lindsay Cadwallader, Olivia Cannon and Riad Masri. Res. Number Theory 3 (2017). Article. Copy.
5. The density of primes dividing a particular non-linear recurrence sequence, with Alexi Block Gorman, Heesu Hwang, Noam Kantor, Sarah Parsons and Jeremy Rouse. Acta Arith. 175 (2016).  Article. Copy.

Here is my github.