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 -invariant.**Preprint.**The least degree of a CM point on a modular curve,**with Pete L. Clark, Paul Pollack and Frederick Saia. Preprint.- Least CM degrees & code. For example, here are 1,000,000 least degrees for CM points on the modular curves .

**Nuclear partitions,**with Agbolade Patrick Akande, Summer Haag, Mo Hendon, Neelima Pulagam, Sophia Ramirez and Robert Schneider. In preparation.

**Publications**

**Chevalley-Warning at the boundary****,**with Pete L. Clark and Frederick Saia. To appear in Expo. Math. Copy.

**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 Arithmetica. Article.