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

**Preprints and Publications**

**Typically bounding torsion on elliptic curves with rational -invariant.**Accepted to*J. Number Theory.*Copy.**The least degree of a CM point on a modular curve,**with Pete L. Clark, Paul Pollack and Frederick Saia. Accepted to*J. Lond. Math. Soc.*Copy.- Least CM degrees & code. For example, here are 1,000,000 least degrees for CM points on the modular curves .

**Chevalley-Warning at the boundary****,**with Pete L. Clark and Frederick Saia. Accepted to*Expo. Math*. Copy.**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.**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.**Nuclear partitions,**with Agbolade Patrick Akande, Summer Haag, Mo Hendon, Neelima Pulagam, Sophia Ramirez and Robert Schneider. In preparation.

My github.