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

**Preprints**

**Polynomial bounds on torsion from a fixed geometric isogeny class.**Submitted. Copy.**Growth of torsion groups of elliptic curves upon base change from number fields.**Submitted. Copy.

**Accepted and/or Published**

**Typically bounding torsion on elliptic curves isogenous to rational -invariant.**Accepted to*Proc. Amer. Math. Soc.*Copy.**Computational study of non-unitary partitions,**with A. P. Akande, Summer Haag, Maurice D. Hendon, Neelima Pulagam, Robert Schneider and Andrew. V. Sills. Accepted to*J. Ramanujan Math. Soc.*Copy.**Typically bounding torsion on elliptic curves with rational -invariant.***J. Number Theory (2022).*Journal. Copy.**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).*Journal. 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.*Expo. Math. (2021).*Journal. 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).*Journal. Copy.**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).*Journal. Copy.