Research

Broadly speaking, I am interested in number theory and arithmetic geometry. Look below to find relevant research, talks and conferences I’ve been a part of.

Preprints & Preparation

Typically bounding torsion on elliptic curves with rational $j$ -invariant. In preparation.
Chevalley-Warning at the boundary, with Pete L. Clark and Frederick Saia. In preparation.
Nuclear partitions, with Agbolade Patrick Akande, Summer Haag, Mo Hendon, Neelima Pulagam, Sophia Ramirez and Robert Schneider. In preparation.
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 $X_0(N)$ .

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. A copy may be found here.
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. A copy may be found here.

Talks and Conferences

Some Past Talks:
- At the 2017 Joint Math Meetings at Atlanta, Georgia, I gave a talk on my research concerning the Faltings height of an elliptic curve. (slides)
- For my second REU, I have given several talks at Texas A&M University. (slides)
- For my first REU, I have given talks at the 2015 University of Georgia Mock AMS Conference and at the 2016 Joint Math Meetings at Seattle, Washington. (slides)
Other Events:
- I’ve attended the conference MAAIM (Modular Forms, Arithmetic, and Women in Mathematics), which ran November 1-3, 2019. More details can be found here.
- I’ve attended the inaugural year of the Midwest Arithmetic Geometry and Number Theory Series during October 12-13, 2019. Here is its webpage.
- I’ve attended the AIM workshop on the L-Functions and Modular Forms Database (LMFDB). Here is a link to the workshop.
- I’ve attended both the 2016 and 2018 Connecticut Summer Schools in Number Theory, and the accompanying conferences on modular forms and arithmetic geometry. More information may be found here and here.