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

The least degree of a CM point on a modular curve, with P. L. Clark, P. Pollack and F. 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 A. Barquero-Sanchez, L. Cadwallader, O. Cannon and R. 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 A. Block Gorman, H. Hwang, N. Kantor, S. Parsons and J. Rouse.
- Accepted to Acta Arithmetica. A copy may be found here.

Talks and Conferences

Some Past Talks:
- During the 2019 “Mock AMS Conference” at UGA, I gave a short talk on why $e^{\pi\sqrt{163}}$ is almost an integer. (slides)
- 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.