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 -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 .

**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.

- Accepted to
**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.

- Accepted to

**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 (
**M**odular Forms,**A**rithmetic,**a**nd Women**i**n**M**athematics), 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.

- I’ve attended the conference MAAIM (