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 .

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:
  • 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.