I am a Limited Term Assistant Professor at the University of Georgia. I earned my Ph.D. in 2024 from Penn State, under the advisement of Professor Kirsten Eisenträger. My research interests are in arithmetic geometry and applications to isogeny-based cryptography. You can reach me at gabrielle.scullard@uga.edu.

Publications

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II , with John Cullinan, Shanna Dobson, Linda Frey, Asimina Hamakiotes, Roberto Hernandez, Nathan Kaplan, Jorge Mello. submitted to Journal of Number Theory.

Papers - Preprints

Computing endomorphism rings of supersingular elliptic curves using higher-dimensional isogenies - with Kirsten Eisenträger. submitted.

Talks

Computing endomorphism rings of supersingular elliptic curves - Penn State Algebra and Number Theory Seminar, October 3, 2023

Horizontal isogenies and applications to OSIDH - MathCrypt, August 19, 2023

The probability of nonisomorphic group structures of isogenous elliptic curves over finite fields - Upstate New York Number Theory Conference, April 1, 2023

The probability of nonisomorphic group structures of isogenous elliptic curves over finite fields - Penn State Algebra and Number Theory Seminar, April 20, 2023

Courses I taught at Penn State:

Math 21: College Algebra - Fall 2019, Spring 2020, Fall 2020, Spring 2021

Math 140: Calculus With Analytic Geometry I - Spring 2024

Courses I taught at University of Georgia:

Math 2250: Calculus 1 for Science and Engineering - Fall 2024, Fall 2025

Math 2260: Calculus 2 for Science and Engineering - Spring 2025

Courses I taught at Canada/USA Mathcamp: I had the honor to be a mentor at Canada/USA Mathcamp and taught there in 2019 (in Portland, OR) and 2021 (virtually). Below are some courses I have taught.

2019: Intro to Number Theory, Group Theory and Rubik's Cubes, How Not to Prove Fermat's Last Theorem, Unique and Nonunique Factorization

2021 (remote): A Combinatorial Proof of the Jacobi Triple Product Identity, Quadratic Forms, Nonunique Factorization in the Chicken McNugget Monoid