معرفی
Abbey Bourdon is an Associate Professor in the Department of Mathematics at Wake Forest University, part of the College of Arts and Sciences. Her research lies at the intersection of number theory and arithmetic geometry, with a focus on CM elliptic curves, torsion points, modular curves, and Galois representations. She is supported by the National Science Foundation and actively contributes to the mathematical community through publications and conference presentations.
- Ph.D., Wesleyan University (2014), advised by Chris Rasmussen
- Postdoctoral Associate, University of Georgia, working with Pete L. Clark
Her research investigates deep structural properties of elliptic curves with complex multiplication, particularly their torsion behavior over number fields of varying degrees. She explores connections between modular curves and isolated rational points, often leveraging computational tools like Magma and PARI/GP. Her work contributes to the classification of exceptional points on modular curves and the understanding of uniform bounds in arithmetic geometry.
The most recent articles show a sustained focus on torsion in CM elliptic curves, isolated points on modular curves, and Galois-theoretic implications. Her publications span top journals such as Mathematical Research Letters, Transactions of the AMS, and Mathematics of Computation, reflecting both theoretical depth and computational rigor.
Abbey Bourdon has not received or listed any scientific awards in the provided texts.
She advises and collaborates with various researchers in the field, though formal graduate students are not explicitly named. Her work is supported by the National Science Foundation, indicating active grant funding. She has presented at prestigious research venues such as the Banff International Research Station (BIRS), including the 2022 workshop on Modern Breakthroughs in Diophantine Problems.
She is involved in collaborative research teams, particularly with mathematicians like Pete L. Clark, Paul Pollack, Filip Najman, and others. Her recent preprints suggest ongoing projects in classifying isolated j-invariants and exploring torsion in geometric isogeny classes.
