Rylan Gajek-Leonard Visiting Assistant Professor Department of Mathematics Union College 807 Union St Schenectady NY 12308 Office: Bailey Hall 108B e-mail:  gajekler@union.edu

Research interests

I am interested in algebraic number theory and arithmetic geometry. My current research is in the Iwasawa theory of elliptic curves and modular forms. I am especially interested in understanding the behavior of p-adic L-functions attached to nonordinary modular forms.

Publications and Preprints

1. Entanglement of elliptic curves upon base extension,
   With T. Day. Submitted, 2024.


2. On a conjecture of Mazur predicting the growth of Mordell—Weil ranks in Zp-extensions,
   With J. Hatley, D. Kundu, and A. Lei. Submitted, 2024.


3. On the discriminants of truncated logarithmic polynomials
   With J. Cullinan. Submitted, 2023.


4. On the Iwasawa invariants of nonordinary modular forms
   Preprint, 2023.


5. On the Newton polygons of Kaneko-Zagier lifts of supersingular polynomials,
   
With J. Cullinan. Research in Number Theory, 2:34 (2016).

Teaching

I am currently a visiting assistant professor at Union College in Schenectady, NY. One of my main goals in the classroom is creating an inclusive space where students of all backgrounds can think deeply and creatively about mathematics.

Other

I also play the cello.