Research

Prepublications and Publications

1.  L-functions of elliptic curves modulo integers [ArXiv] - Journal of Number Theory. Volume 256, March 2024, Pages 218-252.

(extension of Chapter 3 my thesis)

2. Idempotentization of Schemes and Sheaves [Arxiv] - Submitted [New Version Available upon Request]

Joint work with Cristhian Garay (CIMAT Guanajuato, México)

3. Adelic perturbation of rational functions and applications [ArXiv] - Submitted

Joint work with Dang-Khoa Nguyen (University of Calgary) and Erik Holmes (Currently Postdoctoral Fellow at University of Calgary)

4. Arithmetic rank bounds for abelian varieties over function fields [ArXiv] - Submitted

Joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University)

5. Kummer Theory for Function Fields [ORBilu - Likely Most up to date], [ArXiv]- Submitted

Joint work with Antonella Perucca (Université du Luxembourg)

6. Quadratic Euler-Kronecker Constants in Positive Characteristic

Ongoing joint work with Amir Akbary (University of Lethbridge)

7. A Cohomological Perspective on L-Functions Modulo Integers

(extension of Chapter 4 of my thesis ... in preparation)

8. Variants for the Lang-Trotter Conjecture for Abelian Varieties over Global Fields

Ongoing joint work  with Alexandre Benoist and Antonella Perucca (Université du Luxembourg)