Research
Prepublications and Publications
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)
Tropicalization of Schemes and Sheaves [Arxiv] - Submitted
Joint work with Cristhian Garay (CIMAT Guanajuato, México)
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)
Joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University)
A Cohomological Perspective on L-Functions Modulo Integers
(extension of Chapter 4 of my thesis ... in preparation)
Cyclotomic-Kummer extensions of function fields
Joint work in preparation with Antonella Perucca (University of Luxembourg)
Upcoming talks in 2024
Talks in 2024
Date: February 29, 1:45 PM Mountain Daylight Time (MDT)
Conference/Seminar: Lethbridge Number Theory and Combinatorics Seminar [Hybrid]
Organizers: Félix Baril Boudreau and Ertan Elma
Title of The Talk: The Distribution of Logarithmic Derivatives of Quadratic L-functions in Positive Characteristic
This is on an ongoing joint work with Amir Akbary (University of Lethbridge).
Date: March 5, 4:00-5:30 PM Eastern Daylight Time (EDT)
Conference/Seminar: Ottawa/Carleton Number Theory Seminar [Hybrid]
Organizers: Nathan Grieve, Antonio Lei and Erman Isik
Title of The Talk: The Distribution of Logarithmic Derivatives of Quadratic L-functions in Positive Characteristic
This is on an ongoing joint work with Amir Akbary (University of Lethbridge).
Talks in 2023
Date: January 27, 2:00PM Mountain Time
Conference/Seminar: Algebra and Number Theory Seminars at Université Laval [Online]
Organizers: Hugo Chapdelaine, Michael Lau, Katharina Mueller, Jiacheng Xia
Title of the Talk : Fonctions L de courbes elliptiques en caractéristique positive (Partie I: Rationalité et algorithme de Schoof) [Français]
Date: March 1, 09:30AM Pacific Time
Conference/Seminar : Emergent Research: The PIMS Postdoctoral Fellow Seminar [Online]
Title of the Talk : L-Functions of Elliptic Curves Modulo Integers
Date: March 6, 2:00PM Mountain Time
Conference/Seminar : Calgary Algebra & Number Theory Seminar 2022-2023 [In-Person]
Title of the Talk : L-Functions and Arithmetic Ranks of Elliptic Curves over Function Fields
Date: April 1, 2023
Conference/Seminar: Alberta Number Theory Days XIV [In-Person]
Title of the Talk: Arithmetic Rank Bounds for Abelian Varieties
This is on an ongoing joint work with Aaron Levin (Michigan State University) and Jean Gillibert (Université de Toulouse).
Date: April 11, 2023
Conference/Seminar: Algebra and Number Theory Seminars at Université Laval [Online]
Organizers: Hugo Chapdelaine, Michael Lau, Katharina Mueller, Jiacheng Xia
Title of the Talk : L-Functions of Elliptic Curves in Positive Characteristic (Part II : Studying L-Functions of Elliptic Curves over Functions Fields via their Reduction Modulo Integers)
Date: June 3, 2023, 5:00PM Eastern Time
Conference/Seminar: Special Session in Number Theory in Celebration of the 70th Birthday of Ram Murty
Part of : 2023 CMS Summer Meeting / Réunion d'été 2023 de la SMC (University of Ottawa | Université d'Ottawa)
Title of the Talk: Arithmetic Rank Bounds for Abelian Varieties
This is on an ongoing joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University).
Organizers: Kumar Murty (Universiy of Toronto and Fields Institute) and Gary Walsh (Tute Institute for Mathematics and Computing and University of Ottawa)
Date: November 14, 10:00AM, Eastern Time
Conference/Seminar: Waterloo Number Theory Seminar [In Person]
Title of the Talk: Arithmetic rank bounds for abelian varieties over function fields
This is on the submitted joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University).
Date : December 2
Conference/Seminar: Number Theory by early career researchers
Part of: 2023 CMS Winter Meeting / Réunion d'hiver 2023 de la SMC (DoubleTree by Hilton Montreal)
Organizers: Payman Eskandari (University of Winnipeg) and Samprit Ghosh (University of Calgary)
Title of the Talk: Value-Distribution of Logarithmic Derivatives of Real Quadratic Dirichlet L-functions over the Projective Line
This is ongoing joint work with Amir Akbary (University of Lethbridge).
Date : December 7
Conference/Seminar: Monodromy and Its Applications - Conference on the Occasion of Nicholas Katz' 80th Birthday [In Person]
Organizers: Lillian Pierce (Duke University), Peter Sarnak (Princeton University), Will Sawin (Columbia University), Pham Huu Tiep (Rutgers University)
Title of the Talk: Arithmetic rank bounds for abelian varieties over function fields
Note: Lightning talk (12 minutes)
This is about the submitted joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University).
Date : December 20
Conference/Seminar: Number Theory Seminar - Univeristy of Copenhagen [Online]
Organizer: Jasmin Matz
Title of the Talk: Arithmetic rank bounds for abelian varieties over function fields
This is about the submitted joint work with Jean Gillibert (Université de Toulouse) and Aaron Levin (Michigan State University).