Overview

Welcome to the Number Theory student learning Seminar at Texas A&M University! This seminar aims to cover topics related to Number Theory and is organized by grad students. For this academic year (2024-2025), the organizers are Michalis Lolis and Ozan Acigkoz and the goal is to present topics related to Tate's Thesis, with the presentations mostly relying on the textbook Fourier Analysis on Number Fields. 

The primary goal of the textbook is to show how harmonic analysis on locally compact groups—particularly the adele and idele groups associated to a number field—can be used as a powerful tool in modern analytic number theory. By developing a general Fourier analysis framework, working almost exclusively over arbitrary groups and spaces for the first few chapters, the text unifies and extends classical results to the setting of number fields. This framework is then used to reprove and generalize central theorems such as the analytic continuation and functional equation of zeta and L‑functions (in the spirit of Tate’s thesis).