Ploy Wattanawanichkul – A Metric Approach to Zero Free Regions for L-Functions
For positive integers m,m’, let π and π’ be cuspidal automorphic representations of GL(m) and……
Author: Clayton Williams
PhD Student in mathematics at UIUC.
https://www.clay-williams.me
Clayton Williams – The Kohnen-Zagier Formula
One of the most famous results in the theory of modular forms is the Shimura……
Abhishek Jha – Probabilistic Distribution of Primes
In today’s talk, I will discuss the distribution of primes when analysed from a probabilistic……
Xuerui Yang (Irving) – An Improvement on Gauss’ Circle Problem and Dirichlet’s Divisor Problem
In the talk, I will explain the general philosophy of deriving a pointwise estimate of……
Debmalya Basak – On the Möbius Function in Short Intervals.
In this talk, we will explore the behavior of the Möbius function over short intervals…….
Reciprocity Theorems via Algebraic K-Theory – Hui Langwen
Algebraic K-theory is a categorical construction that interacts in profound ways with arithmetic, algebraic geometry……
Non-Vanishing of L Functions – Debmalya Basak
The non-vanishing of L-functions at the central point s = 1/2 is a fundamental problem……
An Expository Talk on Iwasawa Theory – Khaled Albattal
Iwasawa theory emerged from the foundational work by Kenkichi Iwasawa in the 1950s and 1960s,……
Arithmetic Moduli of Elliptic Curves – Lin Fengyuan
In this talk, we delve into the arithmetic moduli problem for elliptic curves, aiming to……
Number Theory Preliminary Practice – Cruz Castillo
In this talk, I will be giving a brief overview of two current research projects……