## Number Theory Preliminary Practice – Cruz Castillo

In this talk, I will be giving a brief overview of two current research projects……

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# Graduate Number Theory Seminar

## Number Theory Preliminary Practice – Cruz Castillo

## Arithmetic Polygons and Sums of Consecutive Integers – Amy Woodall

## Partition like asymptotics of some quiver superconformal index – Zishen Qu

## What the Hecke! – Ken Willyard

## Holomorphic Quantum Unique Ergodicitiy and Weak subconvexity for L-functions – Ploy Wattanawanichkul

## An Exposition of p-adic Analysis toward Dwork’s Theorem – Alex Song

## Probability and Number Theory: Some connections – Jaya Manthripragada

## Some Remarks on Landau-Siegel Zeros – Debmalya Basak

## Modular Forms and Their L-Functions – Cruz Castillo

## Herbrand-Ribet Theorem – Ken Willyard

University of Illinois Urbana-Champaign

In this talk, I will be giving a brief overview of two current research projects……

In this talk, we introduce and study a notion of arithmetic polygons. We will then……

A well-known result on partitions is the asymptotic expression given by Hardy and Ramanujan in……

As the title suggests, we will give a brief introduction to the works of the……

The holomorphic Quantum Unique Ergodicity (QUE) is a phenomenon where the probability measures associated to……

I will first give an exposition of Dwork’s Theorem about zeta functions on varieties over……

We are going to start by looking at how Probabilistic Number Theory originated, by looking……

In the first part of the talk, I will survey some known results related to……

We will discuss what a Modular form is on the full Modular group and their……

The Herband-Ribet Theorem is an important result in Number Theory that describes a connection between……