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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Arithmetic Polygons and Sums of Consecutive Integers – Amy Woodall

Abstracts
April 1, 2024
by Clayton Williams

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

Partition like asymptotics of some quiver superconformal index – Zishen Qu

Abstracts
March 26, 2024
by Clayton Williams

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

What the Hecke! – Ken Willyard

Abstracts
March 18, 2024
by Clayton Williams

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

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

Abstracts
March 5, 2024
by Clayton Williams

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

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

Abstracts
February 26, 2024February 26, 2024
by Clayton Williams

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

Probability and Number Theory: Some connections – Jaya Manthripragada

Abstracts
February 19, 2024February 26, 2024
by Clayton Williams

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

Some Remarks on Landau-Siegel Zeros – Debmalya Basak

Abstracts
February 13, 2024February 16, 2024
by Clayton Williams

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

Modular Forms and Their L-Functions – Cruz Castillo

Abstracts
February 6, 2024
by Clayton Williams

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

Herbrand-Ribet Theorem – Ken Willyard

Abstracts
January 31, 2024January 31, 2024
by Clayton Williams

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

Spring 2024 Calendar Now Live

Updates
January 24, 2024
by Clayton Williams

Welcome back! We’re looking forward to another excellent semester of number theory. If you’re scheduled……

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Mathematics is the queen of the sciences and number theory is the queen of mathematics.

Carl Friedrich Gauss

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algebraic number theory (7) analytic number theory (28) congruences (5) elliptic curves (4) geometry (4) L-functions (13) modular forms (17) notes (5) p-adic analysis (5) partitions (5)

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