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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Probability and Number Theory: Some connections – Jaya Manthripragada

Abstracts
February 19, 2024February 26, 2024
by sendit

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 sendit

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 sendit

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 sendit

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 sendit

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

Elliptic Curves Over Complex Numbers – Alex Song

Abstracts
November 13, 2023November 17, 2023
by sendit

I will introduce elliptic curves over and state some results about elliptic curves with complex……

New Feature: Notes From Talks

Updates
November 9, 2023
by sendit

Great news! We’re starting to add notes from the talk to some of the abstracts……

Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul

Abstracts
November 1, 2023November 9, 2023
by sendit

Quantum Unique Ergodicity (QUE) is a phenomenon where the probability density associated to any density……

Shimura Reciprocity Law and Some Computations of Class Field Invariants – Khaled Albattal

Abstracts
October 30, 2023October 30, 2023
by sendit

Shimura reciprocity law was first explicitly used by Shimura in his book “Introduction to the……

Cohen-Lenstra Heuristics – Ken Willyard

Abstracts
October 20, 2023
by sendit

The Cohen-Lenstra heuristics provide conjectures on the distribution of Class groups of quadratic number fields…….

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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 (4) analytic number theory (18) congruences (4) elliptic curves (2) geometry (4) L-functions (8) modular forms (13) notes (5) partitions (5) primes (2)

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