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

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

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# Graduate Number Theory Seminar

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

## Herbrand-Ribet Theorem – Ken Willyard

## Spring 2024 Calendar Now Live

## Elliptic Curves Over Complex Numbers – Alex Song

## New Feature: Notes From Talks

## Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul

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

## Cohen-Lenstra Heuristics – Ken Willyard

## Grothendieck’s L-Function Formula – Fengyuan Lin

## Integer partitions and Kloosterman sums – Qihang Sun

University of Illinois Urbana-Champaign

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……

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

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

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

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

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

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

Grothendieck’s L-function formula is a significant result in algebraic geometry and number theory, providing a……

Ramanujan observed the congruence properties of the partition function. A beautiful combinatorial explanation of the……