Modular Forms and Their L-Functions – Cruz Castillo
We will discuss what a Modular form is on the full Modular group and their……
Herbrand-Ribet Theorem – Ken Willyard
The Herband-Ribet Theorem is an important result in Number Theory that describes a connection between……
Spring 2024 Calendar Now Live
Welcome back! We’re looking forward to another excellent semester of number theory. If you’re scheduled……
Elliptic Curves Over Complex Numbers – Alex Song
I will introduce elliptic curves over and state some results about elliptic curves with complex……
New Feature: Notes From Talks
Great news! We’re starting to add notes from the talk to some of the abstracts……
Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul
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
Shimura reciprocity law was first explicitly used by Shimura in his book “Introduction to the……
Cohen-Lenstra Heuristics – Ken Willyard
The Cohen-Lenstra heuristics provide conjectures on the distribution of Class groups of quadratic number fields…….
Grothendieck’s L-Function Formula – Fengyuan Lin
Grothendieck’s L-function formula is a significant result in algebraic geometry and number theory, providing a……
Integer partitions and Kloosterman sums – Qihang Sun
Ramanujan observed the congruence properties of the partition function. A beautiful combinatorial explanation of the……