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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Author: sendit

Reciprocity Theorems via Algebraic K-Theory – Hui Langwen

Abstracts
November 6, 2024November 6, 2024
by sendit

Algebraic K-theory is a categorical construction that interacts in profound ways with arithmetic, algebraic geometry……

Non-Vanishing of L Functions – Debmalya Basak

Abstracts
September 26, 2024
by sendit

The non-vanishing of L-functions at the central point s = 1/2 is a fundamental problem……

An Expository Talk on Iwasawa Theory – Khaled Albattal

Abstracts
April 29, 2024
by sendit

Iwasawa theory emerged from the foundational work by Kenkichi Iwasawa in the 1950s and 1960s,……

Arithmetic Moduli of Elliptic Curves – Lin Fengyuan

Abstracts
April 17, 2024
by sendit

In this talk, we delve into the arithmetic moduli problem for elliptic curves, aiming to……

Number Theory Preliminary Practice – Cruz Castillo

Abstracts
April 10, 2024April 10, 2024
by sendit

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

Arithmetic Polygons and Sums of Consecutive Integers – Amy Woodall

Abstracts
April 1, 2024
by sendit

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 sendit

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 sendit

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 sendit

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 sendit

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

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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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