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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Month: January 2026

Fengyuan – Drinfeld Modular Forms

Abstracts
January 23, 2026
by sendit

Modular forms provide key tools to obtain fundamental results in number theory. These forms are……

Abhishek – When Totients Meet Factorials

Abstracts
January 23, 2026
by sendit

Factorial ratios often hide surprising divisibility patterns, and studying when such ratios are integers has……

Alex – Analytic Class Number Formula

Abstracts
January 23, 2026January 23, 2026
by sendit

I will introduce some of the ideas behind the proof of the analytic class number……

Khaled – An Excursion into the p-Adic World

Abstracts
January 23, 2026January 23, 2026
by sendit

We will introduce the p-adic space from the p-adic number system. We will consider its……

Necef – Tate’s Thesis Speedrun

Abstracts
January 23, 2026
by sendit

I will introduce Tate’s Thesis and touch on some of its consequences. In this talk,……

Ken – Cohen-Lenstra heuristics and its generalizations

Abstracts
January 23, 2026
by sendit

The Cohen-Lenstra heuristics has been a guiding force in research in Number Theory, specifically in……

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 (5) analytic number theory (22) congruences (4) elliptic curves (2) geometry (4) L-functions (10) modular forms (14) notes (5) p-adic analysis (4) partitions (5)

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