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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Author: sendit

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…….

Grothendieck’s L-Function Formula – Fengyuan Lin

Abstracts
October 16, 2023November 9, 2023
by sendit

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

Integer partitions and Kloosterman sums – Qihang Sun

Abstracts
October 2, 2023October 11, 2023
by sendit

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

On Square-Prime numbers and filtered rays over iterated absolute differences on layers of integers – Raghavendra Bhat

Abstracts
September 26, 2023
by sendit

The dynamical system generated by the iterated calculation of the high order gaps between neighboring……

Hecke Relations for Eisenstein-Eta Quotients and Congruences for Crank and Rank Moments – Clayton Williams

Abstracts
September 21, 2023September 21, 2023
by sendit

The Eisenstein series are classic examples of integer weight modular forms while the Dedekind Eta……

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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) elliptic curves (2) geometry (4) L-functions (8) modular forms (11) notes (5) partitions (5) primes (2) quantum unique ergodicity (2)

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