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Number Theory Seminar

Monday, March 20th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: Kevin Kwan (University College London)

Title: Some Aspects of Moments

Abstract: In the past century, moments of L-functions have been important in number theory and are well-motivated by a variety of arithmetic applications. In this talk, we will begin with two elementary counting problems of Diophantine nature as motivation, followed by a survey of techniques in the past and the present. The main goal is to demonstrate how period integrals can be used to study moments of automorphic L-functions and uncover the interesting underlying structures (some of them can be modeled by random matrix theory).

Math & Stats Department Colloquium

Friday, March 24th, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Kevin Kwan (University College London)

Title: A Moment of Duality

Abstract: In this talk, we will discuss some modern perspectives on several classical problems of arithmetic nature dated back to Gauss, Legendre and Dirichlet. We will motivate this subject by concrete questions of dynamical flavors which demonstrate how the presence of "arithmetic" on the manifolds in question (say in terms of group actions, automorphy and duality) can provide elegant solutions to these problems. These problems are furnished by the many connections to spectral theory, harmonic analysis and differential geometry.

Chung-Hang (Kevin) Kwan is currently a research fellow at University College London. He received his Ph.D. from Columbia University in 2022 and his Ph.D. supervisor is Prof. Dorian Goldfeld. He is interested in automorphic forms/ representations/ L-functions and their applications in number theory.

Math Club

Thursday, March 16th, 2023

Time: 5:30 p.m.  Place: Jeffery Hall, Room 118

Speaker: Jamie Mingo (Queen's University)

Title: Möbius and his Inversions

Abstract: Motivated by a question on power series, Möbius was led to develop the theory of the Möbius function, as it is now known. This function has may uses in number theory and combinatorics.

We will discuss some of the theory of Möbius functions, concentrating on the combinatorial applications.

Curves Seminar

Wednesday, March 15th, 2023

Time: 1:00 p.m.  Place: Jeffery Hall, Room 222 & Zoom

Speaker: Alexandre (Sasha) Zotine

Title: Properties of Projective Toric Varieties

Abstract: We'll continue with some more examples of how polytopes give projective toric varieties. Afterwards, we'll see how properties of the polytope reflect properties of the variety.

Algebra & Geometry Seminar

Tuesday, March 21st, 2023

Time: 1:00 p.m.  Place: Jeffery Hall, Room 222

Speaker: Francis Bischoff (University of Oxford)

Title: The derived moduli stack of logarithmic flat connections

Abstract:

Website details here: https://mast.queensu.ca/~georep/Fall%20'22.html

Algebra & Geometry Seminar

Monday, March 20th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 222

Speaker: Abdul Zalloum (University of Toronto)

Title: Kawaguchi-Silverman Conjecture for Projectivized Bundles over Curves

Abstract:

Website details here: https://mast.queensu.ca/~georep/Fall%20'22.html

Math & Stats Department Colloquium

Friday, March 17th, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: David Nguyen (ºÚÁϳԹÏ×ÊÔ´)

Title: Primes and Divisors: A Tale of Breaking Through Barriers

Abstract: Prime number theory is a branch of number theory and mathematics dedicated to studying prime numbers. In this colloquium, we will explore this fascinating world of prime numbers through their history—including the Bombieri-Vinogradov theorem, the Goldbach and twin prime conjectures—and their connection to the generalized Riemann hypothesis. In the second half of the talk, I will try to explain how my work on the distributions of divisor type functions can be used to study primes and other problems in number theory.

David Nguyen (DAYvid GWIN) is a postdoctoral fellow at ºÚÁϳԹÏ×ÊÔ´, joining the Department last year in August 2022. Before heading north to Canada, he was an FRG postdoc at the American Institute of Mathematics (2021-2022), funded by the NSF. Nguyen obtained his Ph.D. in 2021 from the University of California at Santa Barbara trained under Prof. Yitang Zhang. In addition to conducting his research in number theory, David thoroughly enjoys spreading his enthusiasm for mathematics through teaching students.

Number Theory Seminar

Monday, March 13th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: Brad Rodgers (Queen's University)

Title: Prime factors, cycle decompositions, and Poisson-Dirichlet distributions

Abstract: In this expository talk we will discuss some of the similarities between the size of prime factors of a randomly chosen integer and the size of the cycles of a randomly chosen permutation. Topics I hope to include are Erdos-Kac type central limit theorems concerning the bulk of prime factors and analogous results for permutations, along with a discussion of the statistics of large prime factors and large cycles.

Math Club

Thursday, March 9th, 2023

Time: 5:30 p.m.  Place: Jeffery Hall, Room 118

Speaker: Mike Roth (Queen's University)

Title: The Cattle of the Sun

Abstract: This talk will discuss a famous puzzle created by Archimedes, the greatest mathematician of antiquity.

Probability Seminar

Wednesday, March 8th, 2023

Time: 12:00 p.m.  Place: Jeffery Hall, Room 234

Speaker: Duncan Dauvergne (U of Toronto)

Title: Random planar geometry and the directed landscape

Abstract: The directed landscape is a random `directed metric' on the spacetime plane that arises as the scaling limit of integrable models of last passage percolation. It is expected to be the universal scaling limit for all models in the KPZ universality class for random growth and random planar metrics. In this talk, I will describe its construction and some aspects of its geometry