Date
Monday March 20, 2023Location
Jeffery Hall, Room 222Monday, 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
Date
Friday March 17, 2023Location
Jeffery Hall, Room 234Friday, 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.
Date
Monday March 13, 2023Location
Jeffery Hall, Room 319Monday, 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.
Date
Thursday March 9, 2023Location
Jeffery Hall, Room 118Thursday, 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.
Date
Wednesday March 8, 2023Location
Jeffery Hall, Room 234Wednesday, 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
Date
Wednesday March 8, 2023Location
Jeffery Hall, Room 222 & ZoomWednesday, March 8th, 2023
Time: 1:00 p.m. Place: Jeffery Hall, Room 222 & Zoom
Speaker: Sonja Ruzic
Title: The Toric Variety of a Polytope
Abstract: We stay in the setting of very ample polytopes. We will look at affine pieces and their intersections. Then, we will define the toric variety of a very ample polytope and look at some examples.
Date
Monday March 6, 2023Location
Jeffery Hall, Room 319Monday, March 6th, 2023
Time: 4:30 p.m. Place: Jeffery Hall, Room 319
Speaker: Lauryn Needham (Queen's University)
Title: Some results on averages of digits of continued fractions
Abstract: For almost all x in (0, 1), the Gauss-Kuzmin distribution tells us that the probability that a random digit of the continued fraction expansion of x equals k is $\log_2(1 + \frac{1}{k(k+2)}$. We might then wonder if $\frac{1}{N}\sum_{n=1}^N a_n$, where $a_n$ is the n-th digit of the continued fraction of x, converges as N goes to infinity for almost all x in (0,1). In fact, it does not, but there are other averages that do. In this talk we will look at a theorem that tells us for which positive arithmetic functions f the limit $\frac{1}{N} \sum_{n=1}^N f(a_n)$ converges as N goes to infinity.
Date
Friday March 10, 2023Location
Jeffery Hall, Room 234Friday, March 10th, 2023
Time: 2:30 p.m. Place: Jeffery Hall, Room 234
Speaker: Jose Perea (Northeastern)
Title: The underlying Topology of Data
Abstract: Topology is the branch of mathematics concerned with shapes and their spatial properties. In this talk I’ll show how several ideas from classic algebraic topology – like cohomology, classifying spaces and vector bundles – can be used in machine learning tasks such as dimensionality reduction, time series analysis and data alignment.
Dr. Perea earned his Ph.D. in Mathematics from Stanford University in 2011, and a B.Sc. in Mathematics from Universidad del Valle (Summa cum laude and Valedictorian) in 2006. He was a postdoc in the depart- ment of Mathematics at Duke from 2011 to 2015, and a long term visitor of the Institute for Mathematics and its Applications (IMA) at the University of Minnesota during the Fall of 2014. In August of 2015 he joined Michigan State University as an Assistant Professor with joint appointments in the department of Computational Mathematics, Science and Engineering (CMSE), and the department of Mathematics. Dr. Perea moved to Northeastern University in the Fall of 2021 as an Associate Professor in the department of Mathematics and the Khoury College of Computer Sciences.
The work of Dr. Perea has been supported by grants from DARPA, the National Science Foundation, the Center for Business and Social Analytics, and an NSF CAREER award.
Date
Thursday March 2, 2023Location
Jeffery Hall, Room 118Thursday, March 2nd, 2023
Time: 5:30 p.m. Place: Jeffery Hall, Room 118
Speaker: Greg Smith (Queen's University)
Title: Mathematical Mistakes
Abstract: What kinds of mistakes do mathematicians make?
In this talk, we will explore a partial taxonomy of mathematical errors. Using some infamous examples, we hope to gain historical insight, improve our self-awareness, and generally be entertained.
Date
Monday March 13, 2023Location
Jeffery Hall, Room 222Monday, March 13th, 2023
Time: 4:30 p.m. Place: Jeffery Hall, Room 222
Speaker: Abdul Zalloum (University of Toronto)
Title: Metrics on mapping class groups
Abstract:
Website details here: https://mast.queensu.ca/~georep/Fall%20'22.html
