CUMC 2022 — In Person

July 13-17

Schedule and Program

You can download the schedule of the event here.

If you wish to give a talk or present a poster at the CUMC, please make sure to send us the title and abstract of your presentation along with the presentation type (talk or poster) before July 8 at cumc@cms.math.ca.

The format of the talk is a 20-25 minutes presentation with 5 minutes for questions. You will have access to a projector for slides and a whiteboard.

The poster session will be a one hour activity on Saturday, July 16. You will need to stand next to your poster to present it and answer questions from other students.

You may present in English or French, and we invite you to write your slides in the other language if you can. If you have specific needs or restrictions (e.g., if you wish to present in teams or if you will be absent on some days), please let us know in your email.

Keynote lectures

Linan Chen

Linan Chen

McGill University

Title: To be announced.

Abstract: To be announced.





Maxime Fortier-Bourque

Maxime Fortier-Bourque

Université de Montréal

Title: From sphere packings to extremal problems on surfaces

Abstract: What proportion of space can be occupied by congruent balls that do not overlap? Under the same hypotheses, how many balls can be tangent to a central ball? These two classical questions have a fascinating history leading up to very recent developments. We know the exact answer to the first question only in dimensions 1, 2, 3, 8, and 24. The answer to the second question is known in the same dimensions as well as in dimension 4. In most cases, the best known upper bounds are obtained through analysis rather than geometry, via a method called "linear programming" developed by Delsarte. This method can be applied in a variety of situations such as for error-correcting codes and in graph theory. I will discuss four problems concerning hyperbolic surfaces where this method yields the best upper bounds known to date apart from a few exceptions.

Guy Lacroix

Guy Lacroix

Université Laval

Title: To be announced.

Abstract: To be announced.












Kumar Murty

Kumar Murty

University of Toronto

Title: x^n + x + a

Abstract: This family of polynomials has many nice properties. In particular, we will discuss their irreducibility, their discriminants, and their Galois groups, and why they are relevant in coding theory and in cryptography. There are many interesting open problems about the prime divisors of the discriminants. I will describe joint work with Shuyang Shen on some of these questions in which we explore consequences of the ABC conjecture.

Monica Nevins

Monica Nevins

University of Ottawa

Title: New Frontiers in Mathematical Cryptography

Abstract: Public-key cryptography ensures the security of communications and is utterly essential to our modern world. It reposes on the hardness of solving certain mathematical problems. As we collectively learn more, and as we build more viable quantum computers, this set of problems has to evolve. In this talk, we’ll share some of the present and future of mathematical cryptography, and explore the (undergraduate!) mathematical underpinnings of the algorithms at its new frontiers.




William Ross

William Ross

University of Richmond

Title: Defying Gravity:functions and break your intuition

Abstract: We often have a misconception of what constitutes a continuous or a differentiable function. We are often taught that a continuous function is "one you can draw without lifting your pencil" and that a differentiable function is "one that you can draw without making any sharp corners". Though these rudimentary definitions serve us well is developing our intuition, they do not serve us well when we apply the proper definition of continuous and differentiable. This talk will survey intuition breaking functions such as Dirichlet’s nowhere continuous function, Thomae’s function that is continuous only on the irrational numbers, Conway’s function that satisfies the intermediate value property but is nowhere continuous, Cantor’s devil’s staircase function that is continuous and increasing but its derivative is zero almost everywhere, Weierstrass’ nowhere differentiable function, and so on. Moreover, I will also discuss how these types of intuition defying functions are everywhere and, despite the fact they are difficult to create, are extremely common. I’ll also discuss the fact that though Riemann’s name is on everything, he is not as smart as you think he is. The only requirement for this talk is calculus and the willingness to expand your mind.