Shapes

Welcome to Pure Mathematics

We are home to 30 faculty, four staff, approximately 60 graduate students, several research visitors, and numerous undergraduate students. We offer exciting and challenging programs leading to BMath, MMath and PhD degrees. We nurture a very active research environment and are intensely devoted to both ground-breaking research and excellent teaching.


News

Friday, September 29, 2023

Spring 2023 Graduands

Congratulations to Clement Wan, MMath and Eric Boulter, PhD, who convocated in Spring 2023. Best of luck in your future endeavours!

Events

Monday, January 20, 2025 2:30 pm - 3:30 pm EST (GMT -05:00)

Pure Math Department Colloquium

Daniel Gromada, Czech Technical University

A brief introduction to quantum symmetries

In this talk, I would like to explain the concept of a quantum symmetry. We will focus on symmetries of simple combinatorial objects like finite sets and graphs. This can be approached either from the viewpoint of quantum groups or via diagrammatic categories. I will try to explain how drawing simple string diagrams can reveal interesting findings about quantum symmetries of certain objects.

MC 5501

Tuesday, January 21, 2025 10:00 am - 10:50 am EST (GMT -05:00)

Number Theory Seminar

Krishnarjun Krishnamoorthy, BIMSA

Moments of non-normal number fields

Let K be a number field and a_K(m) be the number of integral ideals in K of norm equal to m. We asymptotically evaluate the sum \sum_{m\leqslant X} a_K^l(m) as X grows to infinity. We also consider the continuous moments of the associated Dedekind zeta function and prove lower bounds of the expected order of magnitude.

Join on Zoom

Tuesday, January 21, 2025 1:00 pm - 2:00 pm EST (GMT -05:00)

Algebraic Geometry Seminar

Catherine St-Pierre, University of Waterloo

Sheppard-Todd-Chevalley theorem (and beyond)

Sheppard-Todd-Chevalley's theorem is one of the most significant results in invariant theory. It provides necessary and sufficient conditions for the fixed subring k[x_1, \dots , x_n]^G under a finite subgroup G of GL_n(k) to be a polynomial ring. We will review the theorem and its applications and summarise some generalisations.

MC 5479