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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

More than 100 researchers and students from across Canada and around the world attended the 53rd annual Canadian Operator Algebras Symposium (COSY), which took place from May 26-30 at the University of Waterloo.

Events

Tuesday, August 26, 2025 4:00 pm - 5:00 pm EDT (GMT -04:00)

Analysis Seminar

Beatrice-Helen Vritsiou, University of Alberta

On the Hadwiger-Boltyanski illumination conjecture for convex bodies with many symmetries

Let us think of a convex body in R^n (convex, compact set, with non-empty interior) as an opaque object, and let us place point light sources around it, wherever we want, to illuminate its entire surface. What is the minimum number of light sources that we need? The Hadwiger-Boltyanski illumination conjecture from 1960 states that we need at most as many light sources as for the n-dimensional hypercube, and more generally, as for n-dimensional parallelotopes. For the latter their illumination number is exactly 2^n, and they are conjectured to be the only equality cases.

The conjecture is still open in dimension 3 and above, and has only been fully settled for certain classes of convex bodies (e.g. zonoids, bodies of constant width, etc.). In this talk I will briefly discuss some of its history, and then focus on recent progress towards verifying the conjecture for all 1-symmetric convex bodies and certain cases of 1-unconditional bodies.

MC 5501

Monday, September 15, 2025 2:30 pm - 4:00 pm EDT (GMT -04:00)

Pure Math Colloquium

Mattias Jonsson, University of Michigan

Pure Math Colloquium: Algebraic, analytic, and non-Archimedean geometry:

Algebraic geometry is (in part) concerned with solutions to polynomial equations with complex coefficients. It can be studied using complex analytic geometry, taking into account the standard absolute value on the complex numbers. There is a parallel world of non-Archimedean geometry, using instead the trivial absolute value. I will explain some relationships between the three types of geometry.

MC 5501