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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.


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Events

Monday, April 21, 2025 4:00 pm - 5:00 pm EDT (GMT -04:00)

Mirror Symmetry Seminar

Elizabeth Cai, University of Waterloo

Mirror Symmetry Seminar: Isomorphism Between Small Analytical Neighborhoods of Points on (n − s − 1)-dim Stratum, Open Ball and Affine Toric Variety

In Batryrev's construction on dual polyhedra and mirror Symmetry for Calabi-Yau hypersurfaces in toric varieties, when he introduces regularity conditions for hypersurfaces, he proposes a theory implied by the definition of ∆-regular, in which sugguests that there exists an analytical isomorphism from small analytical neighbourhoods of points on a (n − s − 1)-dimensional stratum Zf,σ Zf,Σ to products of a (s − 1)-dimensional open ball and a small analytical neighbourhood of the point pσ on the (n − s)-dimensional affine toric variety Aσ,N(σ). This theory and its corollaries help obtain a simultanious resolution of all members of the family F(∆). 

MC 2017

Thursday, April 24, 2025 4:00 pm - 5:00 pm EDT (GMT -04:00)

Analysis Seminar

Soham Chakraborty, École Normale Supérieure

Measured groupoids and the Choquet-Deny property

A countable discrete group is called Choquet-Deny if for every non-degenerate probability measure on the group, the corresponding space of bounded harmonic functions is trivial. Recently a complete characterization of Choquet-Deny groups was obtained by Frisch, Hartman, Tamuz and Ferdowsi. In this talk, we will look at the extension of the Choquet-Deny property to the framework of discrete measured groupoids. Our main result gives a complete characterisation of this property in terms of the associated measured equivalence relation and the isotropy groups of the groupoid. This talk is based on a joint work with Tey Berendschot, Milan Donvil, Mario Klisse and Se-Jin Kim.

MC 5417 or Join on Zoom