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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

Friday, February 13, 2026 12:00 pm - 1:00 pm EST (GMT -05:00)

PhD Seminar

Yash Singh, University of Waterloo

Buildings of reductive groups.

We study an algebraic construction of the spherical building of the reductive group due to Halpern-Leistner and a connection between this construction and the classification of toric vector bundles by Kiaveh-Manon.

MC 5403

Friday, February 13, 2026 3:30 pm - 4:30 pm EST (GMT -05:00)

Geometry and Topology Seminar

Caleb Suan, Chinese University of Hong Kong

Hull-Strominger Systems and Geometric Flows

The Hull-Strominger system is a system of partial differential equations stemming from heterotic string theory in physics. Mathematically, these equations lead us to consider special structures with torsion and have been proposed as a natural generalization of the Ricci-flat condition on non-Kahler Calabi-Yau threefolds. In this talk, we discuss a geometric flow approach to the system, known as the anomaly flow. We shall also look at 7-dimensional analogues of the system and flow.

MC 5417

Thursday, February 19, 2026 11:00 am - 12:00 pm EST (GMT -05:00)

Algebraic geometry working seminar

Catherine St-Pierre, University of Waterloo

Why does the Spec functor not extend to non-commutative rings?

The functor Spec, which assigns to a commutative ring its prime spectrum, plays a central role in algebraicgeometry. A natural question is whether this construction can be extended in a meaningful way tononcommutative rings. In this talk, we discuss the obstruction to the extension of the functor Spec to non-commutative rings presented by Manuel L. Reyes, showing that any functor extending Spec and satisfyingreasonable compatibility conditions must collapse on certain noncommutative rings, such as matrix algebras$M_3(\mathbb C)$.

MC 5417