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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

Wednesday, June 24, 2026 2:00 pm - 3:30 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Kaleb Ruscitti, University of Waterloo

Extending Hitchin's connection across nodal curves

Hitchin gave a projectively flat connection on the 'Verlinde bundle' over the moduli space of complex structures on a compact genus \(g>=2\) surface (Flat connections and geometric quantization, 1990). Such a surface can be deformed to a stable curve with nodal singularities, and I will discuss the extension of the Verlinde bundle and Hitchin's connection across such deformations.

MC 4058

Wednesday, June 24, 2026 3:30 pm - 5:00 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Facundo Camano, University of Waterloo

Equivalent Formulations of Monopole Asymptotics

I will go over three ways of defining monopole asymptotics and prove they are all equivalent for finite energy solutions.

MC 4058

Thursday, June 25, 2026 11:00 am - 12:00 pm EDT (GMT -04:00)

Algebraic geometry seminar

Catherine St-Pierre, University of Waterloo

Group Actions in Non-Commutative Algebraic Geometry: a survey of homological property and invariants

We survey non-commutative analogues of classical regularity, Gorenstein, and Cohen-Macaulay properties in the framework of Artin-Schelter. After reviewing the foundational homological properties that govern this theory, we will focus on the structure of invariant rings under group and Hopf algebra actions and review some noncommutative analogues of classical results in invariant theory to characterize the invariant rings of noncommutative rings. The talk concludes with new results extending this invariant-theoretic framework.

MC 5403