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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

Thursday, February 12, 2026 1:30 pm - 2:30 pm EST (GMT -05:00)

Strong convergence seminar

Aareyan manzoor, University of Waterloo

1 bounded entropy, strong convergence and peterson thom conjecture

I will introduce 1 bounded entropy and show connections to strong convergence. We will discuss how this was used to resolve the peterson thom conjecture, which says that every amenable and diffuse subalgebra of free group factors are contained in a unique maximal amenable subalgebra.

MC 5479

Thursday, February 12, 2026 2:30 pm - 3:45 pm EST (GMT -05:00)

Differential Geometry Working Seminar

Paul Cusson , University of Waterloo

Spectral curves of Euclidean SU(N)-monopoles

Monopoles over Euclidean R^3 with gauge group SU(N), originally analytic objects, can be studied using the algebro-geometric properties of their spectral curves. We will discuss known results about these curves and how they depend on the asymptotics of the monopole's Higgs field. We will then go over some elementary results that restrict the possible degrees of the spectral curves when we impose symmetries on these monopoles from finite subgroups of SO(3)
MC 5403

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