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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

We are sad to share the news that János Aczel passed away on January 1, 2020 following a brief illness only six days following his 95th birthday. János became a professor in the Department of Pure Mathematics in 1965 after holding positions at the University of Cologne, Lajos Kossuth University, University of Miskolc, and University of Szeged.

Born in Budapest, Hungary in 1924, János completed his bachelor and master’s degrees at the University of Budapest, as well as his doctorate in mathematical analysis.

At the Canadian Mathematical Society (CMS) Winter Meeting Banquet in Toronto on December 8, 2019, the CMS will recognize Cameron Stewart as part of the Second Inaugural Class of Fellows.

One of 11 of the 2019 fellows, Stewart has been a faculty member in the Department of Pure Mathematics since 1978. Since that time, he has received several honours and awards including:

Events

Tuesday, February 10, 2026 3:30 pm - 5:00 pm EST (GMT -05:00)

Dimer Model Learning Seminar

Leigh Foster, University of Waterloo

Proving the count of boxed plane partitions (box stackings) via the RSK algorithm

The study of lozenge tilings and of the dimer model is a well-established area of research, going back to the 1960's and still subject to active research at present. We will start the learning seminar on this topic with a series of three meetings giving an introduction to the dimer model in its single-dimer version, and considered on a finite hexagonal grid.

This week, we will present a proof of Percy MacMahon's generating functions plane partitions. We will use (a modified version of) the RSK algorithm, also known as the Robinson–Schensted–Knuth correspondence. This gives a count of dimer covers on the hexagonal grid, lozenge tilings of the triangular lattice, and plane partitions, as well as other combinatorial objects.

No prior knowledge of RSK, plane partitions, or much combinatorics is required, and participation is encouraged! Come and learn and ask your questions.

MC 5403

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