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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

AJ Fong (University of Waterloo)

Galois actions on the Picard groups of K3 surfaces of rank 2

We are interested in studying the actions of the absolute Galois group on curves on surfaces. As surfaces of intermediate type, K3 surfaces can be considered geometric analogues of elliptic curves. In this talk I will describe the combinatorial data controlling the possible actions of the Galois group, and ongoing work on constructing (more) explicit examples of surfaces with the desired actions.

MC 5479

Thursday, October 22, 2026 2:30 pm - 3:30 pm EDT (GMT -04:00)

Pure Math Colloquium | Nigel Hitchin | Geometry and Physics in two dimensions

Nigel Hitchin (University of Oxford)
Geometry and Physics in two dimensions
Fifty years ago, gauge theory in four dimensions brought new techniques into play in geometry and established a dialogue between physicists and mathematicians which has persisted. The talk will discuss ways in which these aspects have been adopted in studying quite concrete problems in two dimensions of interest to both communities. They reveal both the benefits and limitations of having alternative viewpoints.
DC 1302
Friday, October 23, 2026 9:30 am - 11:00 am EDT (GMT -04:00)

Algebraic Geometry Working Seminar | Abdullah Zubair | Fantastacks

Abdullah Zubair (University of Waterloo)

Fantastacks

In this talk, we will discuss fantastacks which are a special family of toric stacks whose construction parallels the Cox construction of toric varieties. We will compute the Picard group of any fantastack and give an idea of how to compute the cohomology of line bundles.

In the pre-seminar period, I will give a brief overview of toric stacks.

MC 5403