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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 17, 2026 2:00 pm - 3:30 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Alex Pawelko, University of Waterloo

Adiabatic Limits of Coassociative Fibrations

I will be going through Donaldson’s paper ”Adiabatic limits of co-associative KovalevLefschetz fibrations”.

MC 4058

Wednesday, June 17, 2026 3:30 pm - 5:00 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Jacques Van Wyk, University of Waterloo

Generalised Complex Structures on Products of Lie Groups

Let \(M\) be an even-dimensional manifold, and let \(H\) be a closed three-form on \(M\). An \(H\)-twisted generalised complex structure on \(M\) is an endomorphism of \(TM \oplus T^*M\)which squares to −1, preserves the natural pseudometric of \(TM \oplus T^*M\), and whose \(i\)-eigenbundle is closed under the \(H\)-twisted Dorfman bracket. A natural question is given a fixed closed three-form \(H\) on \(M\), does there exist an \(H\)-twisted generalised complex structure on \(M\)? We explore this question for products of compact simple Lie groups. This is motivated by Marco Gualtieri’s result that any even-dimensional Lie group with a biinvariant metric admits a generalised complex structure.

MC 4058

Thursday, June 18, 2026 11:00 am - 12:00 pm EDT (GMT -04:00)

Algebraic Geometry Working Seminar

Jiahui Huang, University of Waterloo

Motivic Integration on Artin Stacks

We discuss the twisted arc space of Artin stacks and necessary modifications to perform motivic integration on them.

MC 5403