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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, April 16, 2026 2:30 pm - 4:00 pm EDT (GMT -04:00)

Differential Geometry Working Seminar

Alex Pawelko, University of Waterloo

Morse Theory via Harmonic Oscillators

We will discuss the approach to Morse Theory originally due to Witten, where one constructs deformed Laplaceoperators whose low-energy eigenvectors concentrate near the critical points of one's Morse function, and thenuses Hodge theory to relate this to de Rham cohomology.

MC 5403

Monday, April 20, 2026 1:00 pm - 2:30 pm EDT (GMT -04:00)

Computability Learning Seminar

Elan Roth & William Dan, University of Waterloo

Randomness in the Arithmetic Hierarchy

We will introduce a problem posed by Bienvenu, Csima, and Harrison-Trainor about transforming indices of random left c.e. reals to optimal machines with specific halting probabilities. Then, we will prove two results that have been useful in our attempts to resolve the open problem.

MC 5403