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
A Lasting Legacy in Pure Mathematics
Read about why Sara Kannan (BA '16) established the Dr. P. L. Kannappan Memorial Scholarship!
Pure Mathematics professor honoured with Distinguished Teacher Award
Pure Math Professor Yu-Ru Liu has been honoured with the University of Waterloo’s Distinguished Teacher Award, 2026.
Join us in congratulating Professor Liu and read more here!
Pure Math Department celebrates outstanding Teaching by a Graduate Student and Teaching Assistants at awards ceremony
On November 3, the department of Pure Mathematics held its Graduate Teaching and Teaching Assistant Awards Ceremony, an event that celebrates the accomplishments of its remarkable graduate students
Events
Master's Thesis Presentation (Prelude) | Lilian Gardner | The Chifan-Ioana-Kunnawalkam Elayavalli Lifting Lemma
Lilian Gardner (University of Waterloo)
The Chifan-Ioana-Kunnawalkam Elayavalli Lifting Lemma
The construction of a separable II_1 factor without property Gamma, and which is not elementarily equivalent to the free group factors requires a lifting lemma, for which if four orthogonal projections in an ultraproduct of II_1 factors are chosen to satisfy certain properties, then sequence representatives of each projection can be chosen to also satisfy the same properties. We go over the proof of this lifting lemma.
MC 5501