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
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
53rd annual COSY conference a success
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.
Pure Math Department celebrates undergraduate achievement at awards tea
On March 24, the department of Pure Mathematics held its annual Undergraduate Awards Tea, an event that celebrates the accomplishments of its remarkable undergraduate students.
Events
Differential Geometry Working Seminar
Faisal Romshoo, University of Waterloo
Anisotropic Calibrations
I aim to talk about some of the technical details in Tomasso Pacini and Kotaro Kawai’s paper ”Anisotropiccalibrations, adiabatic limits, and mirror symmetry” which Tomasso presented in the Geometry and Topology seminar last month. If time permits, I want to explore how we can generalize the notion of Smith maps using anisotropic calibrations.
MC 5417
Differential Geometry Working Seminar
Viktor Majewski, University of Waterloo
Generalized Seiberg-Witten Equations and where to find them
Everywhere.
MC 5417
Computability Learning Seminar
Michael Gregory, University of Waterloo
The Complexity of the Isomorphism Problem for Finitely Generated Algebras
We review the arithmetic hierarchy and use it to analyze the isomorphism problem for finitely generated c.e. algebras. We introduce the ascending chain condition (ACC) on congruences and explain how it restricts the complexity of isomorphism. We show that any finitely generated c.e. algebra whose congruence lattice satisfies ACC has a \(\Pi_2\) isomorphism problem. Then, we prove that the class \(UF_2\) of algebras with two unary operations has \(\Sigma_3\)-complete isomorphism problem.
MC 5403