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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

Events

Owen Sharpe (University of Waterloo)

Primality Testing Is Easy but Factoring Is Hard
You've probably heard of RSA, and that it relies on factoring being a hard problem, but did you ever wonder where the large primes come from in the first place? We will take a tour through primality testing and factoring algorithms, starting with trial factoring and the sieve of Eratosthenes, through probabilistic methods like the Miller-Rabin probabilistic test and the Pollard rho method, to the bleeding edge of AKS and the quadratic sieve.
MC 5417
Tuesday, October 6, 2026 2:30 pm - 4:00 pm EDT (GMT -04:00)

Differential Geometry Working Seminar | Facundo Camano | SU(2) is lying to us

Facundo Camano (University of Waterloo)
SU(2) is lying to us.
We will compute the index of the deformation operator of a BPS monopole on R^3. During this computation, we will encounter how classical index results fall short in the presence of symmetry breaking. A hybridization of the b-calculus and scattering calculus will be the remedy to bypass the symmetry breaking and perform the computation.
MC 5417