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
Spiro Karigiannis, University of Waterloo
Decomposition of the Riemann Curvature Tensor
The Riemann curvature tensor R of a Riemannian metric decomposes into three orthogonal components: thescalar curvature, the traceless Ricci curvature tensor, and the Weyl curvature tensor. I will explain in detail therepresentation theory and linear algebra underlying this decomposition. Moreover, we will see that in the specialcases of dimensions 2, 3, 4 one can say more. As an application, I will discuss the Singer-Thorpe Theoremcharacterizing Einstein metrics in 4 dimensions in terms of this decomposition. If time permits (and it may wellpermit, as this will be a 2.5 hour talk with a break midway), I will briefly discuss a generalization of these ideasto G2-geometry in 7 dimensions.
MC 5417
Algebraic Geometry Working Seminar
Kaleb Ruscitti, University of Waterloo
Building Kronecker Moduli Spaces
Kronecker moduli spaces are quiver moduli spaces and a generalization of Grassmannians. They parameterize n-tuples of matrices between two vector spaces, up to change of basis on both sides. In this seminar, I will describe how to construct them as GIT quotients and what properties we can prove about them from this construction.
MC 5417
Ergodic Theory Learning Seminar
Julius Frizzell, University of Waterloo
A Quick Introduction to Ergodic Theory
I will introduce the basic definitions and theorems (without proof) of ergodic theory that are needed to discuss Furstenberg's multiple recurrence theorem. The development will follow that in Chapter 1 of "An Introduction to Ergodic Theory" by Peter Walters and Chapter 3 of "Multiple Recurrence in Ergodic Theory and Combinatorial Number Theory" by Harry Furstenberg. Time allowing, I will also cover the statement of the Multiple recurrence theorem itself and its relationship to Szemerédi's theorem.
MC 5417