# 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.

1. May 25, 2022Kathryn Hare named Distinguished Professor Emerita

Kathryn Hare from the Department of Pure Mathematics has been named Distinguished Professor Emerita in recognition of her storied career at Waterloo.

Hare has been a mainstay in Pure Math since 1988 when she first took up a role as an assistant professor. She had previously attended Waterloo as an undergraduate student, completing a BMath in 1981.

2. May 20, 2022William Slofstra awarded University Research Chair

A researcher in the Department of Pure Mathematics is among the latest winners of a University Research Chair.

Awarded by the Office of the Provost, a University Research Chair recognizes exceptional achievement and pre-eminence in a particular field of knowledge.

3. Apr. 28, 2022Patrick Naylor wins Mathematics Doctoral Prize

Patrick Naylor, who recently completed a PhD in the Department of Pure Mathematics, has won first place in the 2022 Mathematics Doctoral Prize.

1. Feb. 6, 2023Colloquium

Ronnie Nagloo, University of Illinois at Chicago

"Applications of model theory to functional transcendence"

2. Feb. 7, 2023Learning Seminar on Elliptic Curves

Nicolas Banks, Department of Pure Mathematics, University of Waterloo

"Dual Isogenies, the Weil Pairing, and the Structure of Endomorphism Rings"

We conclude our review of the geometry of elliptic curves by studying dual isogenies. This allows us to prove important results on torsion elements on elliptic curves, culminating in the construction of the Weil pairing and the algebraic structure of rings of isogenies.

MC 5403

3. Feb. 7, 2023Number Theory Seminar

Michael Rubinstein, Department of Pure Mathematics, University of Waterloo

"Differential equations related to averages of the k-th divisor function"

Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.

All upcoming events