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
Two Pure Math professors win Outstanding Performance Awards
The awards are given each year to faculty members across the University of Waterloo who demonstrate excellence in teaching and research.
Pure Math PhD student wins Amit and Meena Chakma Award for Exceptional Teaching
The award ($1000), which is given to up to four recipients annually, recognizes excellence in teaching by students, including intellectual vigour, skill in communication and presentation of subject matter, and concern for the needs of students.
Spring 2023 Graduands
Congratulations to Clement Wan, MMath and Eric Boulter, PhD, who convocated in Spring 2023. Best of luck in your future endeavours!
Events
Number Theory Seminar
Zahra Janbazi, University of Toronto
Extensions of Birch-Merriman and Related Finiteness Theorems
A classical theorem of Birch and Merriman states that, for fixed n, the set of integral binary n-ic forms with fixed nonzero discriminant breaks into finitely many GL(2, Z)-orbits. In this talk, I’ll present several extensions of this finiteness result.
In joint work with Arul Shankar, we study a representation-theoretic generalization to ternary n-ic forms and prove analogous finiteness theorems for GL(3,Z)-orbits with fixed nonzero discriminant. We also prove a similar result for a 27-dimensional representation associated with a family of K3 surfaces.
In joint work with Sajadi, we take a geometric perspective and prove a finiteness theorem for Galois-invariant point configurations on arbitrary smooth curves with controlled reduction. This result unifies classical finiteness theorems of Birch–Merriman, Siegel, and Faltings.
MC 5479
Algebraic Geometry Working Seminar
Kaleb D Ruscitti, University of Waterloo
Real Analytic Varieties and Singularities
Analytic varieties have the flavour of algebraic geometry, but are also foreign in many ways. Of course, over the complex numbers, Serre showed that analytic and algebraic varieties are strongly related. Over the real numbers however, things are more interesting.
In this talk I will review the definition of analytic completion, analytic spaces, and their relationship to algebraic varieties. Then I will focus on the real case, and talk about singularities of real analytic spaces and real normal crossings divisors.
MC 5479
Harmonic Analysis Learning Seminar
Aleksa Vujicic, University of Waterloo
Fourier Algebras of Semi-Direct Product Groups of Local Fields
We look at Fourier Algebras of Semi-Direct Product Groups of Local Fields.
MC 5403