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
Alex Pawelko, University of Waterloo
Adiabatic Limits of Coassociative Fibrations
I will be going through Donaldson’s paper ”Adiabatic limits of co-associative KovalevLefschetz fibrations”.
MC 4058
Differential Geometry Working Seminar
Jacques Van Wyk, University of Waterloo
Generalised Complex Structures on Products of Lie Groups
Let \(M\) be an even-dimensional manifold, and let \(H\) be a closed three-form on \(M\). An \(H\)-twisted generalised complex structure on \(M\) is an endomorphism of \(TM \oplus T^*M\)which squares to −1, preserves the natural pseudometric of \(TM \oplus T^*M\), and whose \(i\)-eigenbundle is closed under the \(H\)-twisted Dorfman bracket. A natural question is given a fixed closed three-form \(H\) on \(M\), does there exist an \(H\)-twisted generalised complex structure on \(M\)? We explore this question for products of compact simple Lie groups. This is motivated by Marco Gualtieri’s result that any even-dimensional Lie group with a biinvariant metric admits a generalised complex structure.
MC 4058
Algebraic Geometry Working Seminar
Jiahui Huang, University of Waterloo
Motivic Integration on Artin Stacks
We discuss the twisted arc space of Artin stacks and necessary modifications to perform motivic integration on them.
MC 5403