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
Kaleb Ruscitti, University of Waterloo
Extending Hitchin's connection across nodal curves
Hitchin gave a projectively flat connection on the 'Verlinde bundle' over the moduli space of complex structures on a compact genus \(g>=2\) surface (Flat connections and geometric quantization, 1990). Such a surface can be deformed to a stable curve with nodal singularities, and I will discuss the extension of the Verlinde bundle and Hitchin's connection across such deformations.
MC 4058
Differential Geometry Working Seminar
Facundo Camano, University of Waterloo
Equivalent Formulations of Monopole Asymptotics
I will go over three ways of defining monopole asymptotics and prove they are all equivalent for finite energy solutions.
MC 4058
Algebraic geometry seminar
Catherine St-Pierre, University of Waterloo
Group Actions in Non-Commutative Algebraic Geometry: a survey of homological property and invariants
We survey non-commutative analogues of classical regularity, Gorenstein, and Cohen-Macaulay properties in the framework of Artin-Schelter. After reviewing the foundational homological properties that govern this theory, we will focus on the structure of invariant rings under group and Hopf algebra actions and review some noncommutative analogues of classical results in invariant theory to characterize the invariant rings of noncommutative rings. The talk concludes with new results extending this invariant-theoretic framework.
MC 5403