Collaborative Research Groups

Collaborative Research Group (CRG) typically consists of researchers with overlapping research interests and with a common desire to collaboratively develop some aspects of their research programs. A CRG will organize joint seminars and workshops, make joint PDF appointments, and perhaps develop joint graduate training programs, but will have the potential to do much more, given the resources and organizational structure of PIMS.

More About CRGs

Current and Upcoming Collaborative Research Groups

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L-Functions in Analytic Number Theory
Analytic number theory focuses on arithmetic questions through the lens of L-functions. These generating series encode arithmetic information and have connections with a host of other mathematical fields, such as algebraic number theory, harmonic...
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Movement and Symmetry in Graphs
The Movement and Symmetry in Graphs Collaborative Research Group will look at Graph Theory. Graph theory is a thriving discipline that lies at the interface of computer science and pure mathematics; the goal of this CRG is to make the prairie region...
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Pacific Interdisciplinary hub on Optimal Transport
The Pacific Interdisciplinary hub on Optimal Transport (PIHOT) is a Collaborative Research Group examining the research and applications of Optimal Transportation across a wide audience of researchers, students, industry, policy makers and the...

Past Collaborative Research Groups

Quantum Topology and its Applications
Of all of the scientific discoveries of the past few decades, one of the most promising — and surprising — is that of topological materials. These materials have the potential to change not only what is done in labs but also what we do in our homes...
High Dimensional Data Analysis
There are fundamental open questions that limit the industrial uptake of ideas from the mathematics of high-dimensional data and their application in practice. These include bridging the gap between the sampling required by theory and what is...
Geometric Analysis
This three-year long CRG aims to enhance connections and stimulate collaborations among the mathematicians at the four institutions (the Australian National University, the Beijing International Center for Mathematical Research, the University of...
Geometric and Cohomological Methods in Algebra
Overview Universities in Western Canada have been traditionally strong in algebra, in particular in representation theory and the theory of Lie algebras. More recently, the algebra community in Western Canada was solidified and strengthened by the...
Explicit Methods for Abelian Varieties
Overview Abelian varieties are fundamental objects in algebraic geometry with a long, rich history of study. They are indispensable in number theory, and an important source of practical settings for cryptography. Although there are wide-ranging...
Applied, Algebraic and Geometric Topology
Topology is a central area of mathematics, with broad interactions with many other fields as well as emerging applications to subjects such as robotics, economics, computer science and large data set analysis. The subject often is divided into its...
Applied Combinatorics
The CRG in Applied Combinatorics will address problems at the interface of discrete mathematics and the physical sciences. The key objects are beautiful and subtle combinatorial models, which are of interest to both pure and applied mathematicians...
Geometry and Physics
Pure mathematics and fundamental physics, historic partners for centuries, grew apart during the first half of the 20th century. This changed with the emergence of gauge theory in particle physics and, still more strikingly, the string-theoretic...
Algorithmic Theory of Networks
OVERVIEW The technology revolution of the 1990s and the 2000s owes much of its existence to the advances in computer networking technologies. These advances have made profound changes in how we model, construct/modify, maintain, use, and, ultimately...
Optimization: Theory, Algorithms and Applications
The linear programming problem: Is there a polynomial time algorithm over the real numbers which decides the feasibility of the linear system of inequalities Ax ≥ b? (Problem 9 of 18 in Mathematical Problems for the Next Century by S. Smale) Our...
Applied and Computational Harmonic Analysis
Overview Applied and Computational Harmonic Analysis is an interdisciplinary branch of modern mathematics and is concerned with the applied and computational aspects of harmonic analysis and approximation theory, with special emphasis on wavelet...
Mathematics of Quantum Information
Overview Quantum information science is an interdisciplinary research endeavour that brings together computer scientists, mathematicians, physicists, chemists, and engineers to develop revolutionary information processing and communication...
L-functions and Number Theory
Overview Number theory is a subject as diverse as it is ancient, and this diversity is well represented in the mathematics departments of PIMS universities. These universities are home to academics with expertise in algebraic and analytic number...