Collaborative Research Groups
A 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.
Current and Upcoming Collaborative Research Groups
2025—2028
Diagram Categories in Homotopy Theory
This CRG will study diagram categories in homotopy theory, focusing on functor calculus, equivariant homotopy theory, and polyhedral products. These are active and important fields of research with connections to each other and to other areas of...
2024—2027
Structure-Preserving Discretizations and their Applications
There is a dedicated CRG Website for this CRG, please see that site for up to date information. Nature abounds with mathematical structure. Computational models of nature, however, often do not reflect such structure, and hence their predictions may...
2023—2026
Forecasting and Mathematical Modeling for Renewable Energy
Wind and solar energy are expected to be the primary sources of electricity in the future world. Both wind and solar power are stochastic and intermittent as they are weather driven. The main purpose of this CRG is to develop meso, submeso and micro...
2022—2025
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...
Past Collaborative Research Groups
2021—2024
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...
2021—2024
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...
2020—2023
Novel Techniques in Low Dimension: Floer Homology, representation theory and algebraic topology
Recent advances have completely reshaped the landscape of geometric topology. On the one hand, Perelman's revolutionary work on Ricci flow confirms Thurston's geometrization conjecture, establishing that topological 3-manifolds can be decomposed into...
2020—2023
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...
2018—2021
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...