# 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.

## Current and Upcoming Collaborative Research Groups

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...

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...

## Past Collaborative Research Groups

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...

2016—2019

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...

2016—2019

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...