Nonabelian second Galois cohomology plays an important role in studying local global priniciples. Grothendieck used it to prove remarkable results on torsors over algebraic groups for classical global fields. This was used later in the context of studying local global principles in the context of fields with Galois groups of virtual cohomological dimension at most […]

Random Graphs are crucial for modelling large, complex networks such as: the hyperlinks between pages of the web, protein interactions at the cellular level, the brain’s neural pathways, social networks and many others. Graphs are ubiquitous because they focus only on connectivity structure. A graph consists of a set of vertices, some pairs of which […]

A quantum proof of knowledge (QPoK) is a protocol in quantum computing that allows one party (the prover) to convince another party (the verifier) that they possess certain knowledge without revealing the knowledge itself. Our research proposal aims to advance the science of QPoKs by developing both theoretical foundations and practical applications. We will explore […]

Le domaine du stage proposé est à l’interface entre la combinatoire et l’algèbre. Plus spécifiquement, il s’intéresse à la combinatoire apparaissant en théorie des représentations d’algèbres. Une question centrale dans ce domaine est la catégorification. Le principe est, étant donné un phénomène combinatoire, de trouver/construire une catégorie (typiquement une catégorie provenant de la théorie des […]

The use of large data sets in today’s world necessitates robust methods for classifying data. Topological data analysis (TDA) studies the shape of data collected in a geometric space. It has been applied to numerous data analysis problems, from glass manufacturing to cancer research. TDA involves examining the data at different distances. TDA constructs a […]

This collaborative project, involving the University of Saskatchewan and Université de Lorraine in France, seeks to advance our understanding of bioplastics—environmentally-friendly materials made by combining polymers with natural fibers like flax or hemp. Our aim is to develop models that can predict how these materials behave under different conditions. By studying the small-scale structures of […]

Le projet de recherche proposé vise à étudier comment les fonds de pension canadiens peuvent mieux évaluer la performance de leurs investissements, en particulier ceux qui ne sont pas cotés en bourse, comme l’immobilier ou les infrastructures. Le stagiaire fera une revue des études existantes pour identifier des indices de référence (ou benchmarks) qui permettraient […]

Desjardins Insurance is a subsidiary of Desjardins Group and provides a broad spectrum of insurance products and services. This includes life insurance, auto insurance, home insurance, and various other types of coverage. It’s known for its strong presence in the Canadian insurance market and its commitment to customer satisfaction. Our organization has been successful at […]

Le programme Mitacs Globalink est pour moi une remarquable opportunité de travailler avec un chercheur spécialiste dans de nombreux domaines des mathématiques. En effet, dans le travail que je mène actuellement en thèse, j’ai été conduit à arpenter diverses spécialités des mathématiques. Pour obtenir des résultats plus généraux que ceux que je suis en train […]

The test-negative design (TND) is an observational study design that is currently and routinely being used globally to evaluate the effectiveness of vaccines against COVID-19 illness caused by emerging SARS-CoV-2 variants. Recently, more reliable statistical estimators were proposed to get better estimates of vaccine effectiveness. However, no one has yet investigated what statistical methods will […]

Realistic data generation has become a hot topic in health research, especially to determine optimal randomized clinical trial design. A growing field of research is “virtual” trials, which are trials conducted through computer simulations to generate synthetic data such that the generated distribution mimics the original data distribution without simply copying the original observations. Especially […]

The Food and Agriculture Organization of the United Nations reports that illegal, unreported, and unregulated (IUU) fishing accounts for as much as 26 million tonnes of fish each year, with a value ranging from $10 to $23 billion USD. Despite its significance, there is a notable lack of comprehensive international databases on nautical crimes, including […]