This project will study a relationship between graph (network) theory and algebraic objects known as ideals. Graph theory is a major branch of mathematics with diverse applications to society and industry, including transportation system modelling, social media marketing, and statistical models, among others. To study a graph, one can use the algebraic structure of a […]

Making use of the ever-growing amount of data available is a vital opportunity for many industries and research labs, both in Canada and the rest of the world. The initial exploratory data analysis phase is when many of the hypotheses and our intuitive understanding of a data set occurs. Thus, it is essential that the […]

Beneva est une entreprise québécoise à caractère mutualiste, qui offre des produits en assurances et en services financiers. Dans le contexte de la loi 25 adoptée par le gouvernement du Québec pour renforcer la protection des renseignements personnels, en adaptant les règles en matière de confidentialité aux nouvelles réalités numériques, Beneva a été soumise à […]

Developing quantum-enhanced LiDAR requires a deep understanding of the water medium’s optical properties, which vary with environmental factors. To address this, an oceanic model was created to estimate system performance based on water’s scattering and absorption traits, though it currently simplifies these as identical. In the proposed project, this will be refined. System analysis is […]

Stochastic partial differential equations (SPDEs) are mathematical models that describe random phenomena evolving over space and time. SPDEs underpin modern approaches to modeling phenomena in fields such as climate science, neuroscience, financial mathematics, engineering and quantum physics. The aim of the project is to construct a new solution to a particular SPDE and investigate the […]

The project sets out to build the Neural Graph Inverse Problem framework, a common “toolbox” that can reverse-engineer hidden connections within many kinds of network-shaped data — whether those networks come from biological processes, social media interactions, or supply chain optimization problems. By treating each task as a puzzle of working backward from observed data […]

Per clinical guidelines, patients with Type 2 diabetes and certain co-morbidities should initiate modern glucose-controlling therapies that also reduce the risk of cardiovascular and renal adverse events, such as GLP-1 RA and SGLT2i medications. But many indicated patients have not initiated these therapies, in part because some primary care doctors are uncomfortable with the complex […]

The project is part of the PhD research conducted by Madeline Berezowski. It is also part of a multifaceted research program developed collaboratively by Dr. Sowa and Dr. Fransson. It revolves around the idea of developing custom mathematical methods in support of frontier quantum physics research. Our specific target is an analysis of systems of […]

Statistical and harmonic analysis of 3-dimensional motions of objects or humans are instrumental to establish how these motions differ, depending on various influences. When such motions involve no tearing, they may be described by elements of the Euclidean Group. Algorithms developed in the author’s Ph.D. dissertation exploit the unique properties of Conformal Geometric Algebra to […]

This project aims to automate the early detection of pandemics by constructing knowledge graphs from open-source data, by providing direct enhancement to an important R&D project, the Health Emergency Monitoring (HEM) tool, of the partner organization. The research, when completed, will provide advanced AI capabilities (more specifically the incorporation of state-of-art LLM), and reduce the […]

The internship focuses on the intersection of mathematics, machine learning, and ethical AI, specifically within the domains of conformal prediction, fairness, and calibration. Conformal prediction is a statistical framework that provides mathematically rigorous confidence measures for machine learning predictions, ensuring that the uncertainty quantification is valid under minimal assumptions. In this project, the goal is […]

Les entreprises de services sont confrontées à des enjeux logistiques majeurs liés à la conception des routes pour servir les clients. Le design de ces routes a un impact important sur les coûts de l’entreprise mais également sur la qualité du service offert. Déterminer les routes les plus efficaces pour servir un ensemble de clients […]