Catégories strictes et catégories faibles en dimension 3

Les catégories strictes sont utilisées pour étudier des propriétés géométriques et calculatoires en algèbre, tandis que les catégories faibles sont importantes pour formaliser les mathématiques sur ordinateur. Si les premières sont bien comprises aujourd’hui, possédant des méthodes de calcul efficaces, la théorie mathématique des secondes est encore peu développée car elles sont bien plus complexes. […]

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Analyse de données massives provenant de médias sociaux

Ce projet de recherche vise à développer de nouvelles approches pour l’exploration et l’investigation de données massives provenant de médias sociaux tels que Twitter, des blogues et des sites de nouvelles. Les outils développés devraient permettre de répondre à des questions telles que : qui sont les personnes les plus influentes, initiatrices de tendance; qui […]

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Mathematical Models of cell invasion types emerging from phenotypic and environmental heterogene

The building blocks of multicellular organisms such as humans are cells, vessels and protein fibers. Cell migrations are instrumental in the development and maintenance of multicellular organisms (such as wound healing). Aberrant cellular migrations are important in many pathological conditions, for instance in cancer. The majority of cancer related deaths (80-90%) are caused by spread […]

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Long term modelling of power prices

Power prices are a significant contributor to the overall risk of almost any large-scale industry. In particular, energy companies such as TransAlta who are active participants in many regional power markets have a strong interest in understanding the long-term risks they are exposed to. This project seeks to develop a model that will help TransAlta […]

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Collaborative Research on A spectral method for Cahn-Hilliard Equation

Cahn-Hilliard, appears in mathematical physics, describes the motion of two phase separating from each other. It has a wide range of applications in diverse fields such as material sciences, nanotechnology and semiconductor fabrication. There is a considerable research interest in studying the solution of the equation; however, the exact solution is hard to find. Therefore, […]

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Process Evaluation of BCAAN/CDBC Internet Project Portal

The British Columbia Autism Assessment Network (BCAAN) and the Complex Developmental and Behavioural Conditions Program (CDBC) are responsible for the coordination and management of referrals and assessments in BC for children suspected of having Autism Spectrum Disorders and other related spectral disorders. As part of a larger project to perform a comprehensive review and revision […]

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The Hitchin—Kobayashi Correspondence

The goal of this project is to study the Hitchin–Kobayashi correspondence which relates solutions of certain differential equations to certain geometric objects with algebraic structure. The differential equations of interest are related to those studied in particle physics. By viewing them from an algebraic perspective, we can often find properties of the space of solutions […]

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Statistical Analysis of Prostate Brachytherapy Treatment Data

This project is a continuation of a previous internship that made use of longitudinal data on patients with prostate cancer obtained over a period of fifteen to seventeen years to initiate a long-term comparison of external-beam radiation therapy and brachytherapy treatments. The key objective is to demonstrate that Brachytherapy treatments offer the best outcomes at […]

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Towards a safer and more efficient communication process in aircraft ground deicing

Deicing is a complex process involving many actors including pilots, air traffic controllers and the deicing crew. In this context, communication mistakes can easily happen but can also have terrible consequences. The goal of the research project is to identify high risk areas of communication for aircraft ground deicing. Analyze of the voice interaction between […]

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Integrating large-scale data sources, Generative AI and Large Language Models (LLMs) in advanced NLP-based techniques and quantitative models.

Picton Mahoney Asset Management (“PICTON Investments”) was founded in 2004 to provide unique investment solutions to institutional, retail, and high-net-worth investors in Canada and globally. The Quantitative Research and Risk team at PICTON Investments is dedicated to developing and maintaining models that support investment decisions and risk assessments. With the increasing complexity of financial markets […]

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