Consistent Colourings of Polytopes Facets

The project I will be working on involves colouring the faces or facets of regular symmetric polytopes (generalizations of polygons and polyhedrons) and how colourings change under automorphism transformations like reflections and rotations. I intend to develop as comprehensive an understand as possible of these colourings

Read More
Municipal Fiscal Framework Research Options

New Brunswick municipalities have undergone transformative change due to the white paper on Local Government Reform. While municipal reform has focused on the structural elements of communities, it has not undertaken the financial reform that is long overdue. The provincial government is beginning to discuss reforms, the Union of Municipalities of New Brunswick is looking […]

Read More
JUMP Math Digital Resource Development

JUMP Math is an award-winning Canadian charity that believes everyone can be successful at mathematics and envisions a numerate and equitable society for all through mathematics education. The organization provides research-informed and curriculum-aligned resources and training that instill confidence and spark a life-long love of mathematics. As an organization, JUMP Math has 20 years of […]

Read More
Economic Capital Modeling by Using Copulas

Sun Life Financial is carrying out its ERM and ORSA analysis. The company seeks to develop sophisticated and mathematically sound internal models that would serve as company’s own risk measurement tools for EC evaluations, provide continuing insights into the appropriate risk management routes, as well as be a benchmark against the RC required by the […]

Read More
Methods to minimize bias in meta-analyses of randomized controlled trials with treatment switching

Our project aims to better understand how cancer research studies, specifically those that test the effectiveness of treatments, can be improved when patients switch treatments during the study. This switch, which happens often in cancer treatments, can make it difficult to tell how effective the original treatment is. Currently, the way researchers combine and analyze […]

Read More
Zome constructibility and the omnitruncated dodecaplex

On January 25th 2019, Benoit Charbonneau and a team of volunteers attempted to construct a three-dimensional shadow of the omnitruncated dodecaplex, a four-dimensional geometric shape, built using Zometool pieces. Over the course of 14 hours, volunteers built and supported the prototype structure, which was ultimately disassembled as it could not support its own weight. Building […]

Read More
Open-Source Software for Causal Transportability Analysis

Randomized clinical trials (RCTs) are considered the gold standard due to their excellent internal validity results and are a vital tool for evidence-informed global health policymaking. However, the external validity, which results from the uniqueness of low- and middle-income countries (LMICs) in healthcare, culture, and demography, significantly hampers the value of RCTs in these regions. […]

Read More
Validation of genomic biomarker in pooled case-cohort studies

Prostate cancer is the most common cancer in men. Radical prostatectomy (RP) is a common treatment for this cancer, and after surgery, patients are still considered at risk. It’s important to accurately identify high risk patients after RP in order to reduce risk through further treatments. The genomic classifier (GC) DecipherTM, a product of GenomeDx […]

Read More
Stage International de recherche en Analyse Quantitave à l’UEDS

Dans le cadre, de mon diplôme d’ingénieur en France, je dois effectuer un stage international pour bénéficier d’une expérience internationale. J’ai choisi le domaine de la recherche, car c’est une discipline intrigante et stimulante qui n’est pas assez développée en France. C’est un domaine qui a toujours aiguisé ma curiosité au point où j’ai choisi […]

Read More
Measuring Structural Diversity using Lacunarity

Forests are important for a variety of ecological, social, and economic values. With climate change, forest ecosystems are globally impacted. More diverse, complex forests are thought to be resilient to climate change impacts. Forest complexity is a well established concept , yet poorly quantified. For forest managers and conservation biologists to make informed decisions, quantitative […]

Read More
Optimal Flows for the Energy Transfer

In this project, we aim to numerically analyze the following conjecture “optimal flows for energy transfer correspond to reconnection of anti-parallel vortex tubes”. We will be tackling this optimization problem using a novel method employed by Professor Protas’ research group over the past few years. This project comes as a way to maintain a strong […]

Read More
Software Tools for Discovering Quantum Computing Applications (Differential Equations Focus)

A lot of industries rely on solving complex mathematical problems to improve their processes and design their products. Non-linear differential equations are often essential for making advancements. However, solving these equations with traditional computers is extremely challenging and resource intensive. Current computing methods struggle with these complex equations, leading to high energy use, long development […]

Read More