Connector theory for entropy inequalities

Quantum entropy inequalities fundamentally limit how information can be distributed in a quantum system. However, it is an open problem to list and show all the entropy inequalities for the quantum setting beyond 3-party systems, which has proven extremely challenging both numerically and analytically. As the number of qubits we can experimentally initiate and control […]

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Addressing Endogeneity in count data using a two-stage copula generated regressor approach

This research project addresses a common problem in studying medical data: understanding the true effects of different treatments when the data is not from a controlled experiment. Specifically, we are looking at patients with systemic lupus erythematosus (SLE) and the number of infections they get. Often, traditional methods need special, hard-to-find data to ensure accurate […]

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Mitacs Accelerate Fellowship

The proposed research project focuses on understanding how to better prevent and respond to cholera outbreaks, particularly in impoverished areas lacking clean water and proper sanitation. Despite having the tools to prevent cholera, most efforts are reactive rather than proactive, meaning resources are often mobilized only after an outbreak occurs. The study will analyze the […]

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Effect of influenza vaccination with high-doseantigen on geriatric population

Vaccination is an important preventive measure against influenza infection during both seasonal epidemics and pandemic outbreaks. This research aims to evaluate the health benefits and costs associated with a new vaccine developed by Sanofi for seasonal influenza. This vaccine provides better efficacy and higher protection for individuals over 65 years of age. The vaccine is […]

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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

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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 […]

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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 […]

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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 […]

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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 […]

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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 […]

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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. […]

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