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QUIGS Seminar: Quantum Channels with Dilations on Matrix Spaces

Jeremy Levick (AIMS - University of Guelph) We present a generalized Stinespring dilation for unital quantum channels: the Stinespring dilation can be thought of as a unitary 1-dilation for a channel. We discuss when a unital channel has such dilations, and specifically, when a channel can be dilated to a matrix space and have a dilation. This is joint work with Rob Martin at UCT.

PhD Math Defence: Models of Cytokine Dynamics During Cytokine Storms and Synergy During Virus and Drug Combination Therapy

Marianne Waito, Ph.D. Thesis Defence This thesis presents two mathematical models that aim to support biological researchers in the fight against cancer. They are based on biological phenomena observed by researchers at the Ontario Veterinary College (OVC). The first models interactions of cytokines during a fatal cytokine storm, while the second models effects of combining an oncolytic virus and an epigenetic modifier.

MSc Math Defence: A Novel Representation for Graph Evolution

Meghan Timmins, M.Sc. Thesis Defence Networks and combinatorial graphs are commonly used in a wide variety of types of mathematical modelling to represent structures such as contact networks in epidemiology, road networks in urban planning, and scheduling conflicts.

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