people

Fatemeh Beigh Mohammadi or, as she was commonly called, Azade, worked with Jane Breen and myself on the dynamics of clustered Markov chains. We are currently writing up a paper on the modelling of EEG dynamics using such networks.

Driss worked with me through the Fields Institute in the context of a theme program on computational physics that I co-organised. At the time, he was lecturing at the university of Laval.

Nicolas worked with Greg Lewis and myself on invariant solutions on differentially heated, rotating flow.

Başak is investigating the stablity of Burgers vortex flows to finite-sized perturbations. This is a joint project with Greg Lewis (Ontario Tech) and Andrew Hazel (Manchester). Başak is currently preparing for her candidacy exam and also for her presentation at the CAIMS annual meeting.

Eric worked with Yan Fossat of Klick labs and myself on the extraction of biomarkers for type-2 diabetes from data obtained from Continuous Glucose Monitors. Just before his candidacy exam came up, he was offered a job at RBC, one of the bigger banks in Canada, and could not refuse. The second half of his PhD research will be somewhat delayed, but we are working on a re-analysis of the trial data that focuses more on dynamics and less on statistics.

Kevin worked on the simulation and bifurcation analysis of mean-field EEG models. He spent a few months in France to work with Axel Hutt.

Ivanky worked with Prof. Quispel and myself at La Trobe University in Melbourne, Australia, back when I was a postdoc and lecturer there. His thesis concerns the identification of conserved quantities and foliations in predator-prey type ODE models. We also studied subtle degeneracies of bifurcations in systems with such special structure.

Cora graduated form our Applied and Industrial Math program and is now working on the energy balance of bike racing. A cool problem that I had never given a second’s thought to. She is expected to finish her MSc in the summer of 2025.

Jaycee worked on the same project as Eric, the extraction on biomarkers for type-2 diabetes from CGM data. After co-authoring several patents and papers, she was offered a job by our partner, Klick Health, before she had written her thesis. We made it work, and will be on the same team again soon when we investigate data from voice recordings.

Andree worked with Luciano Buono (UQ Rimouski) and myself on the modelling of collective motion in two spatial dimensions. We used non-local partial differential equations and Andree spent a lot of time and energy on writing and testing a simulation code in Python/NumPy.

Derick looked into the constrained optimization problems that arise when upgrading the electricity network. Such problems are arising more and more as we shift to electric vehicles and demand grows, but much more at certain times and locations than at others.

Wenyue studied several simplified models of cardiac arrhythmia. In particular, we were interested in the bifurcation scenarios that lead from a regular to an irregular heart beat. Since even the simple models are highly nonlinear and have several parameters, Wenyue automated the bifurcation analysis, which required stitching together Fortran (AUTO), Python and Bash scripts. We greatly benefited from our discussions with Elizabeth Cherry, now at Georgia Tech.

Eryn completed both her BSc and MSc degree in the Ontario Tech Math and MCSC groups. Her thesis is about the extension of non-local models of animal aggregation from one to two spatial dimensions.

Behzad worked on the global bifurcation analysis of a number of low-order models for shear flow.

Mitchell worked on equivariant bifurcation theory applied to models of animal aggregation in one spatial dimension. This was the first in a series of joint projects with Luciano Buono, now in Rimouski.

Alex worked with Dhavide Aruliah, now at Quansight, and myself on the parallel optimization of arclength continuation. The resulting algorithm, PAMPAC, is available throught the ACM library.

Loukia graduated at Concordia University after I moved to Ontario Tech. She worked on the numerical and exact bifurcation analysis of a simple, local EEG model.

Gabrielle and I were planning to work together in the summer of 2021 but COVID threw a spanner in the works. In the end, we ran the project online. She successfully computed several invariant solutions in 3D Kolmogorov flow.

Jacob had already raked up three degrees (math, software engineering and education) when he joined my project with Klick Health. He wrote, tested and maintained the original code that our work, and that of Jaycee and Eric, is based on.

Mei-yu Chen helped Yan, Eric, Jaycee and myself develop the software for the project on Continuous Glucose Monitors. As a software engineer, she organised all source code in repositories while following the rules and recommendations of the Research Ethics Board.

Rohit worked with Jane Breen and myself on simple Markov chain models that reproduce spiking behaviour typically observed in models of neurons or neural masses.