Dr. Morgan Craig is Canada Research Chair in Computational Immunology, a Researcher at the CHU Sainte-Justine Azrieli Research Centre, and Associate Professor in the Department of Mathematics and Statistics at the Université de Montréal. In her research, she studies how the immune system responds to threats and how differences between individuals affect these responses. For this, she develops predictive, mechanistic mathematical and computational models calibrated to and validated against experimental and clinical data to study the progression and treatment of cancer and viral infectious diseases through the lens of immunity. In her work and through highly multidisciplinary research conducted in close collaboration with experimentalists and clinicians, Dr. Craig uses in silico clinical trials and virtual patient cohorts to concretely improve therapeutic regimens and patient outcomes.

My research interests are around dynamical systems in small dimension, either ODE or difference equations.

In the case of ODE, I am interested in the qualitative theory of ODE and the development of methods allowing understanding the geometric organization of the solutions, often summarized in the phase portrait. I am especially interested to parameter dependent ODE and bifurcation analysis: bifurcations correspond to qualitative changes on the phase portraits occurring for particular values of the parameters. I am interested in applications to Hilbert 19s 16th problem on one side and, occasionally, to some predator-prey models in mathematical biology.

The main part of my recent research deals with the study of equilibrium positions of analytic dynamical systems depending on parameters, more precisely with the problem
of analytic classification of singularities of families of dynamical systems depending on parameters: when are two analytic families of dynamical systems equivalent modulo an analytic change of parameters and possibly a reparameterization of time? There are many obstructions to such equivalences and I am interesting in understanding their geometric meaning.

I am also very involved in popularization of mathematics and the training of future high school teachers.
I was the instigator and international coordinator of the international year Mathematics of Planet Earth 2013 (MPE2013).