I am always on the lookout for new PhD students (Canadian or International) and Masters Students (more often Canadian, as funding streams for international masters students are more restricted) to work on projects in mathematical biology or delay differential equations. My biomathematical models are differential equation based, so most students get to combine elements of mathematical modelling in biology, together with the study of delay differential equations. The tools we use include mathematical modelling, (delay) differential equations, dynamical systems and numerical computation and analysis. Depending on the particular project you can also expect to spent some time reading and digesting the relevant primary scientific literature in physiology or biology.
I can supervise students in Mathematics and Statistics, Quantitative Life Sciences, and Physiology.
Potential graduate students must follow the application procedure as detailed on the appropriate websites at
but I would also be very happy to hear from you directly.
Potential postdocs whose research interests intersect with mine are encouraged
to apply to the CRM-ISM Postdoctoral Fellowship Programme,
but should also contact me directly if intending to name me as a potential supervisor. Note that the closing date is typically in December of the year before the fellowship is to start.
Undergraduates interested in (funded!) summer research should see my
USRA Projects page.
- Wendy Wang, PhD student, since Fall 2020
- Catherine Engert, MSc Student, since Fall 2023
- Maya Earn,
SURA Undergraduate Summer Research Student, Summer 2024, and Majors Research project Fall 2024.
- Laurence Ketchemen Tchouaga, Postdoctoral researcher, January to December 2023
- Daniel Camara de Souza, Postdoctoral researcher, January 2015 to January 2017, "A mathematical model of
mobilization and homing of human hematopoietic stem cells"
- Alexey Eremin, Postdoctoral researcher from September 2012 to August 2013.
- Renato Calleja, Postdoctoral researcher, August 2009 to August 2012. Visiting professor, Jan-Apr 2015. Adjunct member of the Department of Mathematics and Statistics since 2015.
- Brian Moore.
Postdoctoral Researcher, 1st October 2003 to 30th September 2005.
- Shaza Alsibaai, PhD, "Delay Differential Equation Modelling of Erythropoiesis and Iron Metabolism of Blood Donors", McGill 2024.
- Tyler Cassidy, PhD,
"On
the development and application of distributed delay equations to mathematical physiology", McGill 2019.
- Felicia Magpantay, PhD,
"On the stability
of a model state dependent delay differential equation", McGill 2012.
- Guillaume Lajoie, PhD student, Sept 2007 - Jun 2008, switched to math biology at U. Wash. Now at Université de Montreal.
- Paul Fenton, DPhil, "The Dynamics of Variable Time-Stepping Runge-Kutta
Methods", University of Sussex, 2003,
- Nick Christodoulou, DPhil, "Fixed and Variable Time-Stepping Numerical Methods for
Dynamical Systems", University of Sussex, 2002.
- Kate Abell, DPhil, "Analysis and Computation of the Dynamics of Spatially
Discrete Phase Transition Equations", University of Sussex, 2001.
-
Xiaotian Hua, Quantitative Life Sciences PhD lab rotation student, May-Aug 2023.
-
Khady Diagne, Quantitative Life Sciences PhD lab rotation student, Sep-Dec 2020.
-
Xi Yang, Quantitative Life Sciences PhD lab rotation student, Jan-Apr 2019.
- Luce Breuil, MSc, "Mathematical Modelling of Thyroid Hormone Dynamics during pregnancy and disease", McGill 2024
- Sam Bolduc-St-Aubin, MSc,
"Analysis and Numerical Analysis of Periodically Forced Delay Differential Equation Conceptual Climate Models", McGill 2023
- Wendy Wang, MSc,
"Dynamics of a State-Dependent Delay Model of Repressible and Inducible Operons", McGill 2020, joint supervision with Mike Mackey.
- Lifei Zhu, MSc, "Existence and Stability of Travelling
Waves for Discrete Nagumo Equations", McGill, 2006.
- Wei Wang, MSc, "On solutions of advanced-retarded
traveling wave equations arising in a neural field theory," McGill 2006.
- Roy Wilds, MSc, "A new
approach for obtaining Traveling Wave solutions to Lattice Differential Equations," McGill, 2006.
- Sophie Karovitch, Experimental Physiology Undergraduate Research Student,
"Mathematical Modelling of Transferrin in Iron Metabolism and Erythropoiesis", Fall 2023 and Winter 2024
- Kristin Ellerbeck, Experimental Physiology Undergraduate Research Student,
"Mathematical Modelling of the Erythropoietic Response to Hypoxia", Fall 2022 and Winter 2023
- Maharshee Karia, Majors Research project, Winter 2021, ``Simple Models of cardiac Optogenetics,''
(Second supervisor with Gil Bub (Physiology)).
- Jecy Yu, Experimental Physiology Undergraduate Research Student,
"Iron Metabolism and Erythropoiesis", Fall 2019 and Winter 2020.
- Anh Ho, Mathematical Modelling of Immune Response
to Acute Infection. Undergraduate Research Trainee, Summer 2019. Majors Research Project, Winter 2020.
- Peter Gillich, NSERC undergraduate summer research student and Honours Research
Project, Numerical Methods for Distributed Delay Differential Equations, Summer and Fall 2019.
- Julie-Alexia Dias, Undergraduate Research Trainee and Majors Research Project,
Mathematical Modelling of the combined kinetics of opioids and opioid receptor antagonists, Summer and Fall 2019.
- Jean Chillet, Undergraduate Honours Research Project, Roots of Rationally Reducible Characteristic
Equations, Winter 2019.
- Valentin Duruisseaux, Undergraduate Research Trainee,
Dynamics of the Mackey-Glass Equation, Summer 2017.
- Barbara Gravel, NSERC Undergraduate Summer Research Student, (jointly supervised with Fred Guichard (Biology)), 2017
- Mackenzie Pearson, Undergraduate Honours Research Project,
Numerical Methods for Distributed Delay Differential Equations with infinite delays, Winter 2015.
- Sean Sinclair, SURA Undergraduate Summer Research Student and Honours Research Project
"Numerical Methods for State-Dependent Distributed Delay Differential Equations ," 2014.
- Dongliang Zhang, SURA Undergraduate Summer Research Student and Honours Research Project
"Periodic Orbits of a Singularly Perturbed State Dependent DDE with independent delays," 2012.
- Nicolas Gonzalez, Undergraduate Summer Research Student and Honours Research Project,
"Numerical study of a class of differential equations with two linearly dependent state-dependent delays," 2012.
- Namdar Homayounfar, CAMBAM Undergraduate Summer Research Student 2012,
"The effect of timing of GCSF administration in neutrophil dynamics" (jointly supervised
with M. Mackey and J. Belair).
- Michael Snarski, Undergraduate Honours Research Project, "Periodic Orbits of a Singularly Perturbed Two State Dependent Delay Differential Equation", 2011.
- Namdar Homayounfar, Undergraduate Honours Research Project, "Computing
Periodic Orbits in a Family of State Dependent Delay Differential Equations", 2011.
- Emily Wall, SURA Summer Research Student and Honours Research Project 2011.
"Phase dynamics of coupled ecological systems." (jointly supervised with Fred Guichard (Biology)).
- Gabriel Provencher Langlois, Honours Research Project Summer 2011/Fall 2012,
"Dynamic hematological response to Thrombopoietin".
- Daniel Bernucci, Undergraduate Summer Research Student and Honours Research Project, "Singularly Perturbed Multiple
State Dependent Delay Differential Equations", 2010.
- Orianna DeMasi, Undergraduate Summer Research Student, "
Analysis and Numerical Analysis of State Dependent
Delay Differential Equations", 2009.
- Finn Upham, Undergraduate Summer Research Student, "Model Problems in State Dependent Delay Equations", 2008.
- Myriam Berube, McGill Undergraduate Summer Research Student, "Travelling Waves and Differential
Equations with Advances and Retards", 2004,