Teaching/Undergraduates
See my teaching and undergraduate research page.
Research
I joined the Applied Mathematics Group at
McGill in 2002, having previously been a Senior Lecturer at Sussex in England. I am also a member of
Interests
- Functional Differential Equations, including
- Advanced-Retarded Equations
- Boundary Value Problems
- Explicitly and Implicitly state-dependent problems
- Lattice Differential Equations
- Including travelling waves
- Numerical Analysis of Dynamical Systems and Delay Equations
- Numerical Solution of Differential Equations
List of publications.
Research Students & Postdocs
Potential postdocs are encouraged to apply to the CRM-ISM Postdoctoral Fellowship Programme,
see the ISM website for details (please
also send a copy of the full application to me, if you want to work with me).
Potential graduate students must follow the application procedure as detailed at the
McGill Mathematics website.
But if you are in or near Montreal, interested in working with me, and have a suitable
background, Id like to hear from you. I am particularly looking for students interested
in working on aspects of delay differential equations or mixed type equations (differential
equations with advances and delays).
Current Research Group:
- Alexey Eremin, Postdoctoral researcher from September 2012.
- Dongliang Zhang, SURA Undergraduate Summer Research Student and Honours Research Project
"Periodic Orbits of a Singularly Perturbed State Dependent DDE with independent delays.''
Undergraduate Student Research Award Projects.
Follow the link.
Past Students, Postdocs:
- Postdocs
- Renato Calleja, Postdoctoral researcher, August 2009 to August 2012.
- Brian Moore.
Postdoctoral Researcher, 1st October 2003 to 30th September 2005.
- PhD Students
- 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.
- 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.
- Masters Students
- 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.
- Undergraduates
- 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.''
- 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)).
- 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,
Conference Organising
- 14-16 July 2011 Delay Differential Equations in Applications: Common Themes and Methods, University of British Columbia, Canada.
Part of the Applied Mathematics Perspectives series of ICIAM 2011 satelite meeting workshops.
- 12-16 October 2009. Workshop on State Dependent Delay Equations, Max-Planck Institut, Dresden, Germany.
- June-December 2007. Chair of the organizing committee for the
CRM Thematic Semester on Applied Dynamical Systems.
Including six workshops, two Aisenstadt Chairs and two mini-courses and two advanced courses, including
- 25th April 2005 One Day Workshop on
Analysis and Computation of
Lattice, Delay and Functional Differential Equations.
- 26th-27th February 2005
The 2nd Montreal Scientific Computing Days
- 2004 CAIMS/CMS Meeting at Dalhousie, Halifax.
See the abstracts and talks from the Session on
- 7th-10th August 2001
Informal
Working Group on Dynamics of Numerics, part of the
Thematic Program on
Numerical and Computational Challenges in Science and Engineering
at the Fields Institute, Toronto.
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Seminars
There are many good seminar series in Montreal. A very partial list:
See L'Officiel for a more complete list of this and future
weeks seminars in Montreal.
Some Useful Resources
[Applied Mathematics]
[Mathematics and Statistics]
[McGill University]
[CRM Applied Mathematics Laboratory]
[CRM]
