| Dr. Marcus R Garvie |
Graduate Student Opportunities :
(currently up to 2 MSc positions available)
Applying for graduate study
I am always interested in hearing from potential graduate students at either the PhD or
Masters level. Students interested in my work can get an idea of what I work on by reading
my papers. Bear in mind though
that in order to receive departmental funding you need to be a domestic student (permanent
resident of Canada). For specific details concerning applying for graduate study in the
Department of Mathematics & Statistics please contact our graduate secretary
(Susan McCormick, email: smccormi@uoguelph.ca).
There are many possible research projects, although projects can broadly be split into
Applied Analysis, Numerical Analysis, and Mathematical Biology.
Pure minded students
Pure minded students can study the analysis and numerical analysis of nonlinear reaction
diffusion equations in biology, physics, or some other area. This requires a background
in, or the willingness to
learn, Numerical Analysis; modern PDE theory including Sobolev spaces; Applied Functional
Analysis; and the mathematical theory of the Finite Element Method. Another possible area here
concerns the Optimal Control of nonlinear reaction-diffusion equations, for example, with
a view to estimating the key parameters in a model.
Applied minded students
Students who are more interested in applications can study mathematical models in
the biological sciences. This would suit a student with a good background in theoretical
ecology or biology, or a willingness to learn about such areas. The basic task here is to
use results from numerical algorithms to answer fundamental hypotheses in some
application area. Current areas of interest include Metapopulation Dynamics, Predator-Prey
interactions, and pattern formation in nonlinear reaction-diffusion equations.
Good programming skills would be necessary as the student would need to use/adapt/write
codes in Matlab.
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