My doctoral training was in the rigorous numerical analysis and mathematical analysis of parabolic partial differential equations using the finite element method. Most of my experience has been in the area of the numerics of reaction-diffusion equations using the standard Galerkin finite element method. The main application area is mathematical biology, with a focus on spatially extended predator-prey interactions in ecology. I have also worked in optimal control theory and studied diffusion-induced instability (Turing theory). For further details, please visit my website.
In addition to my research skills I have extensive teaching experience gained from secondary school level positions, teaching at the community college level, and also from the post of Mathematics Instructor at Arizona State University in the USA. I fully funded my PhD studies through teaching and in the UK I am a qualified teacher at the secondary school level. I enjoy teaching at all levels and at Guelph I currently teach large classes at the first year level in Business Mathematics and Linear Algebra. I also teach a large class (of mainly Engineers) at the 2nd year level in Numerical Methods. I have put a lot of effort into creating well-written workbooks for all my courses, so that my classes are now textbook-independent. I am also excited about the prospect of making my classes relevant to the real world, for example, by including applications and computer examples.