At various times I have taught mathematics at King's College, London University, at Lincoln College, Oxford, and for the Open University. Also, for several years I have given short courses in the Mathematics Department in Siena.
Since I have been at the University of Plymouth I have taught most of the elementary parts of pure mathematics, as well as algebraic topology, special relativity, and the history of mathematics. Also, I have supervised honours projects on graph theory, knot theory, the differential geometry of surfaces, Godel's Theorem, and twistor theory, among other things.
My teaching interests are very wide, but I particularly like geometry and topology, and in fact David Jordan and I have written a book called A Topological Aperitif, published by Springer-Verlag.
I have enjoyed giving schools masterclasses on ruler and compass constructions, and schools lectures (or even videoconferences) on knot theory and on non-periodic tessellations. In 2007 I gave the London Mathematical Society Popular Lectures, on Knots, of which a DVD is available.
For former Open University students of mine: here are the handouts from two of my evening lectures at M203 summer school. If you were not at the lecture, the handout will probably not be of any use.
