This is a growing list of lecture notes for courses I have taught in the past, as well as other notes which I have written for my own benefit and that of my students.
A set of notes on spinors from a modern perspective, emphasising the structure of Clifford algebras. These notes have been useful to me in my work on Eucliden supersymmetries and higher-dimensional instantons, not to mention supergravity.
A set of (very brief) notes on the calculus of variations aimed at Edinburgh mathematics students who have just finished their second year. They point to a set of notes on the divergence theorem written by my colleague Michael Singer for his course on PDEs.
A set of notes and problems on the theory of ordinary differential equations given several years running to third-year students in mathematics in Edinburgh.
A preliminary set of notes from a PG course on gauge theory.
A preliminary set of notes from a PG course on spin geometry.
A set of notes on Newtonian Mechanics from a second year course to Mathematics and Mathematical Physics students.
A collection of slides on Probability and Random Processes from a second year course to Informatics students.
Some of the notes here are the result of teaching I had to do, but by far not all. All PG teaching is done pro bono as a service to my students and because I find that the best way to (re)learn something is to teach it. The closer we can bring research and teaching, the better for everyone involved: the students and the teachers. Unfortunately there is little culture of PG teaching in the UK, and especially in Edinburgh; although it is starting to change.