I intend to run a PG/4th year course on representation theory. The course will run across the two semesters for a total length of time equal to that of a usual honours course. The course will meet twice a week, at Tuesday 11am in Carslaw 830, and Wednesday 1pm in Carslaw 707A The first meeting will be Tuesday 1 April. The course will start by covering the basics of the representation theory of algebras. Time permitting, it will then move to topics of more contemporary interest tailored to the interests and background of the audience.