This is a short series of post-graduate talks I gave at the Open University. There are five in total;

An introduction to dimension, particularly Hausdorff dimension

The dimension of the Julia set for functions in the exponential family

The dimension of the Julia set for transcendental entire functions in general

A Julia set of dimension one; an overview of Bishop’s paper

The size of the Julia set of functions outside the Eremenko-Lyubich class