I currently teach:

Stochastic Processes and Finance (MAS352/61023)
Bayesian Statistics (MAS364/61006)

Selected material from older courses:

Theorems that are not Probability
Minicourse at LMS Undergraduate Summer School 2023.
Lecture notes

Statistical Inference and Modeling
Multivariate random variables, transformations of random variables, maximum likelihood.
Lectures notes, Example booklet, Exercises, Reference sheet of distributions

Martingale Theory with Applications
Conditional expectation, martingales, applications to stochastic processes.
Lecture notes, Problem Sheets

Itô Calculus and Complex Brownian motion
Itô calculus for semimartingales, planar Brownian motion, Picard's Little Theorem.
Lecture notes, Problem sheets