The lecturers of some of the graduate courses were kind enough to let me join their courses before enrolling in a postgrad degree (or maybe I just didn't correct their assumption...). Here is an overview.

I have also taken the liberty to add some comments on why these areas of study are interesting, how they came to be, as well as some connection to other subjects and applications. The courses roughly reflect my interest over time, starting with (algebraic) geometry/topology, over functional analysis and operator theory, and finally stochastic processes.