This page contains a collection of notes I have written over the years, usually in the context of courses I've taken. Alas, I no longer get to take classes with any degree of regularity, so this page is unlikely to receive too many updates over time.

These notes were often written in a hurry in preparation for exams; you should therefore expect varying quality. They were never systematically proof-read. As with my teaching material you are welcome to use any of the material on this website, provided you reach out to let me know you're using it.

These are organized in rough chronological order.

Columbia Business School - First Year of the Doctoral Program in Decisions, Risk and Operations

University of Cambridge - Part III Mathematics/Certificate of Advanced Study in Mathematics/Masters of Mathematics

Work at MIT

University of Cambridge - Part IB Natural Sciences

University of Cambridge - Part IA Natural Sciences