Algebraic topology notes for masters level course taught at Durham University, Michaelmas term of 2017–18. They’re rather slow paced and overly wordy, so I also made a distilled version — several students told me that they appreciated the extra detail though.
Minicourse notes, for three day mini-course topological methods in aperiodicity, lectured in Vienna 7th–9th June 2017. These were meant to supplement the lectures, so a lot of details are missing, but most of it should still make sense independently.
K-theory notes, a very brief (proofless) introduction to K-theory for C*-algebras, accompanying 1hr talk in the Glasgow Analysis Working Seminar.
Characteristic classes notes, an introduction to characteristic classes (mostly the Chern classes). These were reference notes for material I talked on over 2 lectures in the Glasgow Analysis Working Seminar.