In summer 2025, I taught the course called "Elementare Zahlentheorie (LG, LM, LR)".
It included topics from basic number theory, like the Euclidean algorithm and the Fundamental Theorem of Arithmetic,
but explained them in a way that was easier for people without a maths background to understand.
This course is part of the training for future teachers in elementary and middle schools in Germany, who may or may not teach maths.
In the summer of 2021, during the pandemic, I created and recorded an original course, "Algebraic Topology II".
The course explores topics such as higher homotopy groups, 2-categories and homotopy pullbacks/pushforwards in them,
the Blakers–Massey and Mather’s Cube theorems, Brown representability, as well as principal G-bundles and characteristic classes.
Alexandra Pröls has typed the lecture notes
of this course based on
the video recordings.
In summer 2022, I taught this course again, now in the usual format.
Linus Götzfried has typed the lecture notes,
and also kindly made the TeX-source available here: TeX-files .
Please note that the lecture notes above have not been proof-read, so you should use them at your own risk.
As a part of the QED-Seminar in Regensburg (May 30 — June 2, 2025)
I gave two talks aimed at high school students and first and second year undergraduates,
explaining the basic problems of enumerative geometry and their solutions.