In this course, (taught joint with Uli Wagner), we offered a number of attractive topics based mostly on Matoušek's book. Namely, we went over the Borsuk-Ulam theorem, and its multiple applications including the proof of Kneser's conjecture, Helly's theorem etc.
tour of basic topology and convex geometry culminating in the introduction to Topological Data Analysis, including varous simplicial complexes (Čech, Vietoris-Rips, alpha), persistence, barcodes, persistent diagrams and introduction to useful pieces of software.
In this course, aimed at applied mathematician, we follow the Edelsbrunner-Harer book and establish basis of knowledge in order to uderstand Topologican Data analysis. the course also contained a number of students presentation on current research in TDA.
During my studies at Masaryk University, I've been a TA for multiple undergraduate and graduate courses in algebra, linear algebra, calculus and algebrauic topology. You can see the full list here.