Teaching

I am teaching a course on geometric group theory in the winter semester of 2025/6. The course will take place on Thursdays at 14.00-16.00 in the Kleiner Hörsaal in Wegelerstraße 10. I will try to upload notes as the course progresses.

Lecture 1: Group presentations, actions, Cayley graphs, and quasi-isometries.

Lecture 2: Quasi-geodesics, the Milnor-Schwarz lemma, classical hyperbolic geometry.

Lecture 3: Some more classical hyperbolic geometry, hyperbolic metric spaces, the Morse Lemma.

Lecture 4: Quasi-isometric invariance of hyperbolicity, local quasigeodesics in hyperbolic spaces, quasiconvexity.

Lecture 5: The boundary of a hyperbolic metric space, isometries of hyperbolic metric spaces.

Lecture 6: Hyperbolic groups, centralisers of elements, and finite subgroups.