Differential Geometry

Lecture notes for a two-semester course on Differential Geometry. Topics covered include: smooth manifolds, vector bundles, differential forms, connections, Riemannian geometry.

Algebraic Topology

Lecture notes for a two-semester course on Algebraic Topology. Topics covered include: the fundamental group, singular homology and cohomology, Poincaré duality, fibrations.

Student Theses

Various projects written by previous students of mine at ETH.

Communication in Mathematics

Lecture notes for a one-semester course on writing in Mathematical English.

Other Notes

Some assorted older notes for other courses I've taught.