Notes and theses

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.

Communication in Mathematics

Work-in-progress lecture notes for a one-semester course on writing in Mathematical English.

Differential Geometry

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

Dynamical Systems

Work-in-progress lecture notes for a two-semester course on Dynamical Systems. Topics covered include: topological dynamics, chaos theory, ergodic theory, hyperbolic and complex dynamics.

Gauge Theory

Work-in-progress lecture notes from a Student Seminar on Gauge Theory and Donaldson's Theorem. All the notes were written by the seminar participants.

Learning LaTeX

Work-in-progress! A short, opinionated and rather whimsical introduction to LaTeX, aimed primarily at undergraduate students.

Other Notes

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

Student Theses

Various projects written by previous students of mine at ETH.