Marc Troyanov

MA B3 524 (Bâtiment MA)
Station 8
CH-1015 Lausanne

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Teaching & PhD



PhD Programs

Doctoral Program in Mathematics


Advanced linear algebra II

The purpose of this course is to introduce the basic notions of linear algebra and to prove rigorously the main results of the subject.

Selected chapters of geometry

After dealing with the basic theory of curves and surfaces in the plane and the Euclidean space, we will study selected chapters: minimal surfaces, surfaces with constant mean curvature, caustics, hyperbolic geometry.

Introduction to riemannian geometry

Riemannian Geometry is one of the (or possibly the) most central subject in differential geometry and in contemporary geometry in general. The subject is very rich and this course is a basic introduction to the subject.

Topics in geometric analysis I

The subject deals with differential geometry and its relation to global analysis, partial differential equations, geometric measure theory and variational principles to name a few.

Topics in geometric analysis II

The goal of this course is to introduce the student to the basic notion of analysis on metric (measure) spaces, quasiconformal mappings, potential theory on metric spaces, etc. The subjects covered will vary each year.

Topics in geometric group theory

The goal of this course/seminar is to introduce the students to some contemporary aspects of geometric group theory. Emphasis will be put on Artin's Braid groups and Thompson's groups.