Marc Troyanov

EPFL SB MATH GR-TR
MA B3 524 (Bâtiment MA)
Station 8
1015 Lausanne

Web site:  Web site:  https://sma.epfl.ch/~troyanov/

Web site:  Web site:  https://sma.epfl.ch/

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Publications

Other publications

Teaching & PhD

Teaching

Mathematics

Courses

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.

Differential geometry

This is a course on the classic differential geometry of curves and surfaces, mainly in the (pseudo)-Euclidean plane and three-space.

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.