International Master program on Mathematical Physics

in Lyon for the academic year 2023/24


Mathematical Physics, as a discipline within mathematics, has two main pillars: First, a development and/or application of mathematical tools so as to describe physical systems in a mathematically correct way. Second, it is the invention of mathematics as inspired by ideas coming from physics. There is one more important branch of Mathematical Physics where "toy models" of physical theories are studied: for example, reducing the dimension of spacetime often permits one to obtain a mathematical analogue of a physical theory that is accessible to a much more profound mathematical study—while keeping some of the characteristic features of the original system. The proposed program reflects all these aspects.


One of us (T.S.) presented the Master program at the ENS Lyon in March 2023. Here are his slides.


The detailed program can be downloaded here.

Refresher courses (2 weeks):
  • Preparation for the basic course 1 (10 hours) — J. Kellendonk
  • Preparation for the basic courses 2 and 3 (20 hours) — E. Legendre, K. Niederkrüger
Basic courses (Fall 2023-2024):
  • Quantum Mechanics and Quantum Information Theory — G. Aubrun
  • Fiber Bundles in Differential Geometry and Gauge Theories — E. Legendre
  • Symplectic Geometry and Lie Groupoids — L. Ryvkin
Advanced courses (Spring 2024):
  • Topological Phases of Matter — J. Kellendonk
  • Quantum Field Theory and Renormalization — A. Frabetti
  • Seiberg-Witten Invariants — K. Niederkrüger
  • Poisson Sigma Models — T. Strobl

More Information and Contact

The official website administering all the mathematical advanced master programs in Lyon.

In case of questions please contact the program coordinator Thomas Strobl (

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