Welcome to the official page of the International Master in Mathematical Physics « Math4Phys ».

**About the Master**

The Department of Mathematics of the Université de Bourgogne, in Dijon, France, offers a Master’s degree in Mathematical Physics. The objective of the two-year program is to provide the students, within a mathematics curriculum, with a knowledge of the advanced mathematical methods of modern theoretical physics.

The program develops mathematical methods used in a wide range of topics in theoretical physics, such as quantum field theory, statistical mechanics, general relativity, gauge theories, string theory, etc. The coursework will cover different fields of mathematics (algebra, geometry, analysis) and will highlight their applications to the problems of contemporary theoretical physics.

The student will be integrated from the very beginning into the Mathematical Physics group of the Institut de Mathématiques de Bourgogne (IMB) and are expected to write a Master’s thesis during the second year.

Admitted students to the Master’s program can apply to one of the fellowships available.

All the lectures will be given in English.

**Courses**

**First semester:**

- Differential geometry
- Fourier analysis
- Ordinary differential equations
- Quantum physics

**Second semester:**

- Groups and representations
- Mathematical methods of classical mechanics
- Numerical methods for physics
- Partial differential equations

**Third semester:**

- Mathematical methods of quantum physics
- Riemann surfaces and integrable systems
- Lie groups and Lie algebras

**Fourth semester:**

- Quantum field theory
- Quantum groups
- Mathematical methods of gravitation

**Further information**

Further details on the Master 1 including the description of the courses and a F.A.Q. can be found in the Guide to the M1.

Entry requirements and applications

Students applying for the M1 should complete their undergraduate studies with major in Mathematics or Physics and should have a sufficient proficiency in English.

Students can apply directly to the second year (M2) if they have completed at least one year of graduate courses in Mathematics or Mathematical Physics.

All details about the application procedure can be found here.

Enquiries

For general enquiries about M1 or M2 write to: math4phys@u-bourgogne.fr

**Coordinators**

Guido Carlet (M1) guido.carlet@u-bourgogne.fr

José Luis Jaramillo (M1) jose-luis.jaramillo@u-bourgogne.fr

Nikolai Kitanine (M2) nikolai.kitanine@u-bourgogne.fr

**Address**

Institut de Mathématiques de Bourgogne

UMR CNRS 5584

Université de Bourgogne-Franche Comté

Faculté des Sciences Mirande

9 avenue Alain Savary

BP 47870

21078 Dijon Cedex

France