International Master in Mathematical Physics

Welcome to the official page of the International Master in Mathematical Physics “Math4Phys”.

News

  • The application period for the Master for the year 2023-24 will soon be available here.
  • The pre-selection for the EIFFEL Scholarships is open until 20 November 2022. See below for more details. 

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.

The students admitted to the Master’s program will be considered for one of the available fellowships.

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
  • Introduction to TQFT

Guide to the Master Math4Phys

Further details on the Master including the description of the courses and a F.A.Q. can be found in the Guide to the Master Math4Phys 2022-23 (updated 2/7/2022).

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.

EIFFEL Scholarships

For information about the EIFFEL scholarships you can refer to Campus France and to the UBFC websites.

To apply to the pre-selection for the EIFFEL scholarships please send your CV, a transcript with the details of your academic record and a motivation letter to: math4phys@u-bourgogne.fr

The new session for the EIFFEL scholarships will open in October 2022.

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

Institutional support

Institut de Mathématiques de Bourgogne
Laboratoire de Mathématiques de Besançon