Presentation
The Jacques Hadamard "à la carte" program aims to train students throughout the entire Master's programme (M1 + M2) and to provide them with the best possible conditions to undertake a doctoral thesis in all areas of mathematics. The entire course is completely "à la carte" and allows the selection of the most suitable courses from the offer of the Master of Mathematics at the University of Paris-Saclay. It therefore offers a very wide range of high-level courses in all areas of mathematics and allows students to discover from the inside the research activity in mathematics by confronting open and current problems.
Students are followed throughout the Master's degree by a mentor who, in consultation with the program director, supervises them and advises them on the courses best suited to their project.
Admissions procedure
All applications should be filled online. If you have the nationality of a country outside the european economic area but member of the Études en France agreement, then you need to apply on the Paris-Saclay applications website. Otherwise, you need to use the national website MonMaster.
Applications are open until March 24th 2025.
This programs targets the very best mathematics students. We only accept about 25 students per year.
Contacts and practical informations
Program director :
Administrative officer :
Adress :
Université Paris Saclay - Institut de Mathématique
Bâtiment 307 - Bureau 1C1 (1er étage)
91405 ORSAY CEDEX
Phone : +33 (0)1 69 15 79 91
Fax : +33 (0)1 69 15 57 94
Localisation :
Most lectures and exercises sessions take place in building 307 (Laboratoire de Mathématique, Campus d’Orsay), but there are exceptions.
Start of year 2025:
Masters's starter days will take place on September 2n and 3rd 2025 at Institut de Mathématiques d'Orsay (building 307).
Our start of term meeting for M1 will be on September 4th at 1:30pm in building 307.
Lectures will start on Monday 8th September.
Calendar 2025-2026:
Fall term: 8th September to december 10th
Mid-term exams: week of October 20st
Holidays: week of October 27th
Final exams: week of December 15th
Spring term first part: January 5th to April 17th
Mid-term exams: week of February 16th
Holidays: week of February 30th
Final exams: week of April 13th
Spring term second part: March 30st to June 12th (to be confirmed)
Mid-term exams: week of April 6th (to be confirmed)
Final exams: week of June 8th (to be confirmed)
Program
This is a "à la carte" program so, in principle, any course from the Master of mathematics of University Paris-Saclay (including M2 level courses) or from the école polytechnique fundamental maths M1 is accessible (after discussion with the program director). At least one course must be taken outside of Orsay in one our partner institution (ENS Paris-Saclay, École polytechnique or École Centrale).
It is important to understand that M1 level course in Orsay must be the main source of courses in this program. If you wish to attend mostly courses in École polytechnique or mostly M2 courses then you should apply to École polytechnique or to a M2 program respectively.
The following courses form the default menu. The English language course below should be replaced by a French language course if you are not fluent in French.
Note that M1 courses are taught in French.
Bloc 1
| Course title | Instructor | ECTS | Lectures | TD | TP | Cours/TD | Cours/TP | TD/TP | Projet | Tutorat |
|---|---|---|---|---|---|---|---|---|---|---|
| Distributions and Fourier Analysis | Dominique Hulin | 7.5 | 50h | 60h | ||||||
| Algebra | Jean-Benoit Bost | 7.5 | 50h | 60h | ||||||
| Advanced algorithms | Marc-Antoine Weisser | 2.5 | 10.5h | 10.5h | ||||||
| Graph algorithms | François Pirot | 2.5 | 10.5h | 10.5h | ||||||
| Langue | Philippe Jumel | 5 | 25h | |||||||
| MAO Option Calcul formel | Kevin Destagnol | 5 | 25h | 25h | ||||||
| MAO Option Calcul scientifique | Antoine Levitt, Bertrand Maury | 5 | 25h | 25h | ||||||
| MAO Option Probabilités-Statistiques | Paul Melotti | 5 | 25h | 25h | ||||||
| Mathématiques pour l'Intelligence articifielle | Gilles Blanchard | 5 | 48h | |||||||
| Probability Theory | Jean-François Le Gall | 7.5 | 50h | 60h | ||||||
| Signal Processing and Information Theory | Laurent Oudre | 5 | 20h | 20h | ||||||
| General topology and algebraic topology | Patrick Massot | 5 | 40h |
Bloc 2
| Course title | Instructor | ECTS | Lectures | TD | TP | Cours/TD | Cours/TP | TD/TP | Projet | Tutorat |
|---|---|---|---|---|---|---|---|---|---|---|
| Geometry | Frédéric Paulin | 7.5 | 50h | 60h | ||||||
| Lie groups for physics | Daniel Monclair | 5 | 24h | |||||||
| History of Mathematics | Norbert Verdier, Jean-Marie Coquard | 5 | 12h | 12h | ||||||
| Mathematical Logic | Franck Benoist | 5 | 50h | |||||||
| Mathématiques du traitement d’images | Gabriele Facciolo, Enric Meinhardt | 5 | 22h | 14h | 6h | |||||
| Number Theory | Frédéric Bourgeois | 7.5 | 50h | 60h | ||||||
| Evolution PDE's | Patrick Gérard | 7.5 | 50h | 60h | ||||||
| Mathematics for AI | Christophe Giraud | 5 | 48h | |||||||
| Optimisation et optimisation numérique | François Alouges | 7.5 | 33h | 24h | 12h | |||||
| Projet | Michel Rumin | 10 | ||||||||
| Statistics | Luca Ganassali | 5 | 48h |
Scholarships
Various scholarship fundings are available from:
- FMJH : both for French and foreign students
learn more
- IDEX Paris Saclay : for foreign students only
learn more
- « Mobility funding » Paris-Saclay : funding for internships abroad
learn more