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 2024:
Masters's starter days will take place on September 2n and 3rd 2024 at Institut de Mathématiques d'Orsay (building 307).
Our start of term meeting for M1 will be on September 5th at 2pm in room 1A7 of building 307.
Lectures will start on Monday 9th September.
Calendar 2024:
Fall term: 9th September to december 20th
Mid-term exams: week of October 21st
Holidays: week of October 28th
Final exams: week of December 16th
Spring term first part: January 6th to April 18th
Mid-term exams: week of February 17th
Holidays: week of February 24th
Final exams: week of April 14th
Spring term second part: March 31st to June 13th
Mid-term exams: either week of April 5th or April 12th
Final exams: week of June 9th
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 | ||||||
| Évolution equations | Kléber Carrapatoso | 5 | ||||||||
| Algebraic geometry : Scheme Theory 2024-2025 | Emanuele Macri, David Harari | 17.5 | 50h | 25h | ||||||
| Groups, rings, modules and representations | Raphaël Beuzart-Plessis | 5 | ||||||||
| Symmetry groups in subatomic physics | Anne-Sophie De Suzzoni, Stéphane Munier | 5 | ||||||||
| 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 | ||||||
| Topological Data Analysis | Frédéric Chazal, Quentin Mérigot | 5 | 20h | |||||||
| Groups and Geometries 2024-2025 | Patrick Massot | 17.5 | 50h | 25h | ||||||
| Introduction to operator algebras | Claire Debord | 5 | ||||||||
| 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 | ||||||
| Dynamical systems | David Burguet | 5 | ||||||||
| Signal Processing and Information Theory | Laurent Oudre | 5 | 20h | 20h | ||||||
| Ergodic Theory 2024-2025 | Frédéric Paulin | 10 | 25h | 12.5h | ||||||
| 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 | ||||||
| Differential geometry and gauge theory | Rémi Leclercq | 5 | ||||||||
| Compact groups and Lie groups | David Renard | 5 | ||||||||
| Lie groups for physics | Daniel Monclair | 5 | 24h | |||||||
| Groups and Amenability 2024-2025 | Bruno Duchesne | 6 | 20h | |||||||
| History of Mathematics | Norbert Verdier, Jean-Marie Coquard | 5 | 12h | 12h | ||||||
| Introduction to algebraic geometry and elliptic curves | Nicolas Perrin | 5 | ||||||||
| Mathematical Logic | Franck Benoist | 5 | 50h | |||||||
| Mathématiques du traitement d’images | Gabriele Facciolo, Enric Meinhardt | 5 | 22h | 14h | 6h | |||||
| Topological Data Analysis | Frédéric Chazal, Quentin Mérigot | 5 | 20h | |||||||
| Number Theory | Frédéric Bourgeois | 7.5 | 50h | 60h | ||||||
| Wave equation and general relativity | Cécile Huneau | 5 | ||||||||
| Evolution PDE's | Patrick Gérard | 7.5 | 50h | 60h | ||||||
| Perverse sheaves and decomposition theorem | Mirko Mauri | 6 | ||||||||
| 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 | |||||||
| Decomposition theorem for Lagrangian fibrations | Mirko Mauri | 6.5 | ||||||||
| Spectral theory and quantum mechanics | Mathieu Lewin | 5 | ||||||||
| Algebraic topology of manifolds II: characteristic classes | Penka Georgieva | 6.5 |
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