Initial Training
Open to international studentsMaster's Degree, Year 1
Bachelor's degree (L3 or equivalent)
FrenchThe Jacques Hadamard M1 program is part of the "Mathematics and Applications" track of excellence at Paris-Saclay University.
The M1 Hadamard program at ENS kicks off with the master’s orientation days organized by the Jacques Hadamard Mathematical Foundation (FMJH) in early September. During these two days, students are offered mini-courses and presentations on current research in mathematics and its applications.
The M1 consists of 2 blocks. It is recommended not to take more than 4 course units (UE) in Period 1. Not all course units will be compatible due to scheduling constraints. Course units offered by École Polytechnique are subject to availability and have enrollment caps. They are available only subject to available space.
Mathematical Fundamentals Block
- Advanced Courses (15 ECTS): 2 course units (UE) worth 7.5 ECTS each, chosen from the following 3:
- Advanced Algebra, P1, Orsay
- Advanced Analysis, P1, Orsay (incompatible with Functional Analysis)
- Advanced Probability, P1, Orsay
- Cross-Disciplinary Skills (15 ECTS): 3 course units (UE) worth 5 ECTS each, chosen from the following 7:
- Functional Analysis, P1, ENS (incompatible with Advanced Analysis)
- Statistical Learning, P2, ENS
- Discretization of PDEs, P2, ENS
- Differential Geometry and the Calculus of Variations, P2, ENS
- Optimization and Numerical Optimization, P2, ENS
- Mathematical Statistics, P2, ENS
- Signal and Information Theory, P2, ENS
Mathematical Research Module
- Scientific Innovation (15 ECTS)
- English for Mathematical Publishing (2 ECTS), P2, ENS
- 13-week mathematics research project (13 ECTS), April–June
- Specialization (15 ECTS): 3 course units (UE) worth 5 ECTS each, chosen from options other than those previously selected.
- Functional Analysis, P1, ENS (incompatible with Advanced Analysis)
- Statistical Learning, P2, ENS
- Discretization of PDEs, P2, ENS
- Differential Geometry and the Calculus of Variations, P2, ENS
- Optimization and Numerical Optimization, P2, ENS
- Mathematical Statistics, P2, ENS
- Signal and Information Theory, P2, ENS
- General and Algebraic Topology, P1, Orsay (incompatible with Algebraic Topology)
- Algebraic Topology, P1, X (incompatible with General and Algebraic Topology)
- Social and Communication Networks: Probabilistic Models and Algorithms, P1, X
- Dynamic Systems, P1, X
- Dynamic Systems for Modeling and Simulation of Multiscale Reactive Media, P1, X
- Algebraic Number Theory, P1, X
- Game Theory, P1, X
- Optimal Control and Data Assimilation, P2, X
- Uncertainty Management and Risk Analysis, P2, X
- Compact Groups and Lie Groups, P2, X
- Introduction to Algebraic Geometry and Elliptic Curves, P2, X
- Stochastic Modeling for Biology, Ecology, and Evolution, P2, X
- Spectral Theory and Quantum Mechanics, P2, X
- Geometry, P2, Orsay (subject to conditions)
For details on courses in semesters 1 and 2, visit the Paris-Saclay University website.