M2RI Syllabus 2025-2026

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LIST OF COURSES 2025/2026

BASIC COURSES (choose 4)

A1. Algebraic Topology (R. Campos) syllabus A1
A2. An introduction to hyperbolic and translation surfaces (C. Boissy) syllabus A2
A3. Introduction to Complex Analytic Geometry (D. Popovici) syllabus A3
A4. Introduction to Optimal Mass Transport (J. Bertrand) syllabus A4
A5. Introduction to Partial Differential Equations (M. Maris) syllabus A5
A6. An introduction to the theoretical and numerical analysis of scalar conservation laws (T. Crin-Barat and C. Negulescu) syllabus A6
A7. Convergence of Probability Measures and Introduction to Optimal Transport (F. Chapon) syllabus A7
A8. Stochastic calculus (S. Cohen) syllabus A8
A9. Asymptotic statistics (C. Lalanne, P. Neuvial) syllabus A9
A10. Approximation of PDEs (G. Haine, D. Matignon, S. Pernet and M. Salaün) syllabus A10
A11. Advanced statistical methods (B. Bobbia and F. Simatos) syllabus A11
A12. MINT "inverted class" The Dynamical System of Billards (P. Roesch) syllabus A12
A13. MINT course at ISAE on Controlled Dynamical Systems: Structured Modelling and Numerical Methods (A. Brugnoli, M. Fournié, G. Haine, D. Matignon and C. Poussot-Vassal) syllabus A13
A14. MINT course at INSA On biological science and climate modelling (F. Filbet and P. Noble) syllabus A14

ADVANCED COURSES (choose 2)

B1. Affine Surfaces, Homogeneous Vector Fields and Germs Tangent to the Identity (X. Buff) syllabus B1
B2. Introduction to Homotopy Theory (J. Bellier-Millès and J. Nuiten) syllabus B2
B3. Regularity Theory for Minimizing Harmonic Maps (P. Bousquet) syllabus B3
B4. Regularization of Ill-posed Inverse Problems and Applications (P. Maréchal) syllabus B4
B5. Branching Brownian motion and variants (P. Maillard and M. Pain) syllabus B5
B6. Robust Optimization and Statistical Learning (F. Iutzeler) syllabus B6

READING SEMINARS (choose 1)

C1. The spectrum of the Laplacian on hyperbolic surfaces (J.-P. Otal and M. Wolff) syllabus C1
C2. Scaling limits in statistical mechanics and Unique continuation for second order elliptic partial differential equations (M. A. Ferreira and J. Dardé) syllabus C2
C3. Entropy and Large Deviations (C. Pellegrini) syllabus C3

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