M2RI Syllabus 2023-2024

BASIC COURSES (choose 4)
 

• A1. Algebraic and Differential Topology (F. Deloup) syllabus A1
• A2. Holomorphic Dynamical Systems (A. Chéritat) syllabus A2
• A3. Introduction to Algebraic Geometry (T. Dedieu) syllabus A3
• A4. Spectral theory (J. Royer) syllabus A4
• A5. Elliptic PDEs and Calculus of Variations (R. Ignat) syllabus A5
• A6. An introduction to the theoretical and numerical analysis of nonlinear conservation laws (F. Boyer) syllabus A6 
• A7. Convergence of probability measures, limit theorems and optimal transport (C. Pellegrini) syllabus A7
• A8. Stochastic calculus. (L. Coutin) syllabus A8
• A9. Asymptotic statistics and modeling. (P. Neuvial, F.Gamboa) syllabus A9
• A10. Approximation of PDEs (G. Haine, D. Matignon, S. Pernet, M. Salaün) syllabus A10
• A11. Advanced statistical methods (F. Simatos) syllabus A11
• A 12. MINT "inverted class" (P. Roesch, T. Fieldler) syllabus A12

ADVANCED COURSES (choose 2)
 

• B1. Introduction to Symplectic Topology (J. Gutt) syllabus B1
• B2. An Introduction to K-Theory and C* algebras (P. Carrillo-Rouse) syllabus B2
• B3. Reaction-Diffusion Equations (G. Faye, J.-M. Roquejoffre) syllabus B3
• B4. Scientific computing (J. Heleine) syllabus B4
• B5. Random Matrices and Applications (M. Capitaine, G. Cebron, G. Ben-Arous) syllabus B5
• B6. An Introduction to Sensitivity Analysis (A. Lagnoux, O. Roustant) syllabus B6

READING SEMINARS (choose 1)

• C1. Arithmetic of Elliptic Curves (S. Lamy, E. Hallouin) syllabus C1
• C2. Nonlinear Dispersive Equations (S. Le Coz) syllabus C2
• C3. From point processes to Hawkes processes (M. Costa) syllabus C3