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Study plan Master (4th and 5th years)

Official study plans

The official study plans and rules are available in excel and word formats at the web page Study plans and regulations of the school. In particular, you will find there the details about the lists. Indeed, below the lists are not always correctly displayed.

Study Plans

Mathematics - master program 2024-25

Block 1

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
HSS : Introduction to project
/ Section SHS
Divers enseignants
FR/EN
-
-
Winter session
3
HSS : Project
/ Section SHS
Divers enseignants
FR/EN
-
-
Summer session
3

Group 1

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Mathematics projects (master)
MATH-498 / Section MA
Profs divers
FR
  • Individual project: 10h
  • Individual project: 10h
Winter/Summer session
During the semester
10

Group 2

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Abstract analysis on groups
MATH-416 / Section MA
Monod
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Advanced analytic number theory (pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-521 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Algebraic geometry III - selected topics
MATH-535 / Section MA
Schlegel Mejia
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Algebraic geometry II - schemes and sheaves
MATH-510 / Section MA
Filipazzi, Mukhopadhyay
EN
  • Courses: 4h
  • Exercises: 4h
-
Winter session
Written
10
Applied biostatistics
MATH-493 / Section MA
Goldstein
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Applied statistics
MATH-516 / Section MA
Mhalla
EN
-
  • Courses: 1h
  • Exercises: 3h
  • a
Summer session
During the semester
5
Biostatistics
MATH-449 / Section MA
Stensrud
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Calculus of variations (Cours donné en alternance tous les deux ans)
MATH-437 / Section MA
Michelat
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Complex manifolds (Pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-473 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Computational linear algebra (pas donné en 2024-25)
MATH-496 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Computational linear algebra
MATH-453 / Section MA
Kressner
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Differential geometry IV - general relativity
MATH-530 / Section MA
Moschidis
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Diophantine approximation (pas donné en 2024-25)
MATH-540 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Dispersive PDEs (Cours donné en alternance tous les deux ans)
MATH-478 / Section MA
Krieger
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Distribution and interpolation spaces (Cours donné en alternance tous les deux ans)
MATH-502 / Section MA
Michelat
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Empirical processes
MATH-522 / Section MA
Limnios
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Ergodic theory
MATH-518 / Section MA
Richter
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Error control in scientific modelling
MATH-500 / Section MA
Herbst
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Foundations of probabilistic proofs
CS-459 / Section IN
Chiesa
EN
  • Courses: 4h
  • Exercises: 1h
-
  • a
Winter session
During the semester
6
Gaussian processes (pas donné en 2024-25)
MATH-426 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Gödel and recursivity (Cours donné en alternance tous les deux ans )
MATH-483 / Section MA
Duparc
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Harmonic analysis (pas donné en 2024-25. Cours donné en alternance tous les deux ans)
MATH-405 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Homotopical algebra (pas donné en 2024-25)
MATH-436 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
HPC for numerical methods and data analysis
MATH-505 / Section MA
Grigori
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Integer optimisation (pas donné en 2024-25)
MATH-504 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Introduction to dynamical systems
MATH-523 / Section MA
Krieger
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Introduction to riemannian geometry (pas donné en 2024-25)
MATH-422 / Section MA
FR
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Introduction to stochastic PDEs
MATH-485 / Section MA
Hairer
EN
-
  • Courses: 3h
  • Exercises: 2h
  • a
Summer session
Oral
5
Lattice models
MATH-434 / Section MA
Hongler
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Linear algebraic groups (Pas donné en 2024-25)
MATH-479 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Martingales in financial mathematics
MATH-470 / Section MA
Schmutz
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Mathematical modelling of behavior
MATH-463 / Section MA
Bierlaire
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Metric embeddings (Pas donné en 2024-25)
MATH-513 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Multivariate statistics
MATH-444 / Section MA
Panaretos
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Nonlinear Schrödinger equations (Pas donné en 2024-25)
MATH-514 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Nonparametric estimation and inference
MATH-524 / Section MA
Chandak
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Number theory II.a - Modular forms
MATH-511 / Section MA
Viazovska
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Number theory II.b - selected topics (Cours donné en alternance tous les deux ans)
MATH-417 / Section MA
Michel
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Number theory II.c - Cryptography
MATH-489 / Section MA
Jetchev
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Numerical integration of dynamical systems
MATH-452 / Section MA
Blumenthal
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Numerical integration of stochastic differential equations
MATH-450 / Section MA
Nobile
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Numerical methods for conservation laws
MATH-459 / Section MA
Licht
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Numerics for fluids, structures & electromagnetics (Pas donné en 2024-25. Cours donné en alternance tous les deux ans.)
MATH-468 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Optimal transport (Cours donné en alternance tous les deux ans)
MATH-476 / Section MA
Fernandez-Real
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Optimization on manifolds (Cours donné en alternance tous les deux ans.)
MATH-512 / Section MA
Boumal
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Probabilistic methods in combinatorics
MATH-467 / Section MA
Janzer
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Randomized matrix computations (Cours donné en alternance tous les deux ans)
MATH-403 / Section MA
Kressner
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Regression methods
MATH-408 / Section MA
Davison
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Representation Theory II - Lie groups and algebras
MATH-429 / Section MA
Negut
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Representation theory of semisimple lie algebras (pas donné en 2024-25 - Cours donné en alternance tous les deux ans )
MATH-492 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Riemann surfaces
MATH-410 / Section MA
Mornev
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Set theory
MATH-318 / Section MA
Duparc
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Spectral theory (Cours donné en alternance tous les deux ans.)
MATH-561 / Section MA
Genoud
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Statistical analysis of network data
MATH-448 / Section MA
Olhede
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical computation and visualisation
MATH-517 / Section MA
Mhalla
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
During the semester
5
Statistical inference
MATH-562 / Section MA
Davison
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical machine learning
MATH-412 / Section MA
Obozinski, Zemel
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical mechanics and Gibbs measures (Pas donné en 2024-25. Cours donné en alternance une année sur deux.)
MATH-486 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Statistical theory
MATH-442 / Section MA
Zemel
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Statistics for genomic data analysis (Cours donné en alternance tous les deux ans )
MATH-474 / Section MA
Goldstein
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Stochastic epidemic models (Pas donné en 2024-25)
MATH-560 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Stochastic simulation
MATH-414 / Section MA
Nobile
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Student seminar in pure mathematics
MATH-563 / Section MA
Wyss
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
During the semester
5
Theory of stochastic calculus
MATH-431 / Section MA
Duch
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Topics in arithmetic geometry (Pas donné en 2024-25)
MATH-494 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Topics in high-dimensional probability
MATH-519 / Section MA
Aru
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Topics in machine learning (Pas donné en 2024-25)
MATH-520 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
During the semester
5
Topics in stochastic analysis
MATH-487 / Section MA
Li
EN
  • Courses: 3h
  • Exercises: 2h
-
  • a
Winter session
Oral
6
Topology IV.a -Algebraic K-theory (pas donné en 2024-25)
MATH-488 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Topology IV.b - cohomology rings (Pas donné en 2024-25)
MATH-506 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Topology IV.b - homotopy theory
MATH-497 / Section MA
Scherer
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5

Master project

Courses
Language
MP Autumn
MP Spring
Specialisations/Orientations
Exam
Credits / Coefficient
Master project in Mathematics
MATH-599 / Section MA
Profs divers
FR/EN
  • Individual project: 900h
  • Individual project: 900h
Winter/Summer session
Oral
30