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Mathematical Engineering

Plans d’études

Applied Mathematics 2026-27

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/EN
  • Individual project: 10h
  • Individual project: 10h
Winter/Summer session
During the semester
10

Internship

Courses
Language
Master 1
Master 2
MP Spring
MP Autumn
Exam
Credits / Coefficient
Engineering internship (master in Applied Mathematics) (Stage d'au minimum 17 semaines après le 2ème semestre de Master. Inscription par la bourse aux stages)
MATH-596 / Section MA
Profs divers
FR
  • Individual project: 680h
  • Individual project: 680h
  • Individual project: 680h
  • Individual project: 680h
Winter/Summer session
During the semester
30

Master project

Courses
Language
Master 1
Master 2
MP Spring
MP Autumn
Exam
Credits / Coefficient
Engineering internship credited with master project (master in Mathematical Sciences) (Stage d'au minimum 8 semaines à partir du 3ème semestre de Master. Inscription par la bourse aux stages)
MATH-597 / Section MA
Profs divers
FR
  • Individual project: 320h
  • Individual project: 320h
  • Individual project: 320h
  • Individual project: 320h
Winter/Summer session
During the semester
0
Master project in Mathematics
MATH-599 / Section MA
Profs divers
FR/EN
-
-
  • Individual project: 900h
  • Individual project: 900h
Winter/Summer session
Oral
30

Option 2b - Mathematics

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 2026-27 - 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
Descombes
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Algebraic geometry II - schemes and sheaves
MATH-510 / Section MA
Mukhopadhyay, Valloni
EN
  • Courses: 4h
  • Exercises: 4h
-
Winter session
Written
10
Calculus of variations (Cours donné en alternance tous les deux ans)
MATH-437 / Section MA
De Faveri
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Complex manifolds (Pas donné en 2026-27. Cours donné en alternance tous les deux ans)
MATH-473 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Concentration of measures (Pas donné en 2026-27)
MATH-496 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Convex geometric analysis
MATH-564 / Section MA
Tiba
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Differential geometry IV - general relativity (Pas donné en 2026-27)
MATH-530 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Diophantine approximation (Pas donné en 2026-27)
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
Braun
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Ergodic theory
MATH-518 / Section MA
Richter
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5
Euclidean and hyperbolic geometries
MATH-529 / Section MA
Huruguen
FR
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Geometry and dynamics of hyperbolic surfaces
MATH-541 / Section MA
Labourie
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
During the semester
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 (Cours donné en alternance tous les deux ans)
MATH-405 / Section MA
Palacios
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Heat kernel and analysis on manifolds
MATH-418 / Section MA
Braun
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Homotopical algebra (Pas donné en 2026-27)
MATH-436 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Introduction to dynamical systems (Pas donné en 2026-27)
MATH-523 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Introduction to random geometry (Pas donné en 2026-27)
MATH-531 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
During the semester
5
Metric embeddings (Pas donné en 2026-27)
MATH-513 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Nonlinear Schrödinger equations (Pas donné en 2026-27)
MATH-514 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Number theory II.b - Modular forms (Pas donné en 2026-27)
MATH-511 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Number theory II.c - Selected topics (Cours donné en alternance tous les deux ans)
MATH-417 / Section MA
Michel
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Representation theory III - infinite dim. algebras (Cours donnés en alternance tous les deux ans)
MATH-536 / Section MA
Negut
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
During the semester
5
Representation theory III - Quantum groups (Pas donné en 2026-27 - Cours donnés en alternance tous les deux ans)
MATH-534 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
During the semester
5
Riemann surfaces
MATH-410 / Section MA
Viglino
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
Student seminar in pure mathematics
MATH-563 / Section MA
Wyss
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
During the semester
5
Topology IV.a - Cohomology rings (Pas donné en 2026-27)
MATH-506 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Written
5
Topology IV.b - Algebraic K-theory
MATH-488 / Section MA
Hess Bellwald
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Oral
5
Topology IV.b - homotopy theory
MATH-497 / Section MA
Scherer
EN
-
  • Courses: 2h
  • Exercises: 2h
Summer session
Written
5

Options 2a - Applied mathematics

Courses
Language
Master 1
Master 2
Specialisations/Orientations
Exam
Credits / Coefficient
Advanced stochastic analysis (Pas donné en 2026-27)
MATH-525 / Section MA
EN
-
  • Courses: 3h
  • Exercises: 2h
  • a
Summer session
Oral
5
Algebraic methods in combinatorics (Pas donné en 2026-27 - Cours donné en alternance tous les deux ans)
MATH-526 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Applied biostatistics (Pas donné en 2026-27)
MATH-493 / Section MA
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
Pasche
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Cellular automata and models of artificial life (Pas donné en 2026-27)
MATH-527 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Computational linear algebra
MATH-453 / Section MA
Kressner
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Computational optimal transport (Pas donné en 2026-27)
MATH-528 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Empirical processes
MATH-522 / Section MA
Limnios
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Foundations of probabilistic proofs (Pas donné en 2026-27 - This course is a "depth" for Cyber Security master program and Cyber Security minor.)
CS-459 / Section IN
EN
  • Courses: 4h
  • Exercises: 1h
-
  • a
Winter session
During the semester
6
Functional data analysis (Cours donné en alternance tous les deux ans)
MATH-420 / Section MA
Panaretos
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Gaussian processes (Pas donné en 2026-27)
MATH-426 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
HPC for numerical methods and data analysis (Pas donné en 2026-27)
MATH-505 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Integer optimisation (Pas donné en 2026-27)
MATH-504 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Introduction to multi-scale stochastic dynamics
MATH-487 / Section MA
Li
EN
  • Courses: 3h
  • Exercises: 2h
-
  • a
Winter session
Oral
6
Introduction to stochastic PDEs
MATH-485 / Section MA
Hairer
EN
-
  • Courses: 3h
  • Exercises: 2h
  • a
Summer session
Oral
6
Intrusive and non-intrusive model reduction
MATH-537 / Section MA
Peherstorfer
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Kinetic and non-equilibrium conservation laws
MATH-532 / Section MA
Gorji
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Large deviations (Pas donné en 2026-27)
MATH-533 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Lattice models (Pas donné en 2026-27 - Cours donnés en alternance tous les deux ans)
MATH-434 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Martingales in financial mathematics
MATH-470 / Section MA
Schmutz
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Mathematical aspects of materials modelling
MATH-500 / Section MA
Herbst
EN
  • Courses: 2h
  • Exercises: 2h
-
Winter session
Oral
5
Mathematical modelling of behavior
MATH-463 / Section MA
Bierlaire
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Multivariate statistics
MATH-444 / Section MA
Pasche
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Nonparametric estimation and inference (Pas donné en 2026-27)
MATH-524 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Number theory II.d - 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
Oral
5
Numerics for fluids, structures & electromagnetics (Pas donné en 2026-27 *** 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
Colombo
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer 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 (Cours donnés en alternance tous les deux ans)
MATH-467 / Section MA
Vacat
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Probabilistic models of modern AI
MATH-415 / Section MA
Hongler
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
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
Written
5
Regression methods
MATH-408 / Section MA
Limnios
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Scientific machine learning
MATH-318 / Section MA
Peherstorfer
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Spectral theory (Cours donné en alternance tous les deux ans.)
MATH-561 / Section MA
Ventura
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter 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
Wang
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical machine learning
MATH-412 / Section MA
Limnios, Obozinski
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Statistical mechanics and Gibbs measures (Pas donné en 2026-27 - Cours donné en alternance une année sur deux.)
MATH-486 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Oral
5
Statistical theory (Pas donné en 2026-27)
MATH-442 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Statistics for genomic data analysis (Pas donné en 2026-27 - Cours donné en alternance tous les deux ans )
MATH-474 / Section MA
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
During the semester
5
Stochastic simulation
MATH-414 / Section MA
Nobile
EN
-
  • Courses: 2h
  • Exercises: 2h
  • a
Summer session
Written
5
Theory of stochastic calculus
MATH-431 / Section MA
Rowan
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5
Topics in high-dimensional probability (Pas donné en 2026-27)
MATH-519 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Oral
5
Topics in machine learning (Pas donné en 2026-27)
MATH-520 / Section MA
EN
  • Courses: 2h
  • Exercises: 2h
-
  • a
Winter session
Written
5