Research at the Section of mathematics
See also the complete list of faculty and reseachers and the Seminars, colloquiums, talks page.
and the page of the .
Algebra and Geometry
Faculty
- Michelle BUCHER : Geometry, topology, and group theory.
- Pierre-Alain CHERIX : Symplectic geometry, moment theory, mathematical physic.
- David CIMASONI : low dimensional topology, knot theory, mathematical physics, combinatorics.
- Anders KARLSSON : Ergotic theory, groups theory and geometry.
- Grigory MIKHALKIN: Geometry and topology.
- Christophe PITTET, Geometry and analysis on Lie groups and their networks.
- Pavol SEVERA : Poisson geometry, mathematical physics.
- Tatiana SMIRNOVA-NAGNIBEDA : Combinatorial, asymptotic and geometric group theory, probabilities on groups and graphs.
- Andras SZENES : Topology, mathematical physics.
- : Algebraic topology, knot theory.
Research group
Emeritus professors
- : Géométrie des groupes et combinatoire, représentations unitaires et algèbres d'opérateurs.
- John STEINIG : Théorie analytique et théorie combinatoire des nombres.
- Claude WEBER : Théorie des noeuds, topologie.
Former members
- : Geometric, combinatorial and algorithmic theories of groups, probabilistic methods for discrete groups.
- Pierre Paul GRIVEL : Algèbres de Leibniz; opérades.
- Nicolas MONOD : rigidity, ergodic theory, cohomology, geometric groups theory.
- : Knots theory, small dimensional manifolds.
- : Analytic theory of numbers, autodescribed sequences, error analysis for multiprecision calculus.
- : Algebraic geometry.
Analysis, Mathematical physics and Probability
Faculty
- : Symplectic geometry, moment theory, mathematical physics.
- Hugo DUMINIL-COPIN : Mathematical physics, combinatorics, probability theory.
- : Analysis, mathematical physics, probability theory.
- Rinat KASHAEV : Knots theory, hyperbolic geometry, mathematical physics.
- Marcos MARIÑO : Mathematical aspects of string theory and of quantum field theory, topological string theory, topological quantum field theory, quantum gravity, non-perturbative methods in quantum field theory.
- Sylvain SARDY : Statistics, optimisation.
- : Analysis, mathematical physics, dynamical systems, probability.
- Andras SZENES : Topology, mathematical physics.
- Yvan VELENIK : Probability, mathematical physics.
Emeritus professors
- : Mathematical physics, partial differential equations, dynamical systems, graphs (networks).
- : Topologie différentielle, géométrie hamiltonienne, notamment des espaces de configurations de polygones.
- Franz STREIT : Méthodologie statistique, analyse statistique des processus ponctuels, géométrie stochastique, statistique multivariée.
Former members
- Viviane BALADI
- : Percolation, SLE, statistical mechanics, systems of particles.
- Sacha FRIEDLI : Probability theory, statistical mechanics.
- : Hypoellipticity of differential systems, asymptotic behaviour of complex integral-fibers.
- Christian MAZZA
Numerical analysis
Faculty
- Martin GANDER : Numerical analysis, differential equations, parallel calculus, iterative methods and preconditioning, numerical linear algebra.
- : Numerical analysis, High-dimensional PDEs, Computational differential geometry, Numerical linear algebra.
- : Numerical analysis, differential equations, geometric integration, numerical homogenization, stochastic differential equations.
Emeritus professors
- : Numerical analysis, differential equations, differential-algebraic problems, geometric integration.
- : Analyse numérique, analyse numérique des équations différentielles.
Former members
- Victorita DOLEAN : Numerical analysis, scientific computing, parallel computing, preconditioning, higher order discretizations.
- : Numerical analysis, differential equations, parallel calculus, iterative methods and preconditioning, numerical linear algebra.