Research
See also the complet list of faculty and reseachers and the Seminars, colloquiums, talks page.
and the page of the National Centre of Competence in Research - NCCR SwissMAP .
Algebra and Geometry
Faculty
- Anton Alekseev: Symplectic geometry, moment theory, mathematical physics.
- 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: Ergodic theory, groups theory and geometry.
- Grigory MIKHALKIN: Geometry and topology.
- Christophe PITTET, Geometry and analysis on Lie groups and their networks.
- Tatiana SMIRNOVA-NAGNIBEDA: Combinatorial, asymptotic and geometric group theory, probabilities on groups and graphs.
- Andras SZENES: Topology, mathematical physics.
- Paul TURNER: Algebraic topology, knot theory.
Research group
Emeritus professors
- Pierre DE LA HARPE: Géométrie des groupes et combinatoire, représentations unitaires et algèbres d'opérateurs.
- Claude WEBER : Théorie des noeuds, topologie.
Former members
- Goulnara ARJANTSEVA: 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.
- Cam Van QUACH HONGLER: Knot theory, small dimensional manifolds.
- Yves-François PETERMANN: Analytic theory of numbers, autodescribed sequences, error analysis for multiprecision calculus.
- Pavol SEVERA: Poisson geometry, mathematical physics.
- Thierry VUST: Algebraic geometry.
Analysis, Mathematical physics and Probability
Faculty
- Hugo DUMINIL-COPIN: Mathematical physics, combinatorics, probability theory.
- Alba GRASSI: Mathematical Physics, quantum field theory, string theory.
- Antti KNOWLES: Analysis, mathematical physics, probability theory.
- Rinat KASHAEV: Knot theory, hyperbolic geometry, mathematical physics.
- Aleksandr LOGUNOV: harmonic analysis, potential analysis, geometric analysis
- 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.
- Stanislav SMIRNOV: Analysis, mathematical physics, dynamical systems, probability.
- Andras SZENES: Topology, mathematical physics.
- Vincent VARGAS: Probability, Mathematical Physics, Statistical Mechanics, Quantum Field Theory
- Yvan VELENIK: Probability, mathematical physics.
Emeritus professors
- Jean-Pierre ECKMANN : Mathematical physics, partial differential equations, dynamical systems, graphs (networks).
- Jean-Claude HAUSMANN : 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
- Vincent BEFFARA: Percolation, SLE, statistical mechanics, systems of particles.
- Sacha FRIEDLI: Probability theory, statistical mechanics.
- Henri-Michel MAIRE: 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.
- Bart VANDEREYCKEN: Numerical analysis, High-dimensional PDEs, Computational differential geometry, Numerical linear algebra.
- Gilles VILMART: Numerical analysis, differential equations, geometric integration, numerical homogenization, stochastic differential equations.
Emeritus professors
- Ernst HAIRER: Numerical analysis, differential equations, differential-algebraic problems, geometric integration.
- Gerhard WANNER: Analyse numérique, analyse numérique des équations différentielles.
Former members
- Victorita DOLEAN: Numerical analysis, scientific computing, parallel computing, preconditioning, higher order discretizations.
- Felix KWOK: Numerical analysis, differential equations, parallel calculus, iterative methods and preconditioning, numerical linear algebra.