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 National Centre of Competence in Research - NCCR SwissMAP .

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.
  • 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.
  • John STEINIG : Théorie analytique et théorie combinatoire des nombres.
  • 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 : Knots theory, small dimensional manifolds.
  • Yves-François PETERMANN : Analytic theory of numbers, autodescribed sequences, error analysis for multiprecision calculus.
  • Thierry VUST : Algebraic geometry.

Analysis, Mathematical physics and Probability

Faculty

  • Anton ALEKSEEV : Symplectic geometry, moment theory, mathematical physics.
  • Hugo DUMINIL-COPIN : Mathematical physics, combinatorics, probability theory.
  • Antti KNOWLES : 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.
  • Stanislav SMIRNOV : Analysis, mathematical physics, dynamical systems, probability.  
  • Andras SZENES : Topology, mathematical physics.
  • 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.