Research at the Section of mathematics

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

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. 
  • 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.
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