Geometry and the Mathematical Theory of Quantization


Main axes of research

  • Research Group Norbert Poncin: Homological algebra and algebraic topology, algebraic aspects in geometry, Lie algebraic approaches to (super)space, differential, Poisson and supergeometry, equivariant quantization, sigma models
  • Research Group Martin Schlichenmaier: Algebraic geometry, Kähler geometry, quantization, moduli space problems, infinite-dimensional Lie algebras, Conformal Field Theory, mathematical methods in Theoretical Physics
  • Research Group Ping Xu: Differential geometry, mathematical physics and applications, in particular symplectic and Poisson geometry, noncommutative geometry, Lie groupoids and Lie algebroids, differentiable stacks and twisted K-theory
  • Pierre Schapira (invited professor): Algebraic analysis and microlocal analysis, categories and sheaves, D-modules and analytic partial differential equations, deformation quantization on complex Poisson manifolds, applications of sheaf theory to symplectic topology

Current research projects

See web-page,

Resources and collaborations


  • Mathematical Documentation Centre with an extensive collection of mathematics books and mathematics journals (paper version and on-line)
  • Computer Algebra Systems

Products and services

  • Consultancy in the mathematical fields of expertise of the research group
  • Supplying well-trained university graduates in mathematics capable of analysing complex systems and finding optimal and universal solutions for problems appearing in technology, sciences, commerce and finance
  • PhD projects in collaboration with the industry
  • Master thesis in collaboration with internships in companies

Major partnerships and collaborations

Academic cooperation agreements on joint research exist with the Polish Academy of Sciences and the Russian Academy of Sciences (Steklov Mathematical Institute, Russia).

Member of several European Science Foundation (ESF) networking programmes.

Human resources

  • 12 Researchers (Prof., ass. Prof., Post-docs, PhD)
  • 6 Doctoral students and students
  • 0 Engineers
  • 0 Technicians
  • 1 Other

Business sector(s)

  • Mathematics


Geometry and the Mathematical Theory of Quantization
Campus Kirchberg, 6, rue Richard Coudenhove-Kalergi,.L-1359 Luxembourg
Phone: +352 46 66 44 66 76
Fax: +352 46 66 44 69 44

R&D Contact

Prof. Dr. PONCIN Norbert
Phone: +352 46 66 44 63 76

R&D Contact

Head of unit
Phone: +352 46 66 44 62 36

R&D Contact

Prof. Dr. XU Ping
Phone: +352 46 66 44 57 60

  • Updated 29-06-2015