The main research areas of the Laboratory are Differential Geometry and Topology and their Applications. The main directions of acivity are:

  • Global Riemannian Geometry, Spectral Geometry;
  • Riemannian and Pseudo-Riemannian Holonomy Groups;
  • Integral Geometry;
  • Geometrical Inverse Problems, Mathematical Tomography;
  • Semigroups of Linear Operators;
  • Applied Topology;
  • Topological Methods in Parallel Processing.

Seminar «Computational Geometry and Topology in Applications» works in the Laboratory.