Geometry and topology

Modern geometry and topology study the shapes of multidimensional curved spaces, the different structures that they can carry, and theproperties of differential equations describing the phenomena taking place on these spaces. Geometry and topology are therefore linked in a natural way to many other fields of mathematics.

The research group in geometry and topology at the department focusses on subjects that were rapidly developing in the last decades: symplectic topology, gauge theory and Hamiltonian dynamics (along with their physical counterparts: quantization of classical systems, string theory, etc.), spectral geometry (spectral theory of differential operators on Riemannian manifolds), as well as algebraic and differential topology.

The professors working in this discipline are :