Geometry and Quantum Theory (GQT)

Tobias Diez

I am a postdoctoral fellow in the Analysis Group at Delft University of Technology, working with Bas Janssens. I got my PhD from the University of Leipzig, Germany, and the Max Planck Institute for Mathematics in the Sciences, under the supervision of Gerd Rudolph.

My research is motivated by conceptual and mathematical problems of field theories. Symmetries and their fascinating occurrence throughout physics are the prevalent theme.

This translates into a broad spectrum of research interest:

  • infinite-dimensional symplectic manifolds with symmetries
  • moduli spaces of geometric structures
  • geometric quantization
  • representation theory of infinite-dimensional Lie groups
  • dynamics of infinite-dimensional Hamiltonian systems, especially in hydrodynamics and gauge theory