Tobias Diez Photo

About Me

I am an Assistant Professor at the Shanghai Jiao Tong University. Before this, I was a post­doctoral fellow in the Analysis Group at Delft University of Technology, working with Bas Janssens.
In 2019, I completed my PhD at the University of Leipzig and the Max Planck Institute for Mathematics in the Sciences under the supervision of Gerd Rudolph.

If you want to get in touch with me, write me an email to research@tobiasdiez.de.

My Research

I am interested in the mathematical aspects of classical and quantum field theories. Symmetries and their fascinating occurrence throughout physics are the prevalent theme of my research.
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