Tobias Diez Photo

About Me

I am 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, Germany, 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 T.Diez@tudelft.nl.

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

Curriculum Vitae

Research Experience

Postdoctoral fellow (Working with Bas Janssens)

Since Feb. 2019
Delft University of Technology
Netherlands

Visiting Scholar (Working with Tudor Ratiu)

Shanghai Jiao Tong University
Oct. 2017 - Nov. 2017 Oct. 2016 - Nov. 2016
China
École Polytechnique Fédérale de Lausanne
Jan. 2015 - June 2015
Switzerland

Visiting Scholar (Working with Johannes Huebschmann)

Oct. 2013 - Apr. 2014
Université Lille 1
France

Education

Ph.D. student

2014-2019
University of Leipzig & Max Planck Institute for Mathematics in the Sciences
Germany
Thesis: Normal Form of Equivariant Maps and Singular Symplectic Reduction in Infinite Dimensions with Applications to Gauge Field Theory (supervised by Gerd Rudolph)

M.Sc. International Physics Studies Program

2011 - 2014
University of Leipzig
Germany
Thesis: Slice theorem for Fréchet group actions and covariant symplectic field theory (supervised by Gerd Rudolph)

B.Sc. Physics

2008 - 2012
University of Leipzig
Germany
Thesis: Geometric quantization and semiclassical approximation
(supervised by Gerd Rudolph)

School leaving examination (Abitur)

2008
F. A.-Brockhaus Gymnasium Leipzig
Germany

Publications

Theses

Talks

  
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