Tobias Diez Photo

About Me

I am a PhD student at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany. My supervisor is Gerd Rudolph.

If you want to get in touch with me, write me an email to Tobias.Diez@mis.mpg.de.

My Research

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

Curriculum Vitae

Research Stays

Collaboration 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

Collaboration with Johannes Huebschmann

Oct. 2013 - Apr. 2014
Université Lille 1
France

Education

Ph.D. student

Since 2014
University of Leipzig & Max Planck Institute for Mathematics in the Sciences
Germany
Thesis: Singular symplectic reduction for Fréchet group actions and the Cauchy problem for the Yang–Mills equation (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

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