## 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.

## 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

## Publications

- [1]
#### Central extensions of Lie groups preserving a differential form

T. Diez, B. Janssens, K.-H. Neeb, C. Vizman - [4]
#### Normal form of equivariant maps in infinite dimensions

T. Diez, G. Rudolph - [5]
#### Singular symplectic cotangent bundle reduction of gauge field theory

T. Diez, G. Rudolph - [8]
#### Realizing the Teichmüller space as a symplectic quotient

T. Diez, T.S. Ratiu - [9]
#### Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories

T. Diez, G. Rudolph - [10]
#### Slice theorem and orbit type stratification in infinite dimensions

T. Diez, G. Rudolph - [11]
#### Analyzing the Importance of JabRef Features from the User Perspective

M.K. Simon, L.W. Dietz, T. Diez, O. KoppFeb 2019In*Proceedings of the 11th Central European Workshop on Services and their Composition*(pp. 47-54) Bayreuth, Germany - [12]
#### Yang-Mills moduli spaces over an orientable closed surface via Fréchet reduction

T. Diez, J. Huebschmann

## Theses

## Talks

- [1]
#### Normal Form of Equivariant Maps in Finite and Infinite Dimensions

T. DiezJul 2021 - [2]
- [3]
#### Normal Form of Equivariant Maps in Infinite Dimensions

T. DiezDec 20202020 Winter Young Mathematician Forum abstract - [4]
#### Group-valued momentum maps for diffeomorphism groups

T. DiezSep 2020Junior Global Poisson Workshop abstract - [5]
#### Group-valued momentum maps for diffeomorphism groups and generalized Clebsch variables

T. DiezFeb 2020 - [6]
#### Normal Form of Equivariant Maps in Infinite Dimensions

T. DiezFeb 2020 - [7]
#### Group-valued momentum maps for automorphism groups

T. DiezJan 2020Utrecht Geometry Center Seminar abstract - [8]
#### Singular symplectic cotangent bundle reduction in infinite dimensions

T. DiezNov 2019 - [9]
#### Smooth Path Groupoids and the Smoothness of the Holonomy Map

T. DiezNov 2019 - [10]
#### Normal form of equivariant maps in infinite dimensions

T. DiezNov 2018 - [11]
#### Central extensions using holonomy preserving diffeomorphisms in infinite dimensions

T. DiezNov 2017Shanghai abstract - [12]
- [13]
- [14]
#### Normal form of momentum maps in infinite dimensions

T. DiezJun 2017Workshop Geometry and PDEs Timișoara - [15]
#### Singular symplectic reduction in infinite dimensions using the Nash-Moser theorem

T. DiezDec 2016 - [16]
#### JabRef and its architecture

T. Diez, O. Kopp, S. Harrer, J. Lenhard, S. Kolb, M. Geiger, O. Gustafsson, C. SchwentkerNov 2016 - [17]
#### Singular symplectic reduction in infinite dimensions using the Nash-Moser theorem

T. DiezOct 2016Shanghai abstract - [18]
#### Momentum maps for diffeomorphism and gauge groups

T. DiezJun 2016 - [19]
#### Yang-Mills moduli spaces over a surface via Fréchet reduction

T. DiezMar 2015 - [20]
- [21]
#### Slice theorem for Fréchet group actions

T. DiezJun 2014Master's Thesis Defence Leipzig

## Curriculum Vitae

2021

Assistant Professor

Shanghai Jiao Tong University, China

2021

2019-2021

2014-2019

Ph.D. student

University of Leipzig & Max Planck Institute for Mathematics in the Sciences, Germany

2014-2019

Thesis: Normal Form of Equivariant Maps and Singular Symplectic Reduction in Infinite Dimensions with Applications to Gauge Field Theory

Supervised by Gerd Rudolph

Supervised by Gerd Rudolph

2011-2014

M.Sc. International Physics Studies Program

University of Leipzig, Germany

2011-2014

Thesis: Slice theorem for Fréchet group actions and covariant symplectic field theory

Supervised by Gerd Rudolph

Supervised by Gerd Rudolph

2008-2012

B.Sc. Physics

University of Leipzig, Germany

2008-2012

Thesis: Geometric quantization and semiclassical approximation

Supervised by Gerd Rudolph

Supervised by Gerd Rudolph