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