Professorships
Analysis
Analysis (Prof. Dr. Leonhard Frerick: Publications, Prof. Dr. Müller: Publications)
- Function theory: approximation in the complex, linear dynamical systems, Bergman spaces
- Functional analysis: continuation operators, Dirichlet series, non-local operators
Functional Analysis (Prof. Dr. Jochen Wengenroth: Publications)
- Theory and applications of locally convex spaces in distribution theory
- Categorical and homological methods in analysis
Applied Analysis (Prof. Dr. Olaf Post: Publications)
- Spectral and operator theory: convergence of operators in different Hilbert spaces; abstract boundary value problems
- Analysis of energy forms and Laplace operators on metric spaces such as discrete and metric graphs, fractals, and manifolds.
Numerics
Modeling and numerics (Prof. Dr. Nicole Marheineke: Publications)
- Model reduction, asymptotic and hierarchical modeling
- Numerics and optimization with ordinary, partial and stochastic differential equations
Optimization with partial differential equations (Prof. Dr. Schulz: Publications, PD Dr. Stephan Schmidt: Publications)
- Numerical optimization with ordinary and partial differential equations
- Shape optimization, optimal control problems, inverse problems
Optimization
Nonlinear Optimization (Prof. Dr. Martin Schmidt: Publications)
- Mixed integer nonlinear optimization
- Bilevel optimization and equilibrium models
Operations Research (Prof. Dr. Sven de Vries: Publications)
- Discrete, combinatorial and integer optimization
- Game theory: combinatorial auctions and mechanism design
Stochastics
Mathematical stochastics (Prof. Dr. Lutz Mattner: Publications, Prof. Dr. Bero Roos: Publications)
- Statistics: confidence intervals, optimality theory, applications
- Probability theory: approximations, stochastic orders, analytical tools
Stochastics (Prof. Dr. Frank Seifried: Publications)
- Stochastic processes and control theory
- Mathematical Economics and Finance
Current research projects
ALOP — Algorithmic Optimization
Research Training Group (RTG 2126)
| Funding agency | German Research Foundation (GRF) |
| Speaker | Prof. Dr. Volker Schulz |
| Principal Investigator | Prof. Dr. Nicole Marheineke, Prof. Dr. Leonhard Frerick, Prof. Dr. Georg Müller-Fürstenberger, Prof. Dr. Ralf Münnich, Prof. Dr. Martin Schmidt, Prof. Dr.Frank Thomas Seifried, Prof. Dr. Sven de Vries, Prof. Dr. Miriam Dür, PD Dr. Jan Pablo Burgard |
| Time frame | 2017 – 2025 |
Mathematical optimization is a discipline of high importance for economy, science, industry, policy support, and the public and private sector. Due to practical demand and the rise of computing capabilities, experts proficient in this field are needed in research and development. This research training group (RTG) therefore focuses on education in the field of algorithmic optimization.
Mathematik erFassen
| Funding agency | Dr. Wynfrith Riemer-Foundation |
| Speaker | Prof. Dr. Sven de Vries |
| Principal Investigator | Prof. Dr. Sven de Vries |
| Contributors | Ada-Lovelace-Projekt at Uni Trier |
| Time frame | 2019 – 2023 |
Research and develop exhibits for and organize math hands-on exhibitions in Trier in 2019 and 2023.
Mathematik erFassen
| Funding agency | Nikolaus Koch Foundation Trier |
| Speaker | Prof. Dr. Sven de Vries |
| Principal Investigator | Prof. Dr. Sven de Vries |
| Contributors | Ada-Lovelace-Projekt at Uni Trier |
| Time frame | 2019 – 2023 |
Research and develop exhibits for and organize math hands-on exhibitions in Trier in 2019 and 2023.
Difference schemes of high order of accuracy for solving boundary value problems in ordinary differential equations.
| Funding agency | VolkswagenFoundation |
| Speaker | Prof. Dr. Volker Schulz |
| Principal Investigator | Prof. Dr. Volker Schulz |
| Contributors | Khomenko, Nadiya |
| Time frame | 08/2022-07/2023 |
Difference schemes of high order of accuracy for solving boundary value problems in ordinary differential equations.
SOMICE
| Funding agency | DFG |
| Speaker | Prof. Dr. Volker Schulz |
| Principal Investigator | Prof. Dr. Volker Schulz |
| Contributors | Schlegel, Luca |
| Time frame | 08/2019-07/2023 |
SPP non-smooth systems and complementarity problems with distributed parameters, simulation and multi-level optimization: Shape Optimization for Mitigating Coastal Erosion.
Rodes
| Funding agency | BMBF |
| Speaker | Prof. Marc Pfetsch, TU Darmstadt |
| Principal Investigator | Prof. Dr. Martin Schmidt |
| Contributors | Lefebvre, Henri |
| Time frame | 11/2022 – 10/2025 |
This interdisciplinary project deals with the robust design of energy systems like electricity networks.
ElAN - Efficient local waste heat utilization in low-temperature networks
Funding agency | BMBF |
| Speaker | Prof. Dr. Nicole Marheineke |
| Principal Investigator | Prof. Dr. Nicole Marheineke |
| Contributors | Andrés Ortegón |
| Time frame | 2022 – 2025 |
The aim of the subproject is the development and analysis of structure-preserving approximations for low-temperature subgrids with fixed flow direction and their application in state estimation for model predictive control. The envisaged data (snapshot)-based reduction under compatibility conditions includes Galerkin projections for spatial discretization and model order reduction as well as complexity reduction for the nonlinearities.