The MATH+ Application Areas are tailored toward mathematical research in interdisciplinary application fields. They support cross-institution research projects that involve mathematicians as well as leading experts of the respective field of application. The following list displays the research projects presently running in the four Application Areas:
Life Science (AA1)
Scientists in Charge: Edda Klipp, Frank Noé, Christof Schütte
- AA1-1: The spatio-temporal modelling of mechanisms underlying pain relief via the µ-opioid receptor
Martin Lohse, Marcus Weber, Christof Schütte, Christoph Stein - AA1-2: Learning Transition Manifolds and Effective Dynamics of Biomolecules
Péter Koltai, Stefan Klus, Gitta Kutyniok, Klaus-Robert Müller, Christof Schütte - AA1-3: Stochastic analysis of particle systems: Langevin dynamics and the Dean-Kawasaki model
Peter Karl Friz, Ralf Kornhuber, Nicolas Perkowski - AA1-4: Algebraic methods for investigating cell fate decisions
Heike Siebert, Christian Haase - AA1-5: Space-time stochastic models for neurotransmission processes
Christof Schütte, Stephan Sigrist, Stefanie Winkelmann - AA1-6: Data-driven Modeling from Atoms to Cells
Frank Noé, Christof Schütte - AA1-7: Yeast Mating in Space and Time
Edda Klipp
Materials, Light, Devices (AA2)
Scientists in Charge: Ralf Kornhuber, Alexander Mielke, Klaus-Robert Müller
- AA2-1: Hybrid Models for the Electrothermal Behavior of Organic Semiconductor Devices
Annegret Glitzky, Matthias Liero - AA2-2: Excitonic energy transport in conjugated polymer chains
Rupert Klein - AA2-3: Quantum-classical simulation of quantum dot nanolasers
Uwe Bandelow - AA2-4: Modeling and analysis of suspension flows
Volker Mehrmann, Dirk Peschka, Matthias Rosenau, Marita Thomas, Barbara Wagner - AA2-5: Data-driven Electronic Structure Calculations for Nanostructures
Thomas Koprucki, Alexander Mielke - AA2-6: Modeling and Simulation of multi-material electrocatalysis
Jürgen Fuhrmann, Manuel Landstorfer
Networks (AA3)
Scientists in Charge: Michael Joswig, Martin Skutella
- AA3-1: Proximity of LP and IP solutions
Martin Henk - AA3-2: Nash flows over time in transport and evacuation simulation
Kai Nagel, Martin Skutella - AA3-3: Discrete-Continuous Shortest Path Problems in Flight Planning
Ralf Borndörfer, Martin Weiser - AA3-4: Flow-Preserving Graph Contractions with Applications to Logistics Networks
Max Klimm, Torsten Mütze, Guillaume Sagnol, Martin Skutella - AA3-5: Tropical Mechanism Design
Michael Joswig, Max Klimm - AA3-6: Stochastic Scheduling with Restricted Adaptivity
Ralf Borndörfer, Guillaume Sagnol
Energy and Markets (AA4)
Scientists in Charge: Volker Mehrmann, Markus Reiß, Caren Tischendorf
- AA4-1: PDAEs with Uncertainties for the Analysis, Simulation and Optimization of Energy Networks
René Henrion, Nicolas Perkowski, Caren Tischendorf - AA4-2: Optimal control in energy markets using rough analysis and deep networks
Christian Bayer, Peter Karl Friz, John Schoenmakers, Vladimir Spokoiny - AA4-3: Equilibria for Energy Markets with Transport
Michael Hintermüller, Volker Mehrmann, Carlos Rautenberg - AA4-4: Stochastic modeling of intraday electricity markets
Dörte Kreher, Markus Reiss - AA4-5: Energy-based modeling, simulation, and optimization of power systems under uncertainty
Volker Mehrmann, Caren Tischendorf, Matthias Voigt - AA4-6: Simulation and optimization of integrated solar fuels and photovoltaics devices
Sven Burger, Bernd Rech