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. Successfully completed projects can be found on the subsequent websites of the individual Application Areas.
Projects marked with an asterisk (*) are short-term one-year pilot projects.
Life Sciences (AA1)
Scientists in Charge: Edda Klipp, Frank Noé, Christof Schütte
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- AA1-1: The Spatio-Temporal Modelling of Mechanisms Underlying Pain Relief via the µ-Opioid Receptor
Martin Lohse, Christof Schütte, Christoph Stein, Marcus Weber, Stefanie Winkelmann
- AA1-2: Learning Transition Manifolds and Effective Dynamics of Biomolecules
Péter Koltai, Stefan Klus, 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, Cecilia Clementi, Christof Schütte - AA1-8: Random Bifurcations in Chemical Reaction Networks
Maximilian Engel - AA1-9: Polyhedral Geometry of Virus Capsids
Michael Joswig, Marta Panizzut, Bernd Sturmfels - AA1-10: New Methods for Inhibiting Sars-Cov2 Cell Entry
Frank Noé, Oliver Daumke - AA1-11*: Receptor Dynamics and Interactions in Complex Geometries: An Inverse Problem in Particle-Based Reaction-Diffusion Theory
Paolo Annibale, Martin Lohse, Christof Schütte - AA1-12*:Mathematical Modelling of Cellular Self-Organization on Stimuli Responsive Extracellular Matrix
Sara Checa, Ansgar Petersen, Barbara Wagner - AA1-13*: Predicting the Clinical Course of COVID-19 Patients
Marcus Weber, Tim Conrad
- AA1-1: The Spatio-Temporal Modelling of Mechanisms Underlying Pain Relief via the µ-Opioid Receptor
Materials, Light, Devices (AA2)
Scientists in Charge: Uwe Bandelow, Ralf Kornhuber, Barbara Zwicknagl
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- AA2-6: Modeling and Simulation of Multi-Material Electrocatalysis
Jürgen Fuhrmann, Manuel Landstorfer - AA2-7: Sparse Deep Neuronal Networks for the Design of Solar Energy Materials
Andrea Walther, Stephan Schmidt, Bernd Rech, Eva Unger - AA2-8: Deep Backflow for Accurate Solution of the Electronic Schrödinger Equation
Jan Hermann, Jens Eisert, Frank Noé - AA2-9: Variational Methods for Viscoelastic Flows and Gelation
Dirk Peschka, Matthias Rosenau, Marita Thomas, Barbara Wagner - AA2-10: Electro-Mechanical Coupling for Semiconductor Devices
Patricio Farrell, Annegret Glitzky, Matthias Liero, Barbara Zwicknagl - AA2-11: Multiscale Analysis of Exciton-Phonon Dynamics
Rupert Klein - AA2-12: Nonlinear Electrokinetics in Anisotropic Microfluids – Analysis, Simulation, and Optimal Control
Etienne Emmrich, Dietmar Hömberg, Robert Lasarzik - AA2-13*: Modeling and Optimization of Semiconductor Lasers for Quantum Metrology Applications
Uwe Bandelow, Markus Kantner, Hans Wenzel - AA2-14*: Chiral Light-Matter Interaction for Quantum Photonic Devices
Sven Burger, Stephan Reitzenstein - AA2-15*: Random Alloy Fluctuations in Semiconductors
Thomas Koprucki, Christian Bayer
- AA2-6: Modeling and Simulation of Multi-Material Electrocatalysis
Networks (AA3)
Scientists in Charge: Ralf Borndörfer, Martin Skutella
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- 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 - AA3-7: Beyond the Worst-Case: Data-Dependent Rates in Learning and Optimization
Sebastian Pokutta - AA3-8: The Tropical Geometry of Periodic Timetables
Ralf Borndörfer, Niels Lindner - AA3-9: Information Design for Bayesian Networks
Max Klimm - AA3-10*: Tropical Grassmannians and Scattering Amplitudes
Michael Joswig - AA3-11*: Flux Cones of Metabolic Networks
Alexander Bockmayr, Martin Henk
- AA3-2: Nash Flows over Time in Transport and Evacuation Simulation
Energy and Markets (AA4)
Scientists in Charge: Peter Karl Friz, René Henrion, Caren Tischendorf
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- 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 - AA4-7: Decision-Making for Energy Network Dynamics
Falk Hante, Michael Hintermüller, Sebastian Pokutta - AA4-8: Recovery of Battery Ageing Dynamics with Multiple Timescales
Martin Eigel, Martin Heida, Manuel Landstorfer
- AA4-1: PDAEs with Uncertainties for the Analysis, Simulation and Optimization of Energy Networks