Application Areas

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

• 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
• AA1-5: 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
• AA1-14: Development of an Ion-Channel Model-Framework for In-vitro Assisted Interpretation of Current Voltage Relations
  Jürgen Fuhrmann, Manuel Landstorfer, Barbara Wagner
• AA1-15: Math-Powered Drug-Design
  Konstantin Fackeldey, Christof Schütte, Vikram Sunkara, Christoph Stein, Marcus Weber, Stefanie Winkelmann
• AA1-16: Spatial Dynamics of Cell Signalling Explored with Agent-Based Modeling
  Edda Klipp, Rune Linding, Caren Tischendorf

Materials, Light, Devices (AA2)
Scientists in Charge: Uwe Bandelow, Ralf Kornhuber, Barbara Zwicknagl

• 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: Data-Driven Stochastic Modeling of Semiconductor Lasers
  Uwe Bandelow, Markus Kantner, Wilhelm Stannat, Hans Wenzel
• AA2-16: Tailored Entangled Photon Sources for Quantum Technology
  Sven Burger, Stephan Reitzenstein

Networks (AA3)
Scientists in Charge: Ralf Borndörfer, Martin Skutella

• 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
• AA3-5: 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
• AA3-12: On the Expressivity of Neural Networks
  Christian Haase, Martin Skutella
• AA3-13: Placing Steiner Points in Constrained Tetrahedrelizations
  Marc Alexa, Hang Si

Energy and Markets (AA4)
Scientists in Charge: Peter Karl Friz, René Henrion, 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
• AA4-4: Stochastic Modeling of Intraday Electricity Markets
  Dörte Kreher, Markus Reiß
• 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
• AA4-9: Volatile Electricity Markets and Battery Storage: A Model-Based Approach for Optimal Control
  Christian Bayer, Dörte Kreher, Manuel Landstorfer
• AA4-10: Modelling and Optimization of Weakly Coupled Minigrids under Uncertainty
  René Henrion, Dietmar Hömberg