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
- AA1-3: 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
- AA1-14: 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
Successfully completed projects of Application Area 1 can be found here.
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
Successfully completed projects of Application Area 2 can be found here.
Networks (AA3)
Scientists in Charge: Ralf Borndörfer, Martin Skutella
Successfully completed projects of Application Area 3 can be found here.
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
- AA4-7: 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
- AA4-11: Using Mathematical Programming to Enhance Multiobjective Learning
Aswin Kannan
Successfully completed projects of Application Area 4 can be found here.