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.
Mechanisms of Life (AA1)
Scientists in Charge: Edda Klipp, Frank Noé, Christof Schütte
- AA1-6: Data-Driven Modeling from Atoms to Cells
Frank Noé, Cecilia Clementi, Christof Schütte
- AA1-8: Random Bifurcations in Chemical Reaction Networks
- 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
- AA1-17: Beyond Attractors: Understanding the Transient and Modular Behaviour of Boolean Networks
- AA1-18: Synchronization and Geometric Structures of Stochastic Biochemical Oscillators
Maximilian Engel, Felix Höfling, Stefanie Winkelmann
Successfully completed projects of Application Area 1 can be found here.
Nano and Quantum Technologies (AA2)
Scientists in Charge: Uwe Bandelow, Ralf Kornhuber, Barbara Zwicknagl
- 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
- AA2-12: 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
- AA2-17: Coherent Transport of Semiconductor Spin-Qubits: Modeling, Simulation and Optimal Control
Tobias Breiten, Markus Kantner, Thomas Koprucki
- AA2-18: Pareto-Optimal Control of Quantum Thermal Devices with Deep Reinforcement Learning
Successfully completed projects of Application Area 2 can be found here.
Next Generation Networks (AA3)
Scientists in Charge: Ralf Borndörfer, Martin Skutella
Successfully completed projects of Application Area 3 can be found here.
Energy Transition (AA4)
Scientists in Charge: Peter Karl Friz, René Henrion, 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
- AA4-12: Advanced Modeling, Simulation, and Optimization of Large Scale Multi-Energy Systems
- AA4-13: Equilibria for Distributed Multi-Modal Energy Systems under Uncertainty
Pavel Dvurechenskii, Caroline Geiersbach, Michael Hintermüller, Aswin Kannan
Successfully completed projects of Application Area 4 can be found here.
Variational Problems in Data-Driven Applications (AA5)
Scientists in Charge: Michael Hintermüller, Sebastian Pokutta
AA5 evolved from a merger of selected projects of the Emerging Fields Extracting Dynamical Laws from Complex Data (EF1) and Model-Based Imaging (EF3).