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 five Application Areas. Successfully completed projects can be found on the subsequent websites of the individual Application Areas.
Mobility (formerly AA3: Next Generation Networks)
Scientists in Charge: Ralf Borndörfer, Kai Nagel, Martin Skutella
- AA3-15: Convex Solver Adaptivity for Mixed-Integer Optimization
Mathieu Besançon, Ralf Borndörfer, Sebastian Pokutta - AA3-17: Efficient Algorithms for Quickest Transshipment Problems
Martin Skutella - AA3-19: The Value of Distributional Information
Franziska Eberle - AA-Mobil-1: Solution techniques for Mixed-Integer Nonconvex Optimization
Mathieu Besançon, Sebastian Pokutta - AA-Mobil-2: Unsplittable Flows
Martin Skutella, Philipp Warode - AA-Mobil-3: Dynamic Traffic Equilibria in Network Games and Simulation
Kai Nagel, Martin Skutella
Completed projects of Application Area Mobility can be found here.
Health (formerly AA1: Mechanisms of Life)
Scientists in Charge: Max von Kleist, Christof Schütte
- AA-Health-1: Trajectory Generator Matching with Applications to Time-Dependent Inverse Problems
Tim Jahn, Markus Reiß - AA-Health-2: Learning Fast and Accurate Long-Ranged Interactions in Multiscale Molecular Systems
Frank Noé, Cecilia Clementi - AA-Health-3: Randomization of Surrogate Models for the Quantification of Domain Uncertainty Propagation in Cardiovascular Models
Alfonso Caiazzo, Ana Djurdjevac, Francesco Romor - AA-Health-4: Modeling Synaptic Plasticity: A Data-Driven Approach to Neurotransmission Dynamics
Manuel Landstorfer, Christof Schütte, Stephan Sigrist, Stefanie Winkelmann
Completed projects of Application Area Health can be found here.
Energy (formerly AA4: Energy Transition)
Scientists in Charge: Peter Karl Friz, Falk Hante, Manuel Landstorfer
- AA4-14: Data-Driven Prediction of the Band-Gap for Perovskites
Claudia Draxl, Sebastian Pokutta, Daniel Walter, Andrea Walther - AA-Ener-1: Multiscale Cavities for Photonic Quantum Technologies
Felix Binkowski, Sven Burger, Stephan Reitzenstein - AA-Ener-2: Contract Design for Combinatorial Optimization Problems
Max Klimm, Philipp Warode - AA-Ener-3: Next Generation Perovskite Photovoltaic Devices
Chirstiane Becker, Sven Burger, Andrea Walther
Completed projects of Application Area Energy can be found here.
Technology (formerly AA2: Nano and Quantum Technologies)
Scientists in Charge: Michael Hintermüller, Markus Kantner, Barbara Zwicknagl
- AA2-20: Coarse-Graining Electrons in Quantum Systems
Frank Noé, Cecilia Clementi - AA-Tech-1: Anisotropic Microfluids — Fluctuations, Control, Effective Models and their Numerics
Benjamin Gess,Robert Lasarzik, Sandra May - AA-Tech-2: Large-Scale Tensorially Structured Data for Quantum Technologies and Beyond
Jens Eisert, Patrick Gelß, Michael Hintermüller - AA-Tech-3: Low-Rank Approximation in Bayesian Optimal Experimental Design
Robert Gruhlke
Completed projects of Application Area Technology can be found here.
Variational Problems in Data-Driven Applications (AA5) (2023-2025)
This Application Area will not be continued.
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).
- AA5-10: Robust Data-Driven Reduced-Order Models for Cardiovascular Imaging of Turbulent Flows
Alfonso Caiazzo, Jia-Jie Zhu, Leonid Goubergrits - AA5-11: Data-Adaptive Discretization of Inverse Problems
Tim Jahn
Completed projects of Application Area 5 can be found here.