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

• AAA3-17: 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
• AA-Mobil-4: Oracle-based Primal Heuristics for Mixed-Integer Nonlinear Programming
  Timo Berthold, Sebastian Pokutta
• AA-Mobil-5: Tropical Geometry for Correlated Objectives in Multicriteria Decision Making
  Ralf Borndörfer, Sven Jäger, Georg Loho

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
• AA-Health-5: Self-Consistent Learning for Reliable Drug Kinetics
  Christof Schütte, Marcus Weber
• AA-Health-6: Equilibrium Generative Force Fields for Molecular Systems
  Frank Noé, Cecilia Clementi

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
  Christiane Becker, Sven Burger, Andrea Walther
• AA-Ener-4: Online Smart-Grid Scheduling
  Franziska Eberle, Alexander Lindermayr, Martin Skutella
• AA-Ener-5: Towards a Model-Based Understanding of Sodium-Ion Batteries
  Philipp Adelhelm, Falk Hante, Manuel Landstorfer

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
• AA-Tech-4: DOC-TWIN: Duality-Based Error Control for Optimal Control Problems in Digital-Twin-Based Structural Health Monitoring
  Michael Hintermüller, Alex N. Kaltenbach, Harbir Antil (associated)
• AA-Tech-5: Quantum Dipole Emitters in Nanophotonic Resonators
  Felix Binkowski, Sven Burger, Günter Kewes
• AA-Tech-6: Bayesian Optimal Design for Auto-Calibration of Spin-Qubit Shuttling in Disordered Si/SiGe Quantum Processors
  Martin Eigel, Markus Kantner, Lars Schreiber (associated)

Completed projects of Application Area Technology can be found here.

During the first funding period, MATH+ also run the following Application Area: 

Application Area 5 “Variational Problems in Data-Driven Applications” (2023 – 2025)