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.
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 - AA1-10: 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 - AA1-17: Beyond Attractors: Understanding the Transient and Modular Behaviour of Boolean Networks
Elisa Tonello - AA1-18: Synchronization and Geometric Structures of Stochastic Biochemical Oscillators
Maximilian Engel, Felix Höfling, Stefanie Winkelmann
- AA1-19: Drug Candidates as Pareto Optima in Chemical Space
Konstantin Fackeldey, Christof Schütte, Vikram Sunkara, Jörg Rademann, Marcus Weber, Stefanie Winkelmann - AA1-20: Geometric Learning for Single-Cell RNA Velocity Modeling
Daniel Baum, Tim Conrad, Christof Schütte, Vikram Sunkara, Christoph von Tycowicz
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
- AA2-8: Deep Backflow for Accurate Solution of the Electronic Schrödinger Equation
Jan Hermann, Jens Eisert, Frank Noé - 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
Paolo Erdman - AA2-19: Entanglement Detection via Frank-Wolfe Algorithms
Sébastien Designolle, Sebastian Pokutta - AA2-20: Coarse-Graining Electrons in Quantum Systems
Frank Noé, Cecilia Clementi - AA2-21: Strain Engineering for Functional Heterostructures: Aspects of Elasticity
Annegret Glitzky, Matthias Liero, Barbara Zwicknagl
Successfully completed projects of Application Area 2 can be found here.
Next Generation Networks (AA3)
Scientists in Charge: Ralf Borndörfer, Martin Skutella
- AA3-9: Information Design for Bayesian Networks
Max Klimm - AA3-12: On the Expressivity of Neural Networks
Christian Haase, Martin Skutella - AA3-15: Convex Solver Adaptivity for Mixed-Integer Optimization
Mathieu Besançon, Ralf Borndörfer, Sebastian Pokutta - AA3-16: Likelihood Geometry of Max-Linear Bayesian Networks
Carlos Enrique Améndola Cerón - AA3-17: Efficient Algorithms for Quickest Transshipment Problems
Martin Skutella - AA3-18: Evolution Processes for Populations and Economic Agents
Max Klimm, Maite Wilke Berenguer - AA3-19: The Value of Distributional Information
Franziska Eberle
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 - AA4-9: 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 - AA4-12: Advanced Modeling, Simulation, and Optimization of Large Scale Multi-Energy Systems
Volker Mehrmann - AA4-13: Equilibria for Distributed Multi-Modal Energy Systems under Uncertainty
Pavel Dvurechenskii, Caroline Geiersbach, Michael Hintermüller, Aswin Kannan - AA4-14: Data-Driven Prediction of the Band-Gap for Perovskites
Claudia Draxl, Sebastian Pokutta, Daniel Walter, Andrea Walther
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).
- AA5-2: Robust Multilevel Training of Artificial Neural Networks
Michael Hintermüller, Carsten Gräser - AA5-4: Bayesian Optimization and Inference for Deep Networks
Claudia Schillings, Vladimir Spokoiny - AA5-5: Wasserstein Gradient Flows for Generalised Transport in Bayesian Inversion
Martin Eigel, Claudia Schillings, Gabriele Steidl - AA5-6: Convolutional Proximal Neural Networks for Solving Inverse Problems
Gabriele Steidl, Andrea Walther - AA5-8: Convolutional Brenier Generative Networks
Hanno Gottschalk, Gabriele Steidl - AA5-9: LEAN on Me: Transforming Mathematics through Formal Verification, Improved Tactics, and Machine Learning
Sebastian Pokutta, Christoph Spiegel - 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
Successfully completed projects of Application Area 5 can be found here.