Exploratory Projects

In addition to the comprehensive projects (CP), the exploratory projects (EP) play an important role for the functioning and the development of the cluster. The format of EPs is completely flexible. Their scope ranges from focused projects that pursue ideas not (yet) represented in the CPs, collaborations that establish new links between researchers in different fields, joint workshop and group activities to explore and develop new interdisciplinary topics, to projects that link the cluster to other parts of academia.

Twice a year, we call for EP proposals to be submitted to the steering board of the cluster. Up to now, we have selected 32 EPs, which have been initiating a lot of activity in the cluster, providing innovative ideas and freshening our research.

Call Winter 2022/23

EP 8.1 - Tensor field theories as a pathway to strongly-coupled dynamics from first principles - Jürgen Berges, Razvan Gurau, Thimo Preis
EP 8.2 - Structures in dipolar quantum gases – fully quantum numerics towards new experimental observables - Lauriane Chomaz, Thomas Gasenzer
EP 8.3 - Quantum State Steering in an Ultracold Many Body System - Selim Jochim, Matthias Weidemüller, Maciej Gałka, Tobias Hammel, Maximilian Kaiser
EP 8.4 - Planet Formation Retrieval using Invertible Neural Networks - Victor Ksoll, Hubert Klahr, Thomas Henning, Remo Burn

Call Summer 2022

EP 7.1. Numerics and visualization in the three-body problem - Agustin Moreno, Peter Albers, Filip Sadlo
EP 7.2. Exploring Cosmic Structures through Gravitational Waves - Fabio D’Ambrosio, Lavinia Heisenberg, David Maibach
EP 7.3. From Koopman-von Neumann to Structure Formation - Tristan Daus, Elena Kozlikin, Matthias Bartelmann, Thomas Gasenzer
EP 7.4. New methods for single cell data analysis – a promising future direction for STRUCTURES? - Fred Hamprecht, Anna Marciniak-Czochra, Anna Wienhard
EP 7.5. Noncircular black holes in modified gravity: causal structure and thermodynamics - Timothy Anson, Lavinia Heisenberg, Carlos Pastor Marcos
EP 7.6. Hypothesis testing in PDE constrained regression problems - Jan Johannes, Anna Marciniak-Czochra
EP 7.7. Kinetic Field Theoretical approach to correlations in active matter models - Carsten Littek, Falko Ziebert, Matthias Bartelmann
EP 7.8. Physical Interpretation of Optimization Stages in Neural Network Quantum States - Markus Oberthaler, Stefanie Czischek
EP 7.9. Band structure effects in 2D materials and ultracold atoms - Richard Schmidt
EP 7.10. Planckian transport in strongly correlated bosons - Félix Rose, Tilman Enss
EP 7.11. Physics-Informed Machine Learning for Quantum State Tomography - Martin Gärttner, Christoph Schnörr

Call Winter 2021/22

EP 6.1. Reconstructions of potentials with neural differential equations: applications to cosmic inflation and dark energy - Björn Malte Schäfer
EP 6.2. Learning and predicting Covid-19 disease dynamics using dynamical systems reconstruction and Bayesian inference - Daniel Durstewitz, Stefan T. Radev, Ullrich Köthe, Cornelis Dullemond
EP 6.3. Universality of Structure Formation from Gaussian Random Fields - Sara Konrad, Matthias Bartelmann, Manfred Salmhofer

Call Summer 2021

EP 5.1. Persistent homology for big data - Freya Bretz, Guido Kanschat, Anna Wienhard
EP 5.2. Structure formation in driven Bose-Fermi mixtures - Lauriane Chomaz, Matthias Weidemüller, Tilman Enss, Manfred Salmhofer
EP 5.3. Emergent non-equilibrium phases in driven Rydberg systems - Martin Gärttner and Razvan Gurau
EP 5.4. Machine learning in density functional theory - Fred Hamprecht and Andreas Dreuw
EP 5.5. Critical behavior of epidemic models on distinct network topologies and applications to the study of brain disease - Ana P. Milan, Nicolo Defenu, Tilman Enss

Call Winter 2020/2021

EP 4.1. The semi-random method in the continuous world - Felix Joos
EP 4.2. Machine Learning and the Renormalisation Group - Lukas Kades, Ullrich Köthe, Jan M. Pawlowski, Manfred Salmhofer, Peter Sorrenson and Julian Urban
EP 4.3. Opinion Dynamics and Kinetic Field Theory - Carsten Littek and Matthias Bartelmann
EP 4.4. Magnetic Field Structures from Dust Polarization - On the Alignment Dynamics of Interstellar Dust - Stefan Reissl and Ralf Klessen
EP 4.5. Small-denominator problems and self-reinforcing singularities - Manfred Salmhofer
EP 4.6. Multilevel Monte Carlo for Lattice Field Theory - Robert Scheichl and Jürgen Berges
EP 4.7. Autocatalytic Reactions - Thomas Henning
EP 4.8. A new experimental platform for exploring self-organization in dipolar quantum gases - Lauriane Chomaz

Call Summer 2020

EP 3.1. Subriemannian Billiards - Peter Albers, Lucas Dahinden and Beatrice Pozzetti
EP 3.2. Zero-Sum Evolutionary Games and Convex Hamiltonian Systems - Gabriele Benedetti
EP 3.3. Geometrical and topological characterization of state spaces of high-dimensional dynamical systems inferred from empirical data - Daniel Durstewitz, Filip Sadlo and Anna Wienhard
EP 3.4. From the fine-structure features of stellar haloes to the assembly histories of their galaxies - Annalisa Pillepich
EP 3.5. "Singular Structures" in Models from Materials Science and Fluid Dynamics | Hysteresis, Interfaces and Non-Locality - Hans Knüpfer and Angkana Rüland

Call Winter 2019/2020

EP 2.1. Can Geometric Hydrodynamics meet Dynamical Data Analysis? - Peter Albers and Christoph Schnörr
EP 2.2. Bayesian parameter estimation for mathematical models of self-organization and biological pattern formation - Anna Marciniak-Czochra and Robert Scheichl
EP 2.3. Universality on Network Structures from Quantum Dynamics to Big Data - Nicolò Defenu, Tilman Enss and Matthias Weidemüller

Call Summer 2019

EP 1.1. Dynamics - Peter Albers, Ralf Klessen, Anna Marciniak-Czochra, Beatrice Pozzetti, Filip Sadlo, Manfred Salmhofer, Johannes Walcher and Anna Wienhard
EP 1.2. From nilpotence varieties to twisted supergravity: Towards holomorphic holography - Ingmar Saberi and Johannes Walcher
EP 1.3. Extending KFT in association with the WIN-College on Decisions by Collectives - Matthias Bartelmann and Carsten Littek
EP 1.4. Mathematics and Data - Anna Wienhard, Michael Bleher, Maximilian Schmahl and Daniel Spitz

Projects that started with STRUCTURES

EP A.1. Machine Learning in Astrophysics: Analysis of Young Stars - Ralf Klessen, Ullrich Köthe and Carsten Rother
EP A.2. Modeling Large Near-Fractal Pre-Planetary Dust Aggregates - Cornelis Dullemond, Guido Kanschat, Peter Bastian and Dieter Heermann
EP A.3. Hierarchical Data Representation and Analysis in Symmetric Spaces - Ullrich Köthe, Björn Ommer, Christoph Schnörr and Anna Wienhard
EP A.4. String Landscape Dynamics - Arthur Hebecker, Manfred Salmhofer and Johannes Walcher