Research Archive

Incubator Projects (2022)

MATH+ Incubator Projects were short-term 12-month projects that aimed to generate the potential for innovation. These projects were expected to have a high potential impact within the MATH+ Topic Development Lab by advancing fundamental mathematics or building new bridges within mathematics or with closely related disciplines. Incubator projects were expected to have a lasting impact in terms of new research directions and fields. Incubator Projects could only be applied for from 2019-2022.

 

In 2022, the following Incubator Projects were still active:

 

 

Incubator Projects (2020)

MATH+ Incubator Projects were short-term projects that aim to generate the potential for innovation. In a first round in 2020, Incubator Projects ran in two tracks:

 

Track A: Projects that progress theory by advancing fundamental mathematics or build new bridges within mathematics or with closely related disciplines. These projects have a high potential of impact within the MATH+ Topic Development Lab, preferably in conjunction with one of the past or future Thematic Einstein Semesters.

 

Track B: Interdisciplinary projects together with a strong partner from other scientific disciplines. These projects have a high potential of opening up novel perspectives on the fruitful interplay of mathematics with other disciplines.

 

Incubator projects were expected to have lasting impact in terms of new research directions and fields.

 

Track A

Track B

 

The success of the format of Incubator Projects is reflected by new research projects originating from them:

 

Transition Projects (2019)

The following former ECMath research projects were being continued until the end of 2019 with the aim to re-bundle research activities and possibly integrate them into the MATH+ research agenda:

 

Clinical Research and Health Care (CH)

  • CH12: Advanced Magnetic Resonance Imaging: Fingerprinting and Geometric Quantification
                Michael Hintermüller
  • CH14: Understanding Cell Trajectories with Sparse Similarity Learning
                Tim Conrad, Gitta Kutyniok, Christof Schütte
  • CH15: Analysis of Empirical Shape Trajectories
                Hans-Christian Hege, Tim J. Sullivan, Christian von Tycowicz
  • CH17: Hybrid Reaction-Diffusion / Markov-State Model of Systems with Many Interacting Molecules
                Frank Noé, Christof Schütte
  • CH18: Boundary-Sensitive Hodge Decompositions
                Konrad Polthier
  • CH20: Stochasticity Driving Robust Pattern Formation in Brain Wiring
                 Max von Kleist, Martin Weiser
  • CH21: Data-Driven Modelling of Cellular Processes and beyond
                Tim Conrad, Stefan Klus, Christof Schütte

 

Metropolitan Infrasctructure (MI)

  • MI-CH1: Robust Optimization of Load Balancing in the Operating Theatre
                    Guillaume Sagnol
  • MI7:   Routing Structures and Periodic Timetabling
               Ralf Borndörfer
  • MI8:   Understanding and Improving Traffic with Unknown Demands
               Max Klimm
  • MI10: Acyclic Network Flows
               Benjamin Hiller, Thorsten Koch, Martin Skutella
  • MI12: Dynamic Models and Algorithms for Equilibria in Traffic Networks
               Martin Skutella

 

Optical Technologies (OT)

  • OT9:   From Single Photon Sources to Tailored Multi-Photon States
               Sven Burger, Frank Schmidt
  • OT10: Model Reduction for Nonlinear Parameter-Dependent Eigenvalue Problems in Photonic Crystals
               Volker Mehrmann

 

Sustainable Energies (SE)

  • SE17: Stochastic Methods for the Analysis of Lithium-Ion Batteries
               Jean-Dominique Deuschel, Peter Friz, Clemens. Guhlke, Manuel Landstorfer
  • SE18: Models for Heat and Charge-Carrier Flow in Organic Electronics
               Annegret Glitzky, Matthias Liero
  • SE23: Multilevel Adaptive Sparse Grids for Parametric Stochastic Simulation Models of Charge Transport
                Sebastian Matera

 

Education and Outreach (EO)

  • EO2: Fostering Multipliers’ Noticing of Teachers’ Mathematics Learning by Means of Video Examples (NoTe)
              Bettina Rösken-Winter, Jürg Kramer