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Rheinische Friedrich-Wilhelms-Universität Bonn
Institut für Angewandte Mathematik

Address Endenicher Allee 60
53115 Bonn
Deutschland

GERiT This institution in GERiT

53115 Bonn

Projects

Research Grants
- Current projects
  - Derivation and analysis of effective suspension models
    (Applicants Cobb, Dimitri ; Höfer, Richard ; Schubert, Richard )
- Completed projects
Priority Programmes
- Current projects
- Completed projects
  - Analyse von Gibbsmaßen via partieller Integration und Quasi-Invarianz
    (Applicant Röckner, Michael )
  - Analyse von Gibbsmaßen via partieller Integration und Quasi-Invarianz
    (Applicant Albeverio, Sergio )
  - Domain structures and dynamics in Ferromagnetic shape memory materials: Theory and Experiment - Continuum models of magnetic shape memory materials: mathematics
    (Applicants Müller, Stefan ; Otto, Felix )
  - Fitness landscapes and adaptive dynamics
    (Applicants Bovier, Anton ; Krug, Joachim )
  - Homogenization of many particle systems
    (Applicant Niethammer, Barbara )
  - Mathematical Modeling and Simulation of Microstructured Magnetic-Shape-Memory Devices
    (Applicant Conti, Sergio )
  - Multiple scales in phase separating systems with elastic misfit
    (Applicant Niethammer, Barbara )
  - Multiscale folding patterns in thin elastic sheets
    (Applicant Conti, Sergio )
  - Multi-Scale Shape Optimization under Uncertainty
    (Applicants Conti, Sergio ; Rumpf, Martin ; Schultz, Rüdiger )
  - Neue mathematische Methoden zur Verknüpfung und Vervollständigung von in Raum und Zeit unregelmäßig aufgenommenen Straßenverkehrsdaten
    (Applicant Albeverio, Sergio )
  - Ricci flows for non-smooth spaces, monotonic quantities, and rigidity
    (Applicants Erbar, Matthias ; Sturm, Karl-Theodor )
  - Soft Ferromagnetic Films
    (Applicant Müller, Stefan )
  - Stochastische Analysis und Riemannsche Geometrie
    (Applicant Sturm, Karl-Theodor )
  - Untersuchung von Tieftemperaturphasen ungeordneter Modelle mit langreichweitiger Wechselwirkung
    (Applicant Bovier, Anton )
Research Units
- Completed projects
  - Analytical and numerical aspects of relaxation and regularization in models of crystal plasticity
    (Applicants Conti, Sergio ; Dolzmann, Georg )
  - Discrete and phase field models of dislocations and their macroscopic limits
    (Applicant Dondl, Patrick )
  - Effective interface models with gradient interactions and the Cauchy-Born rule at positive temperature
    (Applicants Deuschel, Jean-Dominique ; Luckhaus, Stephan )
  - Equilibrium and ageing in glassy systems
    (Applicant Bovier, Anton )
  - Herleitung effektiver Theorien für atomistisch dünne Röhren und Schichten
    (Applicant Müller, Stefan )
  - Intermittency phenomena in random media
    (Applicant Gärtner, Jürgen )
Heisenberg Fellowships
- Completed projects
  - Sreening and correlation effects in Ostwald Ripening; Elastic effects in phase transitions; grain growth in polycrystalline films
    (Applicant Niethammer, Barbara )
Research Fellowships
- Completed projects
Heisenberg Grants
- Current projects
  - Polynomial Techniques in Extremal Combinatorics
    (Applicant Sauermann, Ph.D., Lisa )
WBP Position
- Current projects
  - Stability and robustness issues for linear and nonlinear time delay systems
    (Applicant Aleksandrova, Ph.D., Irina )
Emmy Noether Independent Junior Research Groups
- Current projects
  - Constrained Willmore surfaces of normalized mean curvature: The large genus blowup
    (Applicant Scharrer, Ph.D., Christian )
Collaborative Research Centres
- Current projects
  - Central Task of the Collaborative Research Center
    (Project Head Rüland, Angkana )
  - Free boundary problems with nonlocal operators
    (Project Heads Niethammer, Barbara ; Velázquez, Juan José López )
  - Geometry and materials: rigidity, flexibility and scaling in some problems from materials science
    (Project Heads Müller, Stefan ; Rüland, Angkana )
  - Inverse problems and nonlinear PDEs
    (Project Heads Koch, Herbert ; Rüland, Angkana )
  - Inverse problems for genuinely nonlocal elliptic operators: uniqueness, stability and reconstruction
    (Project Head Rüland, Angkana )
  - Kinetic models in inhomogeneous settings
    (Project Heads Niethammer, Barbara ; Velázquez, Juan José López )
  - Modelling and simulation of cohesive fracture in solids
    (Project Heads Conti, Sergio ; Schweitzer, Marc Alexander )
  - Optimal design of curved folding structures in thin shells
    (Project Heads Conti, Sergio ; Rumpf, Martin )
  - Oscillatory integrals in random matrix models
    (Project Head Disertori, Margherita )
  - Random geometry, renormalization and curvature
    (Project Head Sturm, Karl-Theodor )
  - Random matrices and anticoncentration
    (Project Head Sauermann, Ph.D., Lisa )
  - Reconstructing cardiac electrical activation with learned spatiotemporal regularization on unstruc-tured grids
    (Project Head Effland, Alexander )
  - SFB 1720: Analysis of criticality: from complex phenomena to models and estimates
    (Spokesperson Rüland, Angkana )
- Completed projects
  - Ageing and slow dynamics
    (Project Head Bovier, Anton )
  - Analysis of multicomponent flows
    (Project Heads Conti, Sergio ; Frehse, Jens )
  - Analysis on collapsing manifolds and singular spaces
    (Project Heads Müller, Werner ; Sturm, Karl-Theodor )
  - Central Tasks of the Collaborative Research Center
    (Project Head Müller, Stefan )
  - Chaos: Stochastische und stabile Phänomene für Hamilton Systeme und deren Quantisierung
    (Project Head Albeverio, Sergio )
  - Classical and quantum kinetic equations
    (Project Head Velázquez, Juan José López )
  - Convergence of multi particle Monte Carlo methods for sampling and filtering
    (Project Heads Albeverio, Sergio ; Eberle, Andreas )
  - Discrete Riemannian calculus on shape space
    (Project Heads Rumpf, Martin ; Sturm, Karl-Theodor )
  - Dynamics of coagulation-fragmentation equations
    (Project Heads Niethammer, Barbara ; Velázquez, Juan José López )
  - Flows of probability measures and nonlinear stochastic evolutions
    (Project Head Sturm, Karl-Theodor )
  - From pair potentials to macroscopic plasticity
    (Project Heads Conti, Sergio ; Müller, Stefan ; Ortiz, Ph.D., Michael )
  - Hysteresis and microstructure in shape memory alloys
    (Project Heads Conti, Sergio ; Knüpfer, Hans ; Zwicknagl, Barbara )
  - Macroscopic limits of reinforced random walks
    (Project Head Velázquez, Juan José López )
  - Metastability
    (Project Heads Bovier, Anton ; Müller, Stefan )
  - Metastability in stochastic dynamics
    (Project Head Bovier, Anton )
  - Microskopic effects at fluid interfaces
    (Project Heads Alt, Hans Wilhelm ; Griebel, Michael )
  - Nonlinear sigma models
    (Project Head Disertori, Margherita )
  - Numerical optimization of shape microstructures
    (Project Heads Conti, Sergio ; Rumpf, Martin )
  - Optimal transport and random measures
    (Project Heads Huesmann, Martin ; Sturm, Karl-Theodor )
  - Pattern formation in magnetic materials
    (Project Heads Kurzke, Matthias ; Otto, Felix )
  - Random matrices and random surfaces
    (Project Heads Ferrari, Patrik L. ; Peltola, Eveliina )
  - Scaling limits of particle systems and stochastic interface dynamics
    (Project Heads Albeverio, Sergio ; Alt, Hans Wilhelm ; Eberle, Andreas )
  - Screening and long-range interactions in problems in materials science
    (Project Heads Niethammer, Barbara ; Velázquez, Juan José López )
  - SFB 1060: The Mathematics of Emergent Effects
    (Spokesperson Müller, Stefan )
  - Singulary perturbed variational problems from nonlinea elasticity
    (Project Head Conti, Sergio )
  - Skalenbildung singuläres Verhalten von Diffusionsprzessen
    (Project Heads Frehse, Jens ; Hamenstädt, Ursula )
  - Statistical mechanics for lattice models of elasticity
    (Project Heads Bovier, Anton ; Müller, Stefan )
  - Stochastic Processes with Variable Scaling Parameters
    (Project Heads Kaßmann, Rolf Moritz ; Sturm, Karl-Theodor )
  - Stochastische Analysis und Systeme mit unendlich vielen Freiheitsgraden
    (Project Head Albeverio, Sergio )
  - Stochastische Prozesse auf komplexen Strukturen, Homogenisierung und stochastische partielle Differentialgleichungen
    (Project Heads Albeverio, Sergio ; Sturm, Karl-Theodor )
  - Surface dynamics driven by embedded substances
    (Project Heads Alt, Wolfgang ; Alt, Hans Wilhelm )
  - Wasserstein geometry, Ricci curvature and geometric analysis
    (Project Heads Erbar, Matthias ; Kopfer, Eva ; Maas, Jan ; Sturm, Karl-Theodor )
  - Wavelet Methods for Systems of Operator Equations
    (Project Heads Griebel, Michael ; Kunoth, Angela ; Scherer, Karl )
Research Training Groups
- Completed projects
  - GRK 251: Stochastic Processes and Probabilistic Analysis
    (Spokesperson Scheutzow, Michael )
  - GRK 597: Analysis, Geometry and their Connection with the Natural Sciences
    (Spokesperson Rademacher, Hans-Bert )
  - GRK 1128: Analysis, Numerics, and Optimisation of Multiphase Problems
    (Spokesperson Griewank, Andreas )
Clusters of Excellence
- Completed projects
  - EXC 59: Mathematics: Foundations, Models, Applications
    (Spokesperson Sturm, Karl-Theodor )
  - EXC 1023: ImmunoSensation: The Immune Sensory System
    (Spokesperson Hartmann, Gunther )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2047: Hausdorff Center for Mathematics (HCM)
    (Spokespersons Blomer, Valentin ; Lück, Wolfgang ; Rumpf, Martin ; Schwede, Stefan )

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