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Universität Augsburg
Institut für Mathematik

Address Universitätsstraße 14
86159 Augsburg
Deutschland

GERiT This institution in GERiT

86159 Augsburg

Projects

Research Grants
- Current projects
  - AEI-DFG: Celestial Mechanics, Hydrodynamics, and Turing Machines
    (Applicants Cieliebak, Kai ; Frauenfelder, Urs )
  - Arnold's J^+-invariant in Hamiltonian dynamics
    (Applicant Frauenfelder, Urs )
  - Autonomous research for exploring structure-property linkages and optimizing microstructures
    (Applicants Kästner, Markus ; Peterseim, Daniel )
  - Computational Multiscale Methods for Inverse Estimation of Effective Properties of Poroelastic Tissues
    (Applicants Caiazzo, Alfonso ; Peterseim, Daniel )
  - Evaluation of diagnostic tests with spatially or temporally clustered data (ClusterDiag)
    (Applicants Rübsamen, Ph.D., Nicole ; Zapf, Antonia )
  - New results in stochastic homogenization of variational models
    (Applicant Ruf, Matthias )
  - On the analysis of a class of cross-diffusion Cahn-Hilliard systems
    (Applicant Marino, Ph.D., Greta )
  - Rabinowitz Floer Homology
    (Applicants Cieliebak, Kai ; Frauenfelder, Urs )
  - Resampling-based inference for causal effect estimates in time-to-event data
    (Applicants Beyersmann, Jan ; Friedrich-Welz, Sarah )
- Completed projects
  - Algebraic Structures on Symplectic Homology and Their Applications
    (Applicants Cieliebak, Kai ; Latschev, Janko )
  - Circle actions, positive scalar curvature and higher genera
    (Applicant Hanke, Bernhard )
  - Effective Theories and Energy Minimizing Configurations for Heterogeneous Layers
    (Applicant Schmidt, Bernd )
  - Foundations of Symplectic Field Theory
    (Applicant Cieliebak, Kai )
  - Inverse Problems for Drift-Diffusion Equations with Applications to Chemotaxis and Synthetic Nanopores
    (Applicant Pietschmann, Jan-Frederik )
  - MCMC-Schätzungen von COGARCH-Prozessen
    (Applicant Müller, Gernot )
  - Model Order Reduction for Elastic Multibody System with Moving Interactions
    (Applicants Eberhard, Peter ; Stykel, Tatjana )
  - Preasymptotic error analysis for function recovery problems in high dimensions
    (Applicant Ullrich, Tino )
  - Symplectic techniques in the restricted three body problem
    (Applicants Cieliebak, Kai ; Frauenfelder, Urs )
  - The lifted root number conjecture and the Galois structure of the unit group of a number field
    (Applicant Ritter, Jürgen )
Research Fellowships
- Completed projects
  - Topology of differentialble manifolds
    (Applicant Hanke, Bernhard )
Priority Programmes
- Current projects
  - Atomistic and continuum fracture models for nanorods: equilibria and dynamics
    (Applicant Schmidt, Bernd )
  - Coordination Funds
    (Applicant Hanke, Bernhard )
  - Novel Approaches for the Multidimensional Convexification of Inelastic Variational Models for Fracture
    (Applicants Balzani, Daniel ; Peter, Malte Andreas ; Peterseim, Daniel )
  - SPP 2026: Geometry at Infinity
    (Spokesperson Hanke, Bernhard )
- Completed projects
  - Adaptive isogeometric modeling of discontinuities in complex-shaped heterogeneous solids
    (Applicants Kästner, Markus ; Peterseim, Daniel )
  - Diffeomorphisms and the topology of positive scalar curvature
    (Applicants Ebert, Johannes ; Schick, Thomas ; Steimle, Wolfgang )
  - Hamiltonian chords of quantized action
    (Applicant Frauenfelder, Urs )
  - Index theoretic approaches to the classification of positive scalar curvature
    (Applicant Schick, Thomas )
  - Index theoretic approaches to the classification of positive scalar curvature
    (Applicant Hanke, Bernhard )
  - Positive scalar curvature at the intersection of global analysis, geometric topology and coarse geometry
    (Applicants Hanke, Bernhard ; Schick, Thomas )
  - Punctured Holomorphic Curves in Symplectic Geometry
    (Applicants Cieliebak, Kai ; Mohnke, Klaus )
  - Punctured Holomorphic Curves in Symplectic Geometry
    (Applicant Mohnke, Klaus )
  - Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds
    (Applicants Hanke, Bernhard ; Tuschmann, Wilderich )
  - The symplectic vortex equations and applications
    (Applicant Cieliebak, Kai )
Heisenberg Grants
- Current projects
  - Low-rank Models and Multilinear Optimization
    (Applicant Uschmajew, Andre )
Collaborative Research Centres
- Completed projects
  - Analysis and computation of stability exponents for port-Hamiltonian delay differential-algebraic equations
    (Project Heads Mehrmann, Volker ; Stykel, Tatjana )
Research Units
- Current projects
  - FOR 5387: Printed & Stable Organic Photovoltaics from Non-Fullerene Acceptors
    (Spokesperson Deibel, Carsten )
  - Phase field methods, parameter identification and process optimisation
    (Applicants Herzog, Roland ; Pietschmann, Jan-Frederik ; Stoll, Martin )

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