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Universität Regensburg
Fakultät für Mathematik
Lehrstuhl für Mathematik

Address 93040 Regensburg
Deutschland

GERiT This institution in GERiT

93040 Regensburg

Projects

Research Fellowships
- Completed projects
  - Cohomology of real-valued differential forms on Berkovich analytic spaces
    (Applicant Jell, Philipp )
  - Derived geometry and arithmetic
    (Applicant Bambozzi, Ph.D., Federico )
  - Die Spektren des Dirac- und des Laplace-Operators auf Riemannschen Mannigfaltigkeiten
    (Applicant Ammann, Bernd Eberhard )
Priority Programmes
- Current projects
  - Coordination Funds
    (Applicant Dolzmann, Georg )
  - SPP 2256: Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials
    (Spokesperson Dolzmann, Georg )
  - Variational modeling of parameter-dependent plasticity - relaxation approaches and numerical concepts
    (Applicants Dolzmann, Georg ; Hackl, Klaus )
- Completed projects
  - Analysis, Modellbildung und Simulation skalenübergreifender, mehrphasiger Erstarrung in Legierungssystemen
    (Applicant Garcke, Harald )
  - Beyond Spin bordism
    (Applicant Noel, Justin )
  - Diffuse interface models for transport processes at fluidic interfaces
    (Applicants Garcke, Harald ; Grün, Günther )
  - Geometric operators on singular domains
    (Applicants Ammann, Bernd Eberhard ; Große, Nadine )
  - Geometrische Indextheorie für Faserbündel mit Ecken
    (Applicant Bunke, Ulrich )
  - Geometrische und getwistete algebraische Topologie
    (Applicant Bunke, Ulrich )
  - Global Ricci and scalar curvature problems in semi-Riemannian geometry
    (Applicant Finster, Felix )
  - Multiple scales in phase separating systems with elastic misfit
    (Applicant Garcke, Harald )
  - Optimal control in cryopreservation of cells and tissues
    (Applicant Hoffmann, Karl-Heinz )
  - Optimization problems governed by Allen-Cahn and Cahn-Hilliard variational inequalities
    (Applicants Blank, Luise ; Garcke, Harald )
  - Phasenfeldmodellierung der Erstarrung in mehrkomponentigen und mehrphasigen Legierungssystemen
    (Applicant Garcke, Harald )
  - Self-adjointness of Laplace and Dirac operators on Lorentzian manifolds foliated by noncompact hypersurfaces
    (Applicant Finster, Felix )
  - Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids
    (Applicant Abels, Helmut )
  - Smooth extensions of generalized cohomology theories
    (Applicant Bunke, Ulrich )
  - Spectral geometry, index theory and geometric flows on singular spaces
    (Applicants Ammann, Bernd Eberhard ; Vertman, Boris )
Research Grants
- Current projects
  - Derivation and analysis of effective suspension models
    (Applicants Cobb, Dimitri ; Höfer, Richard ; Schubert, Richard )
  - Galois cohomology and invertible Morava motives
    (Applicant Sechin, Pavel )
  - Stable homotopy theory for topological algebras
    (Applicant Bunke, Ulrich )
  - Two-phase flows with bulk-surface interaction described by a Navier–Stokes–Cahn–Hilliard model with dynamic boundary conditions
    (Applicant Knopf, Patrik )
- Completed projects
  - Dirac Waves in the Kerr Geometry: Integral Representations, Mass Oscillation Property and the Hawking Effect
    (Applicant Finster, Felix )
  - Ein Fermionsystem in diskreter Raumzeit und sein Kontinuumslimes
    (Applicant Finster, Felix )
  - Lineare Hyperbolische Gleichungen in der Geometrie eines Schwarzen Loches
    (Applicant Finster, Felix )
  - p-adische Arakelov-Geometrie
    (Applicant Gubler, Walter )
  - Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids
    (Applicant Abels, Helmut )
  - Small eigenvalues of the Dirac operator, Surgeries and Bordism Theory
    (Applicant Ammann, Bernd Eberhard )
  - The standard model as gravity on a `non-associative' manifold
    (Applicant Farnsworth, Shane )
Research Units
- Completed projects
  - Analytical and numerical aspects of relaxation and regularization in models of crystal plasticity
    (Applicants Conti, Sergio ; Dolzmann, Georg )
  - Arithmetische Erweiterungen und Bierweiterungen für algebraische Zykel
    (Applicant Künnemann, Klaus )
  - Arithmetische Erweiterungen und ihre Ext-Gruppen
    (Applicant Künnemann, Klaus )
  - Harmonische Analysis und Zetafunktionen
    (Applicant Bunke, Ulrich )
  - Zetafunktionen und lokal symmetrische Räume
    (Applicant Mayer, Dieter )
Heisenberg Fellowships
- Completed projects
  - Stabile Homotopie und Arithmetic
    (Applicant Naumann, Niko )
Heisenberg Grants
- Current projects
  - Spaces associated to reductive groups in the non-archimedean case
    (Applicant Ziegler, Paul )
WBP Position
- Current projects
  - Geometric and homological complexity of groups
    (Applicant Li, Ph.D., Kevin )
Collaborative Research Centres
- Completed projects
  - Arithmetic Extension Classes Associated with Projective Structures
    (Project Head Künnemann, Klaus )
  - Aspects of Bordism Invariants
    (Project Heads Ammann, Bernd Eberhard ; Bunke, Ulrich ; Naumann, Niko )
  - Coarse Homotopy Theory
    (Project Heads Bunke, Ulrich ; Cisinski, Denis-Charles )
  - Derivators in Higher Category Theory
    (Project Heads Cisinski, Denis-Charles ; Noel, Justin ; Raptis, Georgios )
  - Differential Arithmetic Geometry
    (Project Heads Bunke, Ulrich ; Kings, Guido ; Raptis, Georgios ; Tamme, Georg )
  - Geometry for T-folds
    (Project Heads Bunke, Ulrich ; Nikolaus, Thomas )
  - Higher Categories of Correspondences
    (Project Heads Cisinski, Denis-Charles ; Hoyois, Marc ; Scheimbauer, Claudia )
  - Higher Nearby Cycles Functors and Grothendieck Duality
    (Project Heads Cisinski, Denis-Charles ; Hoyois, Marc )
  - Higher Structures in Functorial Field Theory
    (Project Heads Ludewig, Matthias ; Scheimbauer, Claudia )
  - Index Theory on Submanifold Complements
    (Project Heads Ammann, Bernd Eberhard ; Bunke, Ulrich ; Ludewig, Matthias )
  - Measurable group theory and L2-invariants
    (Project Heads Löh, Clara ; Lück, Wolfgang ; Sauer, Roman )
  - Motivic Homotopy Theory and Intersection Theory
    (Project Heads Cisinski, Denis-Charles ; Hoyois, Marc ; Kerz, Moritz )
  - Non-Archimedean Pluri-Potential Theory
    (Project Heads Gubler, Walter ; Künnemann, Klaus )
  - Research Training Group
    (Project Heads Ammann, Bernd Eberhard ; Bunke, Ulrich )
  - Simplicial Volume and Bounded Cohomology
    (Project Heads Friedl, Stefan ; Kings, Guido ; Löh, Clara )
  - Spectral Algebraic Geometry
    (Project Heads Naumann, Niko ; Noel, Justin )
  - Topological Aspects of Curvature Integrals
    (Project Heads Ammann, Bernd Eberhard ; Löh, Clara )
  - Tropical Approaches to Arakelov Theory
    (Project Heads Gubler, Walter ; Künnemann, Klaus )
WBP Fellowship
- Current projects
  - Rigidity and deformations of initial data sets subject to the dominant energy condition
    (Applicant Glöckle, Jonathan )
Research Training Groups
- Current projects
  - GRK 2339: IntComSin: Interfaces, Complex Structures, and Singular Limits in Continuum Mechanics - Analysis and Numerics
    (Spokesperson Grün, Günther )
- Completed projects
  - GRK 535: Groups and Geometry
    (Spokesperson Schick, Thomas )
  - GRK 1692: Curvature, Cycles and Cohomology
    (Spokesperson Bunke, Ulrich )
NFDI technical and methodological consortia
- Current projects
  - NFDI4ING – National Research Data Infrastructure for Engineering Sciences
    (Spokesperson Pelz, Peter F. )

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