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Universität Münster
Fachbereich 10 - Mathematik und Informatik
Mathematisches Institut

Address Einsteinstraße 62
48149 Münster
Deutschland

GERiT This institution in GERiT

48149 Münster

Projects

Research Fellowships
- Completed projects
Heisenberg Fellowships
- Completed projects
  - 1. Die Farrell-Jones-Vermutung 2. Die Atiyah-Vermutung für L2-Bettizahlen 3. Feldtheorien und von-Neumann-Algebren
    (Applicant Bartels, Arthur )
  - Entwicklung allgemeiner Konstruktionsverfahren für Riemannsche Metriken mit gewissen Krümmungseigenschaften
    (Applicant Böhm, Christoph )
  - Local G-shtukas and Shimura varieties
    (Applicant Viehmann, Eva )
  - Mathematik
    (Applicant Kramer, Linus )
Priority Programmes
- Current projects
  - A unified approach to Euclidean Buildings and symmetric spaces of non-compact type
    (Applicants Kramer, Linus ; Schwer, Petra Nora )
  - Duality and the coarse assembly map
    (Applicants Wulff, Christopher ; Zeidler, Rudolf )
- Completed projects
  - Actions of Algebraic Groups, Fans and Tilting Modules
    (Applicant Hille, Lutz )
  - Alexandrov Geometry in the light of symmetry and topology
    (Applicant Zarei, Masoumeh )
  - Algebraische Invarianten komplexer Varietäten
    (Applicant Hamm, Helmut Arend )
  - Classification of isoparametric hypersurfaces
    (Applicant Kramer, Linus )
  - Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings
    (Applicants Kramer, Linus ; Schwer, Petra Nora )
  - Coordination
    (Applicant Lohkamp, Joachim )
  - Diffeomorphisms and the topology of positive scalar curvature
    (Applicants Ebert, Johannes ; Schick, Thomas ; Steimle, Wolfgang )
  - Representations whose orbit spaces have boundary
    (Applicant Wilking, Burkhard )
  - Scalar Curvature Contents
    (Applicant Lohkamp, Joachim )
  - SPP 1154: Global Differential Geometry
    (Spokesperson Lohkamp, Joachim )
  - Topological and equivariant rigidity in the presence of lower curvature bounds
    (Applicants Galaz-García, Fernando ; Kerin, Martin )
Research Grants
- Current projects
  - Galois moduli and modular Hecke algebras
    (Applicant Große-Klönne, Elmar )
  - Geometric methods in the p-adic local Langlands program
    (Applicant Scholze, Peter )
  - Geometry and Topology of Artin Groups
    (Applicant Kramer, Linus )
- Completed projects
  - Amenability, structure and regularity of group actions on C*-algebras
    (Applicant Gardella, Ph.D., Eusebio )
  - Analogie p-divisibler Gruppen in der Arithmetik von Funktionenkörpern und deren Anwendungen
    (Applicant Hartl, Urs )
  - Exceptional Groups and Geometrical Structures
    (Applicant Kramer, Linus )
  - Floer homological methods in symplectic geometry and applications
    (Applicant Kang, Jungsoo )
  - Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II
    (Applicant Thürigen, Johannes )
  - Polar representations: Kac-Moody groups and the topology of buildings
    (Applicant Kramer, Linus )
  - Right-Angled Buildings and Locally Compact Groups
    (Applicant Kramer, Linus )
Scientific Networks
- Completed projects
  - String-Geometrie: höhere differentialgeometrische Methoden zur Untersuchung von klassischen, differential-geometrischen und topologischen Aspekten von String-Mannigfaltigkeiten
    (Applicant Nikolaus, Thomas )
Heisenberg Grants
- Current projects
  - Comparison and rigidity for scalar curvature
    (Applicant Zeidler, Rudolf )
Collaborative Research Centres
- Current projects
  - Analytic and topological torsion
    (Project Heads Deninger, Christopher ; Ludwig, Ursula )
  - Automorphic forms and the p-adic Langlands programme
    (Project Heads Hellmann, Eugen ; Lourenco, Joao ; Schneider, Peter )
  - C*-algebras, groups, and dynamics: beyond amenability
    (Project Heads Geffen, Ph.D., Shirly ; Kerr, David ; Winter, Wilhelm )
  - Cartan sub-C*-algebras: an amenable perspective
    (Project Heads Geffen, Ph.D., Shirly ; Winter, Wilhelm )
  - Central Task of the Collaborative Research Centre
    (Project Heads Bartels, Arthur ; Hellmann, Eugen )
  - Curvature and Symmetry
    (Project Heads Wiemeler, Michael ; Wilking, Burkhard )
  - Einstein 4-manifolds with two commuting Killing vectors
    (Project Heads Hein, Hans-Joachim ; Holzegel, Gustav )
  - Entropy, orbit equivalence, and Bernoulli rigidity
    (Project Head Kerr, David )
  - Geometric evolution equations
    (Project Heads Böhm, Christoph ; Wilking, Burkhard )
  - Geometric PDEs and Symmetry
    (Project Heads Böhm, Christoph ; Siffert, Anna )
  - Homological algebra for stable ∞-categories
    (Project Head Nikolaus, Thomas )
  - Integrability
    (Project Heads Schürmann, Jörg ; Wulkenhaar, Raimar ; Zhao, Yifei )
  - K-theory of group algebras
    (Project Head Bartels, Arthur )
  - Moduli spaces of local shtukas in mixed characteristic
    (Project Heads Lourenco, Joao ; Viehmann, Eva ; Zhao, Yifei )
  - Moduli spaces of metrics of positive curvature
    (Project Heads Ebert, Johannes ; Zeidler, Rudolf )
  - Moduli spaces of p-adic Galois representations
    (Project Heads Hartl, Urs ; Hellmann, Eugen ; Schneider, Peter )
  - New cohomology theories for arithmetic schemes
    (Project Heads Deninger, Christopher ; Nikolaus, Thomas )
  - Scalar curvature between Kähler and spin
    (Project Heads Hein, Hans-Joachim ; Santoro, Bianca ; Zeidler, Rudolf )
  - SFB 1442: Geometry: Deformations and Rigidity
    (Spokesperson Hellmann, Eugen )
- Completed projects
  - Algebraic vector bundles
    (Project Head Deninger, Christopher )
  - Automorphisms and embeddings of manifolds
    (Project Heads Ebert, Johannes ; Weiss, Michael )
  - Baum-Connes conjecture and expanders
    (Project Heads Cuntz, Joachim ; Echterhoff, Siegfried ; de Laat, Ph.D., Tim ; Winter, Wilhelm )
  - Bivariant K-theory and the Baum-Connes-conjectures
    (Project Head Echterhoff, Siegfried )
  - Buildings
    (Project Head Schneider, Peter )
  - C*-algebras
    (Project Head Cuntz, Joachim )
  - Central tasks
    (Project Heads Cuntz, Joachim ; Deninger, Christopher ; Lück, Wolfgang ; Schneider, Peter ; Tent, Katrin )
  - Cobordism categories and geometric topology
    (Project Heads Ebert, Johannes ; Weiss, Michael )
  - Cohomological and topological methods
    (Project Head Bosch, Siegfried )
  - Collapsing and Metric Geometry
    (Project Head Wilking, Burkhard )
  - Continuous representation theory of p-adic groups
    (Project Head Schneider, Peter )
  - Curvature and Topology
    (Project Head Wilking, Burkhard )
  - Cyclic Theory and K-Theory for Locally Convex Algebras
    (Project Head Cuntz, Joachim )
  - Derived categories, quasi-hereditary algebras, and toric geometry
    (Project Heads Hille, Lutz ; Schürmann, Jörg )
  - Dynamical Systems from a noncommutative point of view
    (Project Heads Cuntz, Joachim ; Echterhoff, Siegfried ; de Laat, Ph.D., Tim ; Winter, Wilhelm )
  - Exotic crossed products and the Baum–Connes conjecture
    (Project Head Echterhoff, Siegfried )
  - Gebäude
    (Project Head Schneider, Peter )
  - Generalized cohomology theories and applications to algebraic and arithmetic geometry
    (Project Heads Cuntz, Joachim ; Deninger, Christopher ; Nikolaus, Thomas )
  - Geometric evolution equations
    (Project Heads Böhm, Christoph ; Wilking, Burkhard )
  - Geometry for T-folds
    (Project Heads Bunke, Ulrich ; Nikolaus, Thomas )
  - Geometry of scalar curvature
    (Project Head Lohkamp, Joachim )
  - Integrated Research Training Group
    (Project Heads Hartl, Urs ; Löwe, Matthias ; Tent, Katrin )
  - Iterated Function Systems, Random Analytic Functions and Random Matrices
    (Project Heads Deninger, Christopher ; Kabluchko, Zakhar ; Löwe, Matthias )
  - K-theory, L-theory and assembly maps
    (Project Heads Bartels, Arthur ; Lück, Wolfgang ; Weiss, Michael )
  - Large-scale structure of reductive groups and buildings
    (Project Head Kramer, Linus )
  - Mathematical aspects of QFT and condensed matter
    (Project Heads Bellissard, Jean ; Wulkenhaar, Raimar )
  - Metrische Eigenschaften und Deformationen singulärer Räume
    (Project Head Bröcker, Ludwig )
  - Minimal Hypersurfaces and Scalar Curvature
    (Project Head Lohkamp, Joachim )
  - Modulformen, Geometrie des Laplace-Operators und Anwendungen
    (Project Head Elstrodt, Jürgen )
  - Moduli spaces of G-Shtukas and the Langlands Program
    (Project Head Hartl, Urs )
  - Motives and analytic-topologocal methods
    (Project Head Deninger, Christopher )
  - Motives, Vector bundles, p-adic methods
    (Project Head Deninger, Christopher )
  - Noncommutative geometry and quantisation of physical interactions
    (Project Head Wulkenhaar, Raimar )
  - p-adic group algebras
    (Project Heads Scherotzke, Sarah ; Schneider, Peter )
  - Reductive groups and combinatorial structures
    (Project Head Kramer, Linus )
  - Rigid and formal geometry, Néron models
    (Project Head Bosch, Siegfried )
  - Rigidity of group topologies and universal minimal flows
    (Project Head Kwiatkowska, Ph.D., Aleksandra )
  - Sekretariat, Einladungen, Haushaltsführung, SFB-Kolloquien und -Symposien, Gäste, Computerwartung
    (Project Head Deninger, Christopher )
  - SFB 478: Geometric structures in mathematics
    (Spokesperson Deninger, Christopher )
  - SFB 878: Groups, Geometry and Actions
    (Spokespersons Deninger, Christopher ; Lück, Wolfgang ; Tent, Katrin )
  - Singular metric spaces and foliations
    (Project Head Wilking, Burkhard )
  - Special cycles on moduli spaces of G-shtukas
    (Project Head Hartl, Urs )
  - The arithmetic of period domains and local shtuka
    (Project Head Hartl, Urs )
  - The fine structure of nuclear C*-algebras
    (Project Heads Cuntz, Joachim ; Winter, Wilhelm )
Research Units
- Completed projects
  - Höhere K-Theorie und p-adische Hodgetheorie in der Iwasawa-Theorie
    (Applicant Venjakob, Otmar )
Research Training Groups
- Completed projects
  - GRK 283: Nonlinear Problems in Analysis, Geometry and Physics
    (Spokesperson Kielhöfer, Hansjörg )
  - GRK 627: Analytic Topology and Metageometry
    (Spokesperson Lück, Wolfgang )
  - GRK 2149: Strong and Weak Interactions - from Hadrons to Dark Matter
    (Spokesperson Klasen, Michael )
CRC/Transregios
- Current projects
  - Geometry of singular spaces
    (Project Heads Geiges, Hansjörg ; Lytchak, Alexander ; Marinescu, George Teodor ; Zehmisch, Kai )
  - Modular forms and Gromov-Witten theory
    (Project Heads Bringmann, Kathrin ; Suhr, Stefan ; Zehmisch, Kai )
  - Motives for shtukas and Shimura varieties
    (Project Heads Richarz, Timo ; Viehmann, Eva ; Wedhorn, Torsten )
  - Reeb dynamics and topology
    (Project Heads Albers, Peter ; Geiges, Hansjörg ; Zehmisch, Kai )
  - Symplectic capacities of polytopes
    (Project Heads Abbondandolo, Alberto ; Albers, Peter ; Thäle, Christoph ; Vallentin, Frank )
- Completed projects
  - Rabinowitz Floer homology
    (Project Heads Abbondandolo, Alberto ; Albers, Peter )
  - Shimura Varieties
    (Project Heads Bertolini, Massimo ; Görtz, Ulrich ; Hellmann, Eugen ; Müller-Stach, Stefan ; Paskunas, Vytautas ; Rapoport, Michael ; Scholze, Peter ; Stroppel, Catharina ; Viehmann, Eva ; Zuo, Kang )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2044: Mathematics Münster: Dynamics – Geometry – Structure
    (Spokespersons Nikolaus, Thomas ; Ohlberger, Mario )

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