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Rheinische Friedrich-Wilhelms-Universität Bonn
Mathematisches Institut

Address Endenicher Allee 60
53115 Bonn
Deutschland

GERiT This institution in GERiT

53115 Bonn

Projects

Research Fellowships
- Completed projects
  - Analytic and Reidemeister torsion for non-compact locally symmetric spaces
    (Applicant Pfaff, Jonathan )
  - Branch periods of minimal surfaces, variational problems higher order in geometry
    (Applicant Wienholtz, Daniel )
  - Die globale Struktur von verallgemeinerten affinen Deligne-Lusztig-Varietäten, Zusammenhänge mit der lokalen Theorie von Shimura Varietäten und der Theorie automorpher Formen
    (Applicant Mierendorff, Eva )
  - Formal moduli spaces of p-divisible groups in residue characteristic 2
    (Applicant Kirch, Daniel )
  - Galois action on motivic Zeta functions
    (Applicant Hartmann, Annabelle )
  - Infinitesimal Automorphisms of Algebraic Varieties
    (Applicant Martin, Gebhard )
  - Irreduzible Komponenten von Modulvarietäten
    (Applicant Schröer, Jan )
  - Metrische Geometrie
    (Applicant Foertsch, Thomas )
  - Smooth categories and motivic measures
    (Applicant Schnürer, Olaf )
  - The Arithmetic Fundamental Lemma for the Drinfeld space
    (Applicant Mihatsch, Andreas )
  - The (colored) sln link homologies and the categorical branching rules: Two methods combined
    (Applicant Tubbenhauer, Daniel )
Research Grants
- Current projects
  - Derivation and analysis of effective suspension models
    (Applicants Cobb, Dimitri ; Höfer, Richard ; Schubert, Richard )
  - Distribution and Correlation of Homogeneous and Random Forms
    (Applicants Blomer, Valentin ; Brüdern, Jörg ; Götze, Friedrich )
- Completed projects
  - a) Etale Fundamentalgruppe von Kurven b) Anabelsche Geometrie c) Beschreibung der Galoisstruktur von Körpern
    (Applicant Koepke, Peter )
  - Ausgabe der mathematischen und literarisch-philosophischen Werke Felix Hausdorffs
    (Applicant Scholz, Erhard )
  - Ausgabe der mathematischen und literarisch-philosophischen Werke Felix Hausdorffs
    (Applicant Brieskorn, Egbert )
  - Complexity and Definability at Higher Cardinals - Studies in Generalized Descriptive Set Theory
    (Applicant Lücke, Philipp )
  - Determinacy, infinitary combinatorics and their interactions
    (Applicant Koepke, Peter )
  - Development and applications of a new Finestructure theory for the constructible hierarchy
    (Applicant Koepke, Peter )
  - Geometric and Analytic Number Theory
    (Applicants Blomer, Valentin ; Brüdern, Jörg ; Derenthal, Ulrich )
  - Geometrische Variationsprobleme für Cartan-Funktionale
    (Applicant von der Mosel, Heiko )
  - Geometrische Variationsprobleme für Cartan-Funktionale
    (Applicant Clarenz, Ulrich )
  - Infinitary combinatorics without the axiom of choice
    (Applicant Koepke, Peter )
  - K-Theory, C*-algebras and Index theory
    (Applicants Frank, Michael ; Lück, Wolfgang ; Schick, Thomas )
  - On homological dimensions and combinatorics of finite dimensional algebras
    (Applicant Marczinzik, Rene )
  - Strichartzabschätzungen für dispersive Gleichungen mit variablen Koeffizienten, Anwendung auf die Benjamin-Ono-Gleichung
    (Applicant Koch, Herbert )
Priority Programmes
- Current projects
  - Profinite and RFRS groups
    (Applicant Gardam, Giles )
  - The geometry of locally symmetric spaces via natural maps
    (Applicant Hamenstädt, Ursula )
- Completed projects
  - Boundaries of acylindrically hyperbolic groups and applications
    (Applicant Hamenstädt, Ursula )
  - Geometrie spezieller Mannigfaltigkeiten
    (Applicant Huybrechts, Daniel )
  - Global equivariant homotopy theory II
    (Applicant Schwede, Stefan )
  - Higher Schur-Weyl dualities and gradings
    (Applicant Stroppel, Catharina )
  - Odd primary equivariant rigidity and equivariant derivators
    (Applicant Schwede, Stefan )
  - Spectral theory of Dirac and Laplace operators
    (Applicant Müller, Werner )
  - The geometry of moduli space and the mapping class group
    (Applicant Hamenstädt, Ursula )
Independent Junior Research Groups
- Completed projects
  - Satisfiability and group rings
    (Applicant Gardam, Giles )
Collaborative Research Centres
- Current projects
  - Multilinear estimates in geometric Fourier analysis
    (Project Head Thiele, Christoph )
  - Nonlinear dispersive equations
    (Project Head Koch, Herbert )
  - SFB 1060: The Mathematics of Emergent Effects
    (Spokesperson Müller, Stefan )
- Completed projects
  - Analysis on collapsing manifolds and singular spaces
    (Project Heads Müller, Werner ; Sturm, Karl-Theodor )
  - Central tasks
    (Project Heads Cuntz, Joachim ; Deninger, Christopher ; Lück, Wolfgang ; Schneider, Peter ; Tent, Katrin )
  - Differential equations with singular structures
    (Project Head Koch, Herbert )
  - Equivariant homotopy and homology
    (Project Head Lück, Wolfgang )
  - Homotopische Algebra und ihre Anwendungen
    (Project Head Schwede, Stefan )
  - Investigation of geometric, analytic and dynamical invariants of degenerating families of negatively curved Riemannian manifolds
    (Project Head Hamenstädt, Ursula )
  - Isomorphism Conjecture in algebraic K- and L-theory
    (Project Head Lück, Wolfgang )
  - K-theory, L-theory and assembly maps
    (Project Heads Bartels, Arthur ; Lück, Wolfgang ; Weiss, Michael )
  - L²-invariants
    (Project Head Lück, Wolfgang )
  - Measurable group theory and L2-invariants
    (Project Heads Löh, Clara ; Lück, Wolfgang ; Sauer, Roman )
  - Semirelativistic Schrödinger equations, ground states and dynamics
    (Project Heads Koch, Herbert ; Schlein, Benjamin )
  - SFB 878: Groups, Geometry and Actions
    (Spokespersons Deninger, Christopher ; Lück, Wolfgang ; Tent, Katrin )
  - Skalenbildung singuläres Verhalten von Diffusionsprzessen
    (Project Heads Frehse, Jens ; Hamenstädt, Ursula )
Emmy Noether International Fellowships
- Completed projects
  - Darstellungstheorie von Liegruppen und Liealgebren
    (Applicant Stroppel, Catharina )
CRC/Transregios
- Current projects
  - Combinatorial Euler products
    (Project Heads Blomer, Valentin ; Klüners, Jürgen ; Voll, Christopher )
  - Spectral theory in higher rank and infinite volume
    (Project Heads Blomer, Valentin ; Weich, Tobias )
  - Theta lifts and equidistribution
    (Project Heads Alfes, Claudia ; Blomer, Valentin )
- Completed projects
  - Algebraic Calabi-Yau categories
    (Project Head Schröer, Jan )
  - Calabi-Yau Categories
    (Project Heads Huybrechts, Daniel ; Macri, Emanuele ; Schröer, Jan )
  - Derived categories of Calabi-Yau manifolds
    (Project Head Huybrechts, Daniel )
  - Dirac Operators: their role in mesoscopic physics and their sprectral theory
    (Project Heads Altland, Alexander ; Lesch, Matthias ; Zirnbauer, Martin R. )
  - Lagrangian fibrations of symplectic manifolds
    (Project Heads Huybrechts, Daniel ; Lehn, Manfred )
  - Local models of Shimura varieties
    (Project Head Rapoport, Michael )
  - Moduli Spaces, Symplectic and Calabi-Yau Manifolds
    (Project Heads Greb, Daniel ; Hein, Georg ; Heinloth, Jochen ; Huybrechts, Daniel ; Lazic, Vladimir ; Lehn, Manfred ; Rollenske, Sönke ; van Straten, Duco ; Stroppel, Catharina )
  - Period domains of hyperkähler manifolds
    (Project Head Huybrechts, Daniel )
  - Periods and Motives
    (Project Heads Esnault, Hélène ; Geldhauser, Nikita ; Kerz, Moritz ; Levine, Marc ; Müller-Stach, Stefan ; Stroppel, Catharina )
  - Periods and Period Domains
    (Project Heads Faltings, Gerd ; Kohlhaase, Jan ; Müller-Stach, Stefan ; Rapoport, Michael ; Scholze, Peter ; van Straten, Duco ; Zuo, Kang )
  - 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 )
Research Training Groups
- Completed projects
  - GRK 627: Analytic Topology and Metageometry
    (Spokesperson Lück, Wolfgang )
  - GRK 1150: Homotopy and Cohomology
    (Spokesperson Bödigheimer, Carl-Friedrich )
Clusters of Excellence
- Completed projects
  - EXC 59: Mathematics: Foundations, Models, Applications
    (Spokesperson Sturm, Karl-Theodor )
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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