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Universität zu Köln
Department Mathematik/Informatik
Abteilung Mathematik

Address Weyertal 86-90
50931 Köln
Deutschland

GERiT This institution in GERiT

50931 Köln

Projects

Heisenberg Fellowships
- Completed projects
  - Mathematik
    (Applicant Kunze, Markus )
Research Fellowships
- Completed projects
Priority Programmes
- Current projects
  - Condensation in random geometric graphs
    (Applicant Mörters, Peter )
  - Random polynomials and random Kähler geometry
    (Applicants Drewitz, Alexander ; Marinescu, George Teodor )
  - The statistical mechanics of the interlacement point process
    (Applicants Drewitz, Alexander ; Jahnel, Benedikt ; König, Wolfgang )
- Completed projects
  - Coordinator project
    (Applicant Littelmann, Peter )
  - Families of contact structures on 3-manifolds; surgery descriptions and open book decompostions of contact manifolds
    (Applicant Geiges, Hansjörg )
  - Geometry and the compression of combinatorial formulas for Macdonald polynomals
    (Applicant Littelmann, Peter )
  - Globale Geometrie von singulären Riemannschen Blätterungen
    (Applicant Töben, Dirk )
  - Lie transformation groups in Riemannian geometry
    (Applicant Thorbergsson, Gudlaugur )
  - PBW-filtration of representations, degenerate flag varieties and polytopes
    (Applicant Littelmann, Peter )
  - Polyhedral models of representation
    (Applicant Bliem, Thomas )
  - Polyhedral models of representations
    (Applicant Bliem, Thomas )
  - Radiative friction for charges interacting with the radiation field
    (Applicant Kunze, Markus )
  - Singular Riemannian foliation
    (Applicant Töben, Dirk )
  - SPP 1388: Representation Theory
    (Spokesperson Littelmann, Peter )
Research Grants
- Current projects
  - Geometry, topology, algebra and combinatorics of the GKM correspondence
    (Applicants Goertsches, Oliver ; Konstantis, Panagiotis ; Zoller, Leopold )
  - Intersection of closed positive currents
    (Applicant Vu, Duc Viet )
  - Invariant involutive structures
    (Applicant Jahnke, Max )
  - Quantization, Singularities and Holomorphic Dynamics
    (Applicants Brinkschulte, Judith ; Greb, Daniel ; Ludwig, Ursula ; Marinescu, George Teodor ; Ruppenthal, Jean )
- Completed projects
  - Adaptive Wavelet-Darstellung von Oberflächen, Rekonstruktion und Interpretation
    (Applicant Kunoth, Angela )
  - A unified approach to limit theorems for dual objects in probabilita and number theory
    (Applicants Indlekofer, Karl-Heinz ; Steinebach, Josef G. )
  - Geometrie und Algorithmik von periodischen Punktmengen
    (Applicant Schürmann, Achill )
  - Gruppen, Monoide und algebraisch geometrische Konstruktionen zu Kategorien von Darstellungen von Kac-Moody-Algebren und verallgemeinerten Kac-Moody-Algebren
    (Applicant Littelmann, Peter )
  - Höhere Eigenfunktionen für den p-Laplace-Operator im Limes p gegen 1
    (Applicant Kawohl, Bernd )
  - Kombinatorische Beschreibung von Macdonald und Kostka-Foulkes Polynomen
    (Applicant Littelmann, Peter )
  - Kontrolltheorie Linearer und Nichtlinearer Schrödinger-Gleichungen und "Quantum Control"-Probleme
    (Applicant Lange, Horst )
  - Microlocal Analysis and Complex Geometry
    (Applicant Marinescu, George Teodor )
  - Modular completions of false theta functions
    (Applicant Bringmann, Kathrin )
  - Percolation models with long-range correlations via isomorphism theorems
    (Applicant Drewitz, Alexander )
  - Preisfestsetzung und Abdeckung von CAT-Produkten
    (Applicant Schmidli, Hanspeter )
  - Rates of convergence in limit theorems of probabilistic number theory
    (Applicants Indlekofer, Karl-Heinz ; Steinebach, Josef G. )
  - Rates of convergence in limit theorems of probabilistic number theory
    (Applicant Steinebach, Josef G. )
  - Reeb-Dynamik und Holomorphe Kurven
    (Applicants Geiges, Hansjörg ; Zehmisch, Kai )
  - Shintani lifts for weakly holomorphic modular forms
    (Applicant Bringmann, Kathrin )
  - Spatial age-dependent random graphs
    (Applicant Mörters, Peter )
  - Spectral bounds in extremal discrete geometry
    (Applicant Vallentin, Frank )
  - Structural Breaks in Time Series
    (Applicant Steinebach, Josef G. )
WBP Position
- Current projects
  - The cohomology of left-invariant involutive structures
    (Applicant Jahnke, Max )
CRC/Transregios
- Current projects
  - Associative Algebras from Symplectic Geometry
    (Project Heads Littelmann, Peter ; Reineke, Markus ; Schroll, Sibylle )
  - Central tasks
    (Project Heads Geiges, Hansjörg ; Zehmisch, Kai )
  - Combinatorics of manifolds with symmetries and modularity properties
    (Project Heads Bringmann, Kathrin ; Sabatini, Silvia )
  - Geometric quantization
    (Project Heads Alldridge, Alexander ; Heinzner, Peter ; Marinescu, George Teodor )
  - Geometry of singular spaces
    (Project Heads Geiges, Hansjörg ; Lytchak, Alexander ; Marinescu, George Teodor ; Zehmisch, Kai )
  - Hyperbolicity in dynamics and geometry
    (Project Heads Knieper, Gerhard ; Kunze, Markus ; Pozzetti, Maria Beatrice ; Wienhard, Anna )
  - Modular forms and Gromov-Witten theory
    (Project Heads Bringmann, Kathrin ; Suhr, Stefan ; Zehmisch, Kai )
  - Momentum polytopes, string polytopes and generalizations
    (Project Heads Cupit-Foutou, Stéphanie ; Heinzner, Peter ; Littelmann, Peter ; Reineke, Markus )
  - 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 )
  - Symplectic methods in infinite-dimensional systems
    (Project Heads Burban, Igor ; Kunze, Markus ; Suhr, Stefan )
  - Topological aspects of symplectic manifolds with symmetries
    (Project Heads Heinzner, Peter ; Reineke, Markus ; Sabatini, Silvia )
  - TRR 191: Symplectic Structures in Geometry, Algebra and Dynamics
    (Spokespersons Geiges, Hansjörg ; Zehmisch, Kai )
  - Twist maps and minimal geodesics
    (Project Heads Knieper, Gerhard ; Kunze, Markus )
  - Visualization in billiards and geometry
    (Project Heads Albers, Peter ; Geiges, Hansjörg ; Sadlo, Filip )
- Completed projects
  - Algorithmic symplectic packing
    (Project Heads Geiges, Hansjörg ; Jünger, Michael ; Vallentin, Frank )
  - Derived categories of singular curves
    (Project Heads Burban, Igor ; Marinescu, George Teodor )
  - Hyperbolic dynamical systems, periodic orbits and quantum spectra
    (Project Heads Altland, Alexander ; Guhr, Karl Thomas ; Haake, Fritz ; Knieper, Gerhard ; Kunze, Markus )
  - Level dynamics
    (Project Heads Huckleberry, Alan T. ; Kus, Marek ; Thorbergsson, Gudlaugur )
  - Limits of representations
    (Project Heads Huckleberry, Alan T. ; Kus, Marek ; Littelmann, Peter ; Marinescu, George Teodor ; Winkelmann, Jörg )
  - Loop groups and the path model
    (Project Heads Littelmann, Peter ; Lytchak, Alexander )
  - Non-abelian symmetries in tensor networks
    (Project Heads von Delft, Jan ; Littelmann, Peter ; Schollwöck, Ulrich )
  - Nonlinear Dynamics of Strongly Interacting Quantum Fields
    (Project Heads Kehrein, Stefan ; Kunze, Markus ; Rosch, Achim ; Schützhold, Ralf )
  - Sparse pattern representation with application to pattern parameterization in atmosphere and land surface coupled systems
    (Project Heads Kunoth, Angela ; Shao, Yaping )
Research Training Groups
- Completed projects
  - GRK 192: Scientific Computing - Computer Simulation, Optimization, Multigrid Methods, Parallel Computing
    (Spokesperson Speckenmeyer, Ewald )
  - GRK 1269: Global Structures in Geometry and Analysis
    (Spokesperson Sweers, Guido )
Collaborative Research Centres
- Completed projects
  - Geometrische Rekonstruktion und Bewertung der Modellierung von rezenten Sedimentumlagerungen
    (Project Heads Förstner, Wolfgang ; Kunoth, Angela ; Schäfer, Andreas )
  - Wavelet Methods for Systems of Operator Equations
    (Project Heads Griebel, Michael ; Kunoth, Angela ; Scherer, Karl )

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