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Institution
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
Change-Point Detection for Discretely Sampled Diffusion Processes
(Applicant
Mihalache, Stefan-Radu
)
Statistische Mechanik auf zufälligen Netzwerken
(Applicant
Dereich, Steffen
)
Studium von Musterbildungen bei der embryonalen Entwicklung und bei anderen biologischen Vorgängen sowie Teilnahme am IMA Jahresprogramm "Mathematics in Multimedia" in Minneapolis, USA.
(Applicant
Horstmann, Dirk
)
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
Derivations on formal multiple Eisenstein series
(Applicant
van Ittersum, Jan-Willem
)
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
)
Additional Information
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