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Institution
Ludwig-Maximilians-Universität München
Mathematisches Institut
Address
Theresienstraße 39
80333 München
Deutschland
GERiT
This institution in GERiT
80333 München
Projects
Research Grants
Current projects
AEI-DFG: Transcending boundaries in Analysis through nonlocality
(Applicants
Frank, Rupert
;
Kaßmann, Rolf Moritz
)
Equivariant and weak orientations in the motivic homotopy theory
(Applicants
Ananyevskiy, Ph.D., Alexey
;
Geldhauser, Nikita
)
Error analyses for Bayesian reasoning
(Applicants
Binder, Karin
;
Eichler, Andreas
)
Motivic algebraic topology
(Applicant
Morel, Fabien
)
Sensing Strategies for Spherical Phaseless Antenna Measurements (S³PAM)
(Applicants
Heberling, Dirk
;
Rauhut, Holger
)
Symmetries in topology and algebra
(Applicant
Land, Markus
)
Training study on Bayesian Reasoning in school
(Applicants
Binder, Karin
;
Eichler, Andreas
;
Krauss, Stefan
;
Vogel, Markus
)
Completed projects
Algebraic bordism spectra: Computations, filtrations, applications
(Applicant
Röndigs, Oliver
)
Algebraic groups and motives of projective homogeneous varieties of outer type
(Applicants
Geldhauser, Nikita
;
Zhykhovich, Maksim
)
Analysis: Relativistische Materie und ihre Wechselwirkung
(Applicant
Siedentop, Heinz
)
Classifying spaces of algebraic groups and A1-homotopy theory.
(Applicant
Morel, Fabien
)
Compressive Covariance Sampling for Spectrum Sensing (CoCoSa)
(Applicants
Mathar, Rudolf
;
Rauhut, Holger
)
Die Energie schwerer Atome und Moleküle: Die Analysis von Modellen der relativistischen Quantenmechanik und Quantenelektrodynamik
(Applicant
Siedentop, Heinz
)
Effective One-Particle Equations for Correlated Many-Particle-(Coulomb) Systems: Derivation and Properties
(Applicants
Chen, Ph.D., Li
;
Pickl, Peter
;
Siedentop, Heinz
)
Equivariant Tamagwa numbers and Galois module theory
(Applicant
Bley, Werner
)
Etale motivic cohomology and algebraic cycles
(Applicant
Rosenschon, Ph.D., Andreas
)
Exakte Arithmetik für reelle Zahlen als Basis für einen maschinellen Beweis der Keplerschen Vermutung
(Applicant
Schwichtenberg, Helmut
)
Extraktion effizienter Programme aus formalen Beweisen
(Applicant
Schwichtenberg, Helmut
)
Extraktion von Programmen aus klassischen Beweisen -Extraction of programs from classical proofs
(Applicant
Schwichtenberg, Helmut
)
Foliations and contact structures
(Applicants
Bowden, Jonathan
;
Vogel, Thomas
)
Geometrie von Flächenbündeln
(Applicant
Kotschick, Ph.D., Dieter
)
Geometrisierung in Dimension 3 und Geometrie singulärer Räume
(Applicant
Leeb, Bernhard
)
Gibbs Partitions with Many Components
(Applicant
Panagiotou, Konstantinos
)
Konstruktive Methoden und äquivariante Tamagawazahlen
(Applicant
Bley, Werner
)
Mathematical study of non-relativistic QED: The Link between Resonances and Poles of the Scattering Matrix
(Applicant
Deckert, Dirk - André
)
Mathematics of Many-Body Quantum Systems
(Applicant
Nam, Phan Thanh
)
Mikroskopische Begründung des quantenmechanischen Streuquerschnittes mehrerer Teilchen
(Applicant
Dürr, Detlef
)
Motive und kanonische Dimension von Formen torischer Varietäten
(Applicant
Gille, Stefan
)
Organising matrices, height pairings and refined conjectures ofthe Birch and Swinnerton-Dyer type
(Applicant
Bley, Werner
)
Programmiersprachliche Aspekte sublinearer Platzkomplexitätsklassen
(Applicant
Hofmann, Martin
)
Real-world Networks and Random Graph Models
(Applicant
Panagiotou, Konstantinos
)
Semiclassical Gravitation
(Applicant
Dürr, Detlef
)
Stochastic differential equations in Hilbert spaces: solutions and asymptotic behavior
(Applicant
Dürr, Detlef
)
Theorie und Praxis der Extraktion von Programmen aus formalen Beweisen
(Applicant
Schwichtenberg, Helmut
)
Topological properties of algebraic varieties
(Applicant
Schreieder, Stefan
)
Zerlegung der Chow-Motive homogener Varietäten
(Applicant
Gille, Stefan
)
Research Fellowships
Completed projects
Asymptotics of products of spectral projections with applications to Anderson's orthogonality and entanglement entropy
(Applicant
Gebert, Martin
)
Development of new invariants for 3-manifolds, 4-manifolds and contact structures and the study of their properties.
(Applicant
Sahamie, Bijan
)
Geography of 4-dimensional manifolds with even intersection form
(Applicant
Bohr, Christian
)
New methods in algebraic K-theory
(Applicant
Land, Markus
)
Spektralabschätzungen in Analysis und Mathematischer Physik
(Applicant
Frank, Rupert
)
Priority Programmes
Current projects
Emergence of macroscopic phenomena in the non-linear hyperbolic supersymmetric sigma model - second phase
(Applicants
Disertori, Margherita
;
Merkl, Franz
;
Rolles, Silke
)
Geometry of surface homeomorphism groups
(Applicants
Bowden, Jonathan
;
Hensel, Sebastian
)
Implicit Bias in Adversarial Training
(Applicants
Fornasier, Massimo
;
Rauhut, Holger
)
Renormalization group for Gibbs point processes
(Applicant
Jansen, Sabine
)
Completed projects
Asymptotic Invariants of Manifolds
(Applicant
Kotschick, Ph.D., Dieter
)
Classification of vector bundles over affine varieties
(Applicant
Rosenschon, Ph.D., Andreas
)
Compressive Covariance Estimation for Massive MIMO (CoCoMiMo)
(Applicants
Caire, Ph.D., Giuseppe
;
Dirksen, Sjoerd
;
Rauhut, Holger
)
Coordination
(Applicant
Lohkamp, Joachim
)
Coordination Funds
(Applicants
Kutyniok, Gitta
;
Rauhut, Holger
)
Geometric Formality
(Applicant
Kotschick, Ph.D., Dieter
)
Geometrisierung in Dimension 3 und Geometrie singulärer Räume
(Applicant
Leeb, Bernhard
)
Geometry of Engel structures
(Applicant
Vogel, Thomas
)
Gibbsmaße für Punktteilchensysteme im Phasenübergangsbereich
(Applicant
Georgii, Hans-Otto
)
Oriented cohomology theories and equivariant motives
(Applicant
Geldhauser, Nikita
)
Polygons in symmetric spaces and buildings with applications to algebra
(Applicant
Leeb, Bernhard
)
Quantized Compressive Spectrum Sensing (QuaCoSS)
(Applicants
Mathar, Rudolf
;
Rauhut, Holger
)
Structured Compressive Sensing via Neural Network Learning (SCoSNeL)
(Applicants
Caire, Ph.D., Giuseppe
;
Rauhut, Holger
)
The Equivariant Tamagawa Number Conjecture for the base change of an abelian variety
(Applicant
Bley, Werner
)
Heisenberg Grants
Current projects
Motivic homotopy theory and cohomological properties of algebraic varieties
(Applicant
Ananyevskiy, Ph.D., Alexey
)
Collaborative Research Centres
Current projects
Central Tasks of the Collaborative Research Centre
(Project Heads
Rauhut, Holger
;
Westdickenberg, Michael
)
Gradient descent for deep neural network learning
(Project Heads
Rauhut, Holger
;
Westdickenberg, Michael
)
Group actions and t-designs in sparse and low rank matrix recovery
(Project Heads
Führ, Hartmut
;
Nebe, Gabriele
;
Rauhut, Holger
)
Regularizing neural network classification using random perturbations
(Project Heads
Krumscheid, Sebastian
;
Rauhut, Holger
;
Tempone, Ph.D., Raul
)
SFB 1481: Sparsity and Singular Structures
(Spokespersons
Rauhut, Holger
;
Stamm, Benjamin
;
Westdickenberg, Michael
)
Theta tensor norms and low rank recovery
(Project Heads
Fourier, Ghislain
;
Rauhut, Holger
)
Completed projects
Invertibility of random matrices
(Project Heads
Rauhut, Holger
;
Schlein, Benjamin
)
Regressionsmodelle für Zeitreihen und Punktprozesse
(Project Head
Pruscha, Helmut
)
CRC/Transregios
Current projects
Decay of Correlations in Continuum Particle Systems
(Project Heads
Heydenreich, Markus
;
Jansen, Sabine
)
Derivation of Nonlinear Quantum Boltzmann Equation
(Project Heads
Nam, Phan Thanh
;
Spohn, Herbert
)
Large Quantum Coulomb Systems
(Project Heads
Frank, Rupert
;
Nam, Phan Thanh
;
Solovej, Jan Philip
)
Localization for Very Sparse Erdös-Rényi Random Graphs
(Project Heads
Erdös, Ph.D., Laszlo
;
Heydenreich, Markus
;
Müller, Peter
)
Mathematical Challenges in the BCS Theory of Superconductivity
(Project Heads
Frank, Rupert
;
Hainzl, Christian
;
Seiringer, Robert
)
Rigorous Approximations for Fermionic Kinetic Energies
(Project Head
Frank, Rupert
)
The Correlation Energy of Many-Body Fermi Systems
(Project Heads
Hainzl, Christian
;
Nam, Phan Thanh
;
Seiringer, Robert
)
Completed projects
Effective theories of correlated fermions
(Project Heads
von Delft, Jan
;
Efetov, Konstantin
;
Müller, Peter
)
Periods and Motives
(Project Heads
Esnault, Hélène
;
Geldhauser, Nikita
;
Kerz, Moritz
;
Levine, Marc
;
Müller-Stach, Stefan
;
Stroppel, Catharina
)
Single-particle operators with disorder of short range structure
(Project Heads
Kirsch, Werner
;
Kriecherbauer, Thomas
;
Siedentop, Heinz
)
The spectrum of interacting fermions in graphene quantum dots
(Project Heads
Egger, Reinhold
;
Siedentop, Heinz
;
Stockmeyer, Edgardo
)
Research Training Groups
Completed projects
GRK 301: Logic in Computer Science
(Spokesperson
Schwichtenberg, Helmut
)
GRK 2131: High-dimensional Phenomena in Probahility - Fluctuations and Discontinuity
(Spokesperson
Eichelsbacher, Peter
)
Clusters of Excellence (ExStra)
Current projects
EXC 2111: Munich Center for Quantum Science and Technology (MCQST)
(Spokespersons
Bloch, Immanuel
;
Cirac, Juan Ignacio
;
Gross, Rudolf
)
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