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Humboldt-Universität zu Berlin
Institut für Mathematik

Address Unter den Linden 6
10099 Berlin
Deutschland

GERiT This institution in GERiT

10099 Berlin

Projects

Research Fellowships
- Completed projects
  - Grundlagen und Anwendungen der Kontakthomologie
    (Applicant Mohnke, Klaus )
  - Holonomic D-Modules on Abelian Varieties
    (Applicant Krämer, Thomas )
  - Monodromie in logarithmischer kristalliner Kohomologie
    (Applicant Große-Klönne, Elmar )
  - N=4 SYM im Rahmen der AdS/CFT Dualität
    (Applicant Eden, Burkhard )
  - Perturbations of semi-classical completely integrable systems with singularities
    (Applicant Roy, Nicolas )
Research Grants
- Current projects
  - Characteristic Cycles and Representation Theory
    (Applicant Krämer, Thomas )
  - Galois moduli and modular Hecke algebras
    (Applicant Große-Klönne, Elmar )
  - Higher-point functions and integrability
    (Applicant Eden, Burkhard )
- Completed projects
Priority Programmes
- Current projects
  - Operator Learning for Optimal Control: Approximation and Statistical Theory
    (Applicants Herberg, Evelyn ; Wang, Sven ; Zech, Jakob )
- Completed projects
  - Automated extension of fixed point PDE solvers for optimal design with bounded retardation
    (Applicants Gauger, Nicolas R. ; Griewank, Andreas ; Slawig, Thomas )
  - Automatic Differentiation for large scale flow control with application to non-Newtonian flows
    (Applicants Heuveline, Vincent ; Walther, Andrea )
  - Dynamik unendlichdimensionaler stochastischer Systeme
    (Applicant Scheutzow, Michael )
  - Erzeugung von effizientem Ableitungscode durch Knotenelimination im Berechnungsgraphen
    (Applicant Griewank, Andreas )
  - Foundation and Application of Generalized Mixed FEM Towards Nonlinear Problems in Solid Mechanics
    (Applicant Carstensen, Carsten )
  - Index theory on Lorentzian manifolds
    (Applicant Bär, Christian )
  - Klassifikation und Moduli komplexer Varietäten
    (Applicant Kurke, Herbert )
  - Mathematische Modellierung und effiziente Numerik zur Simulation vom Werkzeugschleifen
    (Applicant Carstensen, Carsten )
  - Modeling, simulation and optimization of process chains
    (Applicant Leugering, Günter )
  - Moduli spaces of holomorphic vector bundles and Gauge theory on Calabi-Yau manifolds, with applications to F-theory/heterotic duality
    (Applicant Kurke, Herbert )
  - Numerische Relaxierung von nichtkonvexen Funktionalen der Festkörpermechanik
    (Applicant Carstensen, Carsten )
  - Optimale Lastverteilung mit unvollständiger Information unter Echtzeit-Bedingungen
    (Applicant Schultz, Rüdiger )
  - Optimale Lastverteilung mit unvollständiger Information unter Echtzeit-Bedingungen
    (Applicant Römisch, Werner )
  - Punctured Holomorphic Curves in Symplectic Geometry
    (Applicants Cieliebak, Kai ; Mohnke, Klaus )
  - Punctured Holomorphic Curves in Symplectic Geometry
    (Applicant Mohnke, Klaus )
  - Shape Optimization for Maxwell's Equations Including Hysteresis Effects in the Material Laws
    (Applicants Schmidt, Stephan ; Walther, Andrea )
  - Special Geometries and Fermionic Field Equations
    (Applicant Friedrich, Thomas )
  - SPP 1480: Modelling, Simulation and Compensation of Thermal Effects for Complex Machining Processes
    (Spokesperson Biermann, Dirk )
  - Syzygies, Hurwitz spaces and Ulrich sheaves
    (Applicant Farkas, Gavril )
  - The holonomy of the B-field in string theory
    (Applicant Agricola, Ilka )
  - The study of the birational geometry of various moduli spaces of curves with the help of the computer algebra system Macaulay
    (Applicant Farkas, Gavril )
  - Unendlich-dimensionale Methoden in der Stochastik der Finanzmärkte
    (Applicant Föllmer, Hans )
  - Unendlich-dimensionale Methoden in der Stochastik der Finanzmärkte
    (Applicant Schweizer, Martin )
Research Units
- Current projects
- Completed projects
  - Central Project: Research Unit Structural Inference in Statistics: Adaption and Efficiency
    (Applicants Neumeyer, Natalie ; Reiß, Markus )
  - Efficient nonparametric regression when the support is bounded
    (Applicants Drees, Holger ; Reiß, Markus )
  - FOR 1735: Structural Inference in Statistics: Adaptation and Efficiency
    (Spokespersons Drees, Holger ; Reiß, Markus )
  - FOR 2402: Rough Paths, Stochastic Partial Differential Equations and Related Topics
    (Spokesperson Friz, Peter Karl )
  - Numerical algorithms for the simulation of finite plasticity with microstructures
    (Applicant Carstensen, Carsten )
  - Rough paths and random dynamical systems
    (Applicants Imkeller, Peter ; Scheutzow, Michael )
  - "Stocheia": Bild, Schrift und Zahl in der Tradition der "Elemente" des Euklid
    (Applicant Brüning, Jochen )
  - Zentralprojekt
    (Applicant Coy, Wolfgang )
Heisenberg Fellowships
- Completed projects
  - (I) Arithmetik Dwork'scher unit-root L-Funktionen; p-adische Modulformen (II) p-adische Kohomologie p-adischer Periodenbereiche (III) Koeffizientensysteme auf Gebäuden algebraischer Gruppen über lokalen Körpern (IV) p-adische Charaktergraben
    (Applicant Große-Klönne, Elmar )
  - Physik
    (Applicant Kreimer, Dirk )
Heisenberg Professorships
- Completed projects
  - (I) Arithmetik Dwork'scher unit-root L-Funktionen; p-adische Modulformen (II) p-adische Kohomologie p-adischer Periodenbereiche (III) Koeffizientensysteme auf Gebäuden algebraischer Gruppen über lokalen Körpern (IV) p-adische Charaktergraben
    (Applicant Große-Klönne, Elmar )
Heisenberg Grants
- Current projects
  - Higher-point functions and integrability
    (Applicant Eden, Burkhard )
WBP Position
- Current projects
  - Dynamics on character varieties and Hodge theory
    (Applicant Lam, Yeuk Hay Joshua )
Collaborative Research Centres
- Current projects
  - Hysteresis and microstructure in shape memory alloys
    (Project Heads Conti, Sergio ; Knüpfer, Hans ; Zwicknagl, Barbara )
  - Nonlinear statistical inverse problems with random observations
    (Project Heads Blanchard, Gilles ; Huisinga, Wilhelm ; Lie, Han Cheng ; Reiß, Markus )
  - SFB 1060: The Mathematics of Emergent Effects
    (Spokesperson Müller, Stefan )
  - Statistics of stochastic partial differential equations (SPDEs)
    (Project Heads Beta, Carsten ; Reiß, Markus ; Roelly, Sylvie ; Stannat, Wilhelm )
- Completed projects
  - Adjungierten-basierte Kontrolle von turbulenten Strömungen durch elektromagnetische Felder
    (Project Head Walther, Andrea )
  - Algebraic Geometry: Deformations, Moduli and Vector Bundles
    (Project Heads Altmann, Klaus ; Farkas, Gavril ; Schmitt, Alexander )
  - Algebraic Varieties and Principal Bundles: Semistable Objects and their Moduli Spaces
    (Project Heads Farkas, Gavril ; Schmitt, Alexander )
  - Almost One-Dimensional Systems, Spectral Analysis, and Evolution Equations
    (Project Head Brüning, Jochen )
  - Analytical and Numerical Analysis of Spatio-Temporal Phenomena in Coupled Semiconductor Lasers
    (Project Heads Recke, Lutz ; Wolfrum, Matthias )
  - Analytic and Spectral Properties of Geometric Operators
    (Project Heads Bär, Christian ; Schüth, Dorothee )
  - Central Tasks of the Collaborative Research Centre
    (Project Heads Brüning, Jochen ; Staudacher, Matthias )
  - Differential Geometry: Geometric and Spectral Invariants of Riemannian, Lorentzian and Conformal Manifolds
    (Project Heads Baum, Helga ; Schüth, Dorothee )
  - Differential Operators of Mathematical Physics: Spectral Theory and Dynamics
    (Project Heads Brüning, Jochen ; Bär, Christian ; Rendall, Alan )
  - Enumerative Geometry of Moduli Spaces
    (Project Head Farkas, Gavril )
  - Geometrische und topologische Eigenschaften der Modulräume von Feldgleichungen
    (Project Head Friedrich, Thomas )
  - Inference for jump models and nonlinear inverse problems
    (Project Head Reiß, Markus )
  - Integrable Systeme in der Differentialgeometrie
    (Project Head May, Uwe )
  - Integrated Research Training Group "Space - Time - Matter"
    (Project Head Brüning, Jochen )
  - Models of Random Pertubations and the Induced Dynamics of Nonlinear Systems
    (Project Heads Imkeller, Peter ; Sokolov, Igor M. )
  - Numerik einfacher Schalenmodelle mit nichtlinearem Materialverhalten
    (Project Head Carstensen, Carsten )
  - Securitization and Equilibrium Risk Transfer
    (Project Head Horst, Ulrich )
  - SFB 647: Space - Time - Matter: Analytic and Geometric Structures
    (Spokespersons Brüning, Jochen ; Staudacher, Matthias )
  - Special Geometries and Fermionic Field Equations
    (Project Heads Agricola, Ilka ; Friedrich, Thomas )
  - Spektraleigenschaften von Dirac- und Laplace-Operatoren und Eichfeldtheorie
    (Project Heads Baum, Helga ; Friedrich, Thomas )
  - Spektraleigenschaften von eichfeldabhängigen Dirac- und Laplace.Operatoren und Eichfeldtheorie
    (Project Head Friedrich, Thomas )
  - Spektralgeometrie und harmonische Analysis
    (Project Head Sulanke, Rolf )
  - Spektralgeometrie und harmonische Analysis
    (Project Head Juhl, Andreas )
  - Spektralinvarianten singulärer Mannigfaltigkeiten und ihr Deformationsverhalten
    (Project Head Brüning, Jochen )
  - Spektralinvarianten singulärer Mannigfaltigkeiten und ihr Deformationsverhalten
    (Project Head Brüning, Jochen )
  - Spektraltheorie eichperiodischer Operatoren
    (Project Head Brüning, Jochen )
  - Spektraltheorie eichperiodischer Operatoren
    (Project Head Brüning, Jochen )
  - Statistik stochastischer Prozesse und Zinsstrukturen
    (Project Head Küchler, Uwe )
  - Stochastische Analysis von Derivaten
    (Project Heads Föllmer, Hans ; Imkeller, Peter )
  - Stochastische Analysis von Finanzmärkten mit heterogener Information
    (Project Head Imkeller, Peter )
  - Stochastische Optimierung für ökonomische Modelle unter Berücksichtigung von Zeitverzögerungseffekten
    (Project Head Reiß, Markus )
  - Strings, D-Branes, and Manifolds of Special Holonomy
    (Project Heads Farkas, Gavril ; Schmitt, Alexander )
  - Structure of Quantum Field Theory: Hopf Algebras versus Integrability
    (Project Heads Kreimer, Dirk ; Staudacher, Matthias )
CRC/Transregios
- Current projects
  - Bayesian inference and mean field approximation for nonlinear (S)PDE
    (Project Heads Schillings, Claudia ; Spokoiny, Vladimir ; Wang, Sven )
  - Dormant populations in heterogeneous random environments
    (Project Heads König, Wolfgang ; Perkowski, Nicolas ; Wilke-Berenguer, Maite )
  - Integrated Graduate School
    (Project Heads Hante, Falk ; Liers, Frauke ; Marheineke, Nicole )
  - Microstructural foundations of rough volatility models
    (Project Heads Bayer, Christian ; Horst, Ulrich ; Kreher, Dörte )
  - Mixed integer-continuous dynamical systems with partial differential equations
    (Project Heads Hante, Falk ; Leugering, Günter )
  - Mixed integer nonsmooth optimization for bilevel problems
    (Project Heads Liers, Frauke ; Walther, Andrea )
  - Optimal dynamic contracting, enforcement, and ambiguity
    (Project Heads Horst, Ulrich ; Lang, Matthias ; Strausz, Roland )
  - Random batch methods for optimal control of network dynamics
    (Project Heads Hante, Falk ; Zuazua, Enrique )
  - Random interface models, scaling limits and large deviations
    (Project Heads Deuschel, Jean-Dominique ; König, Wolfgang ; Zwicknagl, Barbara )
  - Rough analysis and mean field games
    (Project Heads Friz, Peter Karl ; Horst, Ulrich )
  - Rough analysis in stochastic control
    (Project Heads Bank, Peter ; Horst, Ulrich )
  - Rough backward stochastic differential equations
    (Project Heads Becherer, Dirk ; Friz, Peter Karl )
  - Simulation and control of coupled network differential-algebraic equations
    (Project Heads Marheineke, Nicole ; Tischendorf, Caren )
  - Statistical learning from path observations
    (Project Heads Améndola Cerón, Carlos ; Bayer, Christian ; Reiß, Markus )
  - Statistics for population models with dormancy
    (Project Heads Reiß, Markus ; Wilke-Berenguer, Maite )
  - Strategic decisions under uncertainty in the entry-exit-system
    (Project Heads Schwartz, Alexandra ; Walther, Andrea ; Zöttl, Gregor )
  - Thin films and entropic repulsion for Gaussian Free Field
    (Project Heads Deuschel, Jean-Dominique ; Otto, Felix ; Zwicknagl, Barbara )
- Completed projects
  - Combinatorial switching for routing gas flows
    (Project Heads Grötschel, Martin ; Hiller, Benjamin ; Tischendorf, Caren )
  - Geometric rigidity in spin systems
    (Project Heads Cicalese, Marco ; Zwicknagl, Barbara )
DFG Research Centres
- Completed projects
  - Education
    (Project Head Kramer, Jürg )
  - Finance
    (Project Heads Becherer, Dirk ; Imkeller, Peter )
  - Production
    (Project Heads Carstensen, Carsten ; Hömberg, Dietmar ; Tröltzsch, Fredi )
Research Training Groups
- Current projects
  - GRK 2575: Rethinking Quantum Field Theory
    (Spokesperson Plefka, Jan )
  - GRK 2965: From geometry to numbers: Moduli, Hodge theory, rational points
    (Spokesperson Schreieder, Stefan )
- Completed projects
  - GRK 251: Stochastic Processes and Probabilistic Analysis
    (Spokesperson Scheutzow, Michael )
  - GRK 357: Efficient Algorithms and Multiscale Methods
    (Spokesperson Srivastav, Anand )
  - GRK 621: Stochastic Modelling and Quantitative Evaluation of Large Engineering Systems
    (Spokesperson Hommel, Günter )
  - GRK 1128: Analysis, Numerics, and Optimisation of Multiphase Problems
    (Spokesperson Griewank, Andreas )
  - GRK 1845: Stochastic Analysis with Applications in Biology, Finance and Physics
    (Spokesperson Imkeller, Peter )
  - GRK 2131: High-dimensional Phenomena in Probahility - Fluctuations and Discontinuity
    (Spokesperson Eichelsbacher, Peter )
  - GRK 2433: Differential Equation- and Data-driven Models in Life Sciences and Fluid Dynamics (DAEDALUS)
    (Spokesperson Müller, Wolf-Christian )
International Research Training Groups
- Current projects
  - GRK 2544: Stochastic Analysis in Interaction
    (Spokesperson Bank, Peter )
- Completed projects
  - GRK 870: Arithmetic and Geometry
    (Spokesperson Kramer, Jürg )
  - GRK 1339: Stochastic Models of Complex Processes and their Applications (SMCP)
    (Spokesperson Deuschel, Jean-Dominique )
  - GRK 1792: High Dimensional Non Stationary Time Series
    (Spokesperson Härdle, Wolfgang Karl )
  - GRK 1800: Moduli and Automorphic Forms: Arithmetic and Geometric Aspects
    (Spokesperson Kramer, Jürg )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2046: MATH+: Berlin Mathematics Research Center
    (Spokespersons Hintermüller, Michael ; Pokutta, Sebastian ; Schillings, Claudia ; Schütte, Christof ; Skutella, Martin ; Walther, Andrea )
Graduate Schools
- Completed projects
  - GSC 14: Berlin Mathematical School (BMS)
    (Spokespersons Kramer, Jürg ; Sullivan, Ph.D., John M. ; Ziegler, Günter M. )
Clusters of Excellence
- Completed projects
  - EXC 1027: Image Knowledge Gestaltung. An Interdisciplinary Laboratory
    (Spokespersons Bredekamp, Horst ; Schäffner, Wolfgang )

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