Mathematisches Institut, Institut für Angewandte Mathematik, Institut für Numerische Simulation, Diskrete Mathematik
phone: +49 228 73 2204
general remarks
This department is also included in the
CHE University Ranking.
programmes
=top placement in this indicator
PRESELECTION CRITERIA
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Publications
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472,2
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Citations
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1,4
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Marie Curie projects
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2
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Highly cited authors
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1
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Research Profile
Very fast parallel computer, please click
here for more information. Details also on the
Sonderforschungsbereich 611 website.
RESEARCH Teams
Algebra
Automorphic forms: global analysis and arithmetics - Werner Müller (Mathematical Institute), Michael Rapoport (Mathematical Institute), Gerd Faltings (Max Planck Institute for Mathematics), Jens Franke (Mathematical Institute), Günter Harder (Max Planck Institute for Mathematics), Otmar Venjakob (Mathematical Institute), Don Bernard Zagier (Max Planck Institute for Mathematics)
Trace Formulas, Spectral theory of automorphic forms, Classical modular forms, Eisenstein series, p-adic cohomology and p-adic modular forms, Galois representations and Iwasawa theory, Reduction modulo p of Shimura varieties and Langlands correspondences
Groups of automorphisms
Manifolds and Alexandrov spaces of nonpositive curvature, geometry of Tits buildings
Moduli spaces of geometric structures and deformation theory
Stable homotopy theory, Moduli spaces of sheaves and special algebraic varieties, Teichmüller space and moduli space of curves
Structural and algorithmic complexity
Deskriptive Mengenlehre, Konstruktibilitätstheorie, Rekursionstheorie, Allgemeine Logik, Upper and lower complexity bounds for continuous problems, optimal algorithms, tensor-product constructions, Neural networks
Analysis
Automorphic forms: global analysis and arithmetics - Werner Müller (Mathematical Institute), Michael Rapoport (Mathematical Institute), Gerd Faltings (Max Planck Institute for Mathematics), Jens Franke (Mathematical Institute), Günter Harder (Max Planck Institute for Mathematics), Otmar Venjakob (Mathematical Institute), Don Bernard Zagier (Max Planck Institute for Mathematics)
Trace Formulas, Spectral theory of automorphic forms, Classical modular forms, Eisenstein series, p-adic cohomology and p-adic modular forms, Galois representations and Iwasawa theory, Reduction modulo p of Shimura varieties and Langlands correspondences
Geometric structures in quantum physics
Feynman path integrals, Non-commutative geometry, Mirror symmetry, Infinite dimensions and mathematical physics
Geometry of differential operators: from local to global properties
Spectral analysis of Dirac and Laplace operators, Analysis on metric spaces, Geometry processing and surface modelling with PDEs, Geometric evolution problems
High-dimensional problems and multi-scale methods
Approximation theory, Numerical analysis, Convergence of Monte Carlo Methods, Multiscale and adaptive methods for partial differential equations, Fast methods for nonlocal operators, Sparse grids, dimension-reduction, Dimension-adaptivity, Multiscale and multilevel solvers, Parallelization
Moduli spaces of geometric structures and deformation theory
Stable homotopy theory, Moduli spaces of sheaves and special algebraic varieties, Teichmüller space and moduli space of curves
Shape, pattern, and partial differential equations - Felix Otto (Institute for Applied Mathematics), Martin Rumpf (Institute for Numerical Simulation), Hans Wilhelm Alt (Institute for Applied Mathematics), Jens Frehse (Institute for Applied Mathematics), Stefan Hildebrandt (Mathematical Institute), Herbert Koch (Mathematical Institute), Rolf Krause (Institute for Numerical Simulation)
Nonlinear partial differential equations, pattern formation, Calculus of variations, materials science, Shape optimization, Variational methods in image processing shape spaces, Regularity theory
Stochastics in discrete, singular and infinite dimensional structures
Stochastic PDEs, Functional inequalities, Markov processes, Spectral gaps, Stochastic partial differential equations, Stochastic analysis, Stochastic Riemannian geometry
Discrete mathematics
High-dimensional problems and multi-scale methods
Approximation theory, Numerical analysis, Convergence of Monte Carlo Methods, Multiscale and adaptive methods for partial differential equations, Fast methods for nonlocal operators, Sparse grids, dimension-reduction, Dimension-adaptivity, Multiscale and multilevel solvers, Parallelization
Optimization in large and complex networks
Numerical simulations for PDE-constrained control problems
Stochastics in discrete, singular and infinite dimensional structures
Stochastic PDEs, Functional inequalities, Markov processes, Spectral gaps, Stochastic partial differential equations, Stochastic analysis, Stochastic Riemannian geometry
Structural and algorithmic complexity
Deskriptive Mengenlehre, Konstruktibilitätstheorie, Rekursionstheorie, Allgemeine Logik, Upper and lower complexity bounds for continuous problems, optimal algorithms, tensor-product constructions, Neural networks
Geometry
Automorphic forms: global analysis and arithmetics - Werner Müller (Mathematical Institute), Michael Rapoport (Mathematical Institute), Gerd Faltings (Max Planck Institute for Mathematics), Jens Franke (Mathematical Institute), Günter Harder (Max Planck Institute for Mathematics), Otmar Venjakob (Mathematical Institute), Don Bernard Zagier (Max Planck Institute for Mathematics)
Trace Formulas, Spectral theory of automorphic forms, Classical modular forms, Eisenstein series, p-adic cohomology and p-adic modular forms, Galois representations and Iwasawa theory, Reduction modulo p of Shimura varieties and Langlands correspondences
Geometric structures in quantum physics
Feynman path integrals, Non-commutative geometry, Mirror symmetry, Infinite dimensions and mathematical physics
Geometry of differential operators: from local to global properties
Spectral analysis of Dirac and Laplace operators, Analysis on metric spaces, Geometry processing and surface modelling with PDEs, Geometric evolution problems
Groups of automorphisms
Manifolds and Alexandrov spaces of nonpositive curvature, geometry of Tits buildings
Moduli spaces of geometric structures and deformation theory
Stable homotopy theory, Moduli spaces of sheaves and special algebraic varieties, Teichmüller space and moduli space of curves
Structural and algorithmic complexity
Deskriptive Mengenlehre, Konstruktibilitätstheorie, Rekursionstheorie, Allgemeine Logik, Upper and lower complexity bounds for continuous problems, optimal algorithms, tensor-product constructions, Neural networks
Logic and Set Theory
Structural and algorithmic complexity
Deskriptive Mengenlehre, Konstruktibilitätstheorie, Rekursionstheorie, Allgemeine Logik, Upper and lower complexity bounds for continuous problems, optimal algorithms, tensor-product constructions, Neural networks
Numerics
High-dimensional problems and multi-scale methods
Approximation theory, Numerical analysis, Convergence of Monte Carlo Methods, Multiscale and adaptive methods for partial differential equations, Fast methods for nonlocal operators, Sparse grids, dimension-reduction, Dimension-adaptivity, Multiscale and multilevel solvers, Parallelization
Shape, pattern, and partial differential equations - Felix Otto (Institute for Applied Mathematics), Martin Rumpf (Institute for Numerical Simulation), Hans Wilhelm Alt (Institute for Applied Mathematics), Jens Frehse (Institute for Applied Mathematics), Stefan Hildebrandt (Mathematical Institute), Herbert Koch (Mathematical Institute), Rolf Krause (Institute for Numerical Simulation)
Nonlinear partial differential equations, pattern formation, Calculus of variations, materials science, Shape optimization, Variational methods in image processing shape spaces, Regularity theory
Structural and algorithmic complexity
Deskriptive Mengenlehre, Konstruktibilitätstheorie, Rekursionstheorie, Allgemeine Logik, Upper and lower complexity bounds for continuous problems, optimal algorithms, tensor-product constructions, Neural networks
Statistics and stochastics
High-dimensional problems and multi-scale methods
Approximation theory, Numerical analysis, Convergence of Monte Carlo Methods, Multiscale and adaptive methods for partial differential equations, Fast methods for nonlocal operators, Sparse grids, dimension-reduction, Dimension-adaptivity, Multiscale and multilevel solvers, Parallelization
Optimization in large and complex networks
Numerical simulations for PDE-constrained control problems
Stochastic market models and aggregation
Interplay between control, finance and insurance, Financial derivatives pricing, Portfolio optimization, Numerical discretization of stochastic differential equations, High dimensional numerical integration, Solvers for free boundary value problems, Sparse grid methods, Parallelization
Stochastics in discrete, singular and infinite dimensional structures
Stochastic PDEs, Functional inequalities, Markov processes, Spectral gaps, Stochastic partial differential equations, Stochastic analysis, Stochastic Riemannian geometry
Theory of numbers
Automorphic forms: global analysis and arithmetics - Werner Müller (Mathematical Institute), Michael Rapoport (Mathematical Institute), Gerd Faltings (Max Planck Institute for Mathematics), Jens Franke (Mathematical Institute), Günter Harder (Max Planck Institute for Mathematics), Otmar Venjakob (Mathematical Institute), Don Bernard Zagier (Max Planck Institute for Mathematics)
Trace Formulas, Spectral theory of automorphic forms, Classical modular forms, Eisenstein series, p-adic cohomology and p-adic modular forms, Galois representations and Iwasawa theory, Reduction modulo p of Shimura varieties and Langlands correspondences
Others
Geometric structures in quantum physics
Feynman path integrals, Non-commutative geometry, Mirror symmetry, Infinite dimensions and mathematical physics
High-dimensional problems and multi-scale methods
Approximation theory, Numerical analysis, Convergence of Monte Carlo Methods, Multiscale and adaptive methods for partial differential equations, Fast methods for nonlocal operators, Sparse grids, dimension-reduction, Dimension-adaptivity, Multiscale and multilevel solvers, Parallelization
Optimization in large and complex networks
Numerical simulations for PDE-constrained control problems
Stochastic market models and aggregation
Interplay between control, finance and insurance, Financial derivatives pricing, Portfolio optimization, Numerical discretization of stochastic differential equations, High dimensional numerical integration, Solvers for free boundary value problems, Sparse grid methods, Parallelization
Stochastics in discrete, singular and infinite dimensional structures
Stochastic PDEs, Functional inequalities, Markov processes, Spectral gaps, Stochastic partial differential equations, Stochastic analysis, Stochastic Riemannian geometry
staff and students
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Staff (with a doctoral degree)
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80
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Female staff
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37,5 %
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International staff
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Doctoral students
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99
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Female doctorates
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20,0 %
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International doctorates
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30,4 %
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Master's students
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Female master's students
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International master's students
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students' judgements
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Overall study situation (mas.&doc.)
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1,6
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Advisory (mas.&doc.)
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2,3
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Career centers (mas.&doc.)
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3,3
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Examinations (mas.&doc.)
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1,9
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Laboratories (mas.&doc.)
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Library (mas.&doc.)
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1,9
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Training (mas.&doc.)
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2,0
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Study organisation (mas.&doc.)
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2,4
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IT-infrastructure (mas.)
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1,7
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Counselling (mas.)
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2,2
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Websites (mas.)
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2,1
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Rooms (mas.)
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1,8
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Social relations (mas.)
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1,7
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Conference attendance (doc.)
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2,0
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Contact with other students (doc.)
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2,7
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Publication possibilities (doc.)
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2,4
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Research community (doc.)
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2,3
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Teamwork (doc.)
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2,1
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Time for PhD project (doc.)
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1,9
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Workroom (doc.)
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1,9
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Workshops (doc.)
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1,8
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Research stay (doc.)
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2,4
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funding and counselling
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Funding for international master's students
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ERASMUS-Project
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Counselling by students
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Counselling by academic staff
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counselling for international students
Prof. Dr. C.-F. Bödigheimer
+49 228 737794
cfb@math.uni-bonn.de
special features