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Research Areas in the Mathematical Sciences

Algebra

Alan Huckleberry

  • Complex manifolds
  • Special algebraic varieties
  • Geometry and physics

Ivan Penkov



Dynkin diagrams of simple Lie algebras (excerpt)
  • Representations of finite- and infinite-dimensional Lie algebras
  • Generalized Harish-Chandra modules: algebraic and geometric constructions
  • Structure and representation theory for locally finite Lie algebras and Lie superalgebras
  • Generalized flag realizations of homogeneous ind-varieties
  • Vector bundles of finite rank on homogeneous ind-varieties

Applied Analysis

Marcel Oliver



Simulation of shallow water flow
  • Partial differential equations:
    • mathematical fluid dynamics
    • geophysical fluid dynamics
    • reaction-diffusion equations
  • Numerical Analysis:
    • structure-preserving algorithms

Tobias Preusser



PDE-based flow visualization
  • Partial Differential Equations
    • modeling and simulation of biomedical processes
    • mathematical image processing
    • stochastic PDEs for modeling of uncertain parameters
    • scientific visualization with PDEs
  • Numerical Analysis
    • viscosity solutions for geometric PDEs
  • Numerical Methods
    • efficient numerical implementation for image-based-computing
    • multiscale and multigrid approaches

Dynamical Systems and Ergodic Theory

Keivan Mallahi-Karai



The free product of F3 and F6

  • Infinite groups and their geometric properties
  • Kazhdan's Property (T)
  • Discrete subgroups of Lie groups
  • Dynamics of the Lie group actions and application to number theory
  • Probability
  • Financial Mathematics

Dierk Schleicher



The Mandelbrot set
  • Dynamical systems
    • Holomorphic and symbolic dynamics
    • Newton's root finding algorithm as a dynamical system
  • Complex variables and hyperbolic geometry
  • Conformal and fractal geometry

Mathematical Physics

Peter Schupp



Pyrochlor lattice
  • Mathematical Physics
  • Theoretical Particle Physics
  • Non-commutative Geometry
  • Quantum Gravity
  • Quantum Spin Systems

Mathematics and its Applications

Frank Oliver Glöckner, Professor of Bioinformatics
  • Teaching: Bioinformatics and Computational Biology
  • Research: Marine Bioinformatics, Metagenomics, Ecosystems Biology

Marc-Thorsten Hütt, Professor of Computational Systems Biology
  • Teaching: Nonlinear Dynamics, Computational Systems Biology
  • Research: Biological networks, genome signatures, analysis of spatiotemporal patterns

Herbert Jaeger, Professor of Computational Science
  • Teaching related to ACM: Computability and Complexity
  • Research: Machine learning, neural networks, nonlinear signal processing and pattern recognition (especially speech and handwriting recognition)

Arzhang Khalili, Professor of Computational Science
  • Teaching related to ACM: Fluid Dynamics, Computational Fluid Dynamics
  • Research: Porous media flows, sediment-fluid interaction, biogeochemical modeling

Ulrich Kleinekathöfer, Professor of Physics
  • Teaching: Computational Physics
  • Research: Computational physics and biophysics, in particular wave function calculations for nonlinear spectroscopy, density matrix theory for electron and exciton transfer, large-scale classical molecular dynamics

Michael Kohlhase, Professor of Computer Science
  • Research: Mathematical knowlege representation and management

Lars Linsen, Professor of Computational Science and Computer Science
  • Teaching: Numerical Methods, Graphics and Visualization
  • Research: Visualization, Computer Graphics, Geometric Modeling

Agostino Merico, Professor of Ecology
  • Research: Population dynamics, marine ecology, marine geochemistry; paleoclimate; modeling of interactions between climate, ecology, and social and economic systems

Joachim Vogt, Professor of Physics
  • Teaching related to ACM: ESS Computational Modeling, ESS Data Analysis Techniques
  • Research: Space physics, computational magnetohydrodynamics, analysis of data from magnetospheric satellite missions

 

 
Last updated 2016-06-28, 15:00. © Jacobs University Bremen. All rights reserved.