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DEPARTMENT OF MATHEMATICS

AAU / Department of Mathematics / Research groups

Research groups

The spectrum of research at the Department ranges from theoretical basics to specific applications. The fields of research represented here cover an especially wide area within mathematics (especially when measured against the absolute staffing level of the Department):

  • Discrete Mathematics

    Algebra and number theory, graph theory, analysis of algorithms, analytic combinatorics, cryptography

  • Dynamic Systems

    Non-autonomous and numerical dynamics, bifurcation theory

  • Inverse Problems

    Regularisation, image processing, parameter identification in partial differential equations, non-linear acoustics, hysteresis models

  • Optimisation

    Algorithms for NP-hard combinatorial and for continuous convex and non-convex optimisation, semi-definite programming, active set methods

There are active cooperation projects between these fields of research and with the Department of Statistics, including those within the framework of the “Modelling – Simulation – Optimisation” at Karl Popper Doctoral College.

A complete list of all research projects at the Department of Mathematics can be found in the Research Documentation (FoDok).

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