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Mathematical Physics investigates the geometry and analysis of mathematical structures at the interface between theoretical physics and pure mathematics, as discussed, e.g., in superstring theories and quantum field theories. Moreover, with the new Large Hadron Collider (LHC) at CERN particle physics is at the onset of a new era, which renders this topical field highly timely. A related but differently oriented research field is "Complex Dynamics" that currently finds its most interesting applications in climate research and in the physics of biomacromolecules.