Hardly any two different scientific disciplines have greater overlap and common
ground as regards matters of epistemology, scientific methodology, structure and
the psychology of learning than Mathematics and (theoretical) Physics.
As by chance and unexpectedly, nearly the same structures surface on the one hand in the abstract Arithmetic Geometry/Number Theory (monoidal categories, motives, Kac-Moody- und Vertex-Algebras, automorphic forms) as well as in Differential Geometry/Topology (singular Calabi-Yau manifolds, stratified spaces, middle cohomology, Higgs-bundles) and on the other hand in String theory (Ftheory on elliptic fibered 4-manifolds, D-branes and „geometric engineering“ of Gauge theories, AGT as modern generalization of the Seiberg-Witten-theory).
Again, quantum field theory and statistical mechanics are closely interwoven with Stochastic and Analysis, relations stretching from Feynman-Kac representations - passing the theory of large deviations - to the application of supersymmetric and conformal methods to questions of random geometry.
This natural interdisciplinary between Mathematics and Physics is as old as the disciplines themselves and has become increasingly imperceptible along these lines – wrongly so as the most recent developments mentioned above as well as many earlier examples not only have linked but also profoundly influenced both disciplines and created new subareas within them.
- to encourage students and prospective PhD-students to choose the subjects of their thesis from the intersection of both disciplines and have a mathematician and a physicist as simultaneous advisers.
- to prepare the ground for an intensive exchange through common colloquia and smaller workshops 1-2 times per semester and through this web site: within an open atmosphere and if possible without formal barriers a dialogue is aimed at offering access especially to young students and young scientists.
- to initiate common activities for graduates and preliminary courses (especially preparatory to common conferences, see also below), which illuminate subjects of mathematical physics from different perspectives. From this many new questions for current research and ideally also interdisciplinary solutions or stimuli for the individual disciplines will arise.