We work on calculus of a wide breadth, including analytic index theory, elliptic boundary value problems, manifolds with singularities, pseudo-differential operators, multizeta functions as parts of mathematics, as well as regularisation and renormalisation methods in quantum field theory. Analysis, a foundation of mathematics, offers many points of contact with other areas of mathematics such as geometry and operator theory, but also with physics. Thanks to these multifaceted relationships and its long tradition, this discipline - despite its advanced age - remains in full swing and forms a central building block of today's mathematics.
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