Chair of Geometric Methods in Mathematics

ulrich.kraehmer@tu-dresden.de

WIL/B218, Willersbau, Zellescher Weg 12-14, 01069 Dresden (office)

The paintings in the above photo are two of the larger ones from Josef Alber's Homage to the Square series and belong to the Neue Nationalgalerie, Berlin.

What I do

My mathematical interests include homological algebra and category theory ((co)homology of algebraic structures, Hochschild and cyclic (co)homology, E_n-algebras, monoidal categories, operads), noncommutative geometry (spectral triples, residue cocycles, covariant differential calculi), and the theory of Hopf algebras and related structures (Yetter-Drinfel'd modules, quantum homogeneous spaces, Lie-Rinehart algebras, racks, Hopf algebroids, Hopf monads).