© Monika Krähmer

Chair of Geometric Methods in Mathematics

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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).