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My research is based in the interplay between group theory and operator algebras. Some keywords: L^{2}Betti numbers, quantum groups, measure equivalence, locally compact groups, amenability, property (T), quantum metric spaces. For more details, see my personal webpage.


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My research focuses on various aspects of noncommutative geometry and in particular on the investigation of finer invariants relating to the differential geometry of noncommutative manifolds. Keywords include: Unbounded KKtheory, Dirac operators, Quantum metric spaces, Algebraic Ktheory, Operator spaces.


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Research interests
My research focuses on
how the structure of C*algebras can be displayed in the structure of
quantum metric spaces. Keywords: inductive limits, AF algebras, Fell
and Jacobson topologies, quantum metric spaces, GromovHausdorff
propinquity, compact quantum groups.


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Research interests
Quantum metric spaces
Supervisors: Jens Kaad (main supervisor) and David Kyed (cosupervisor)


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Research interests
My current area of interest concerns the interplay between groups and their group cohomologies.
Keywords: Coarse Geometry, L^{2}Bettinumbers, von Neumann Dimension
Supervisor: David Kyed

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