I am an assistant professor in mathematics at the department of mathematics and natural sciences at BTH.
My research mainly revolves around finding suitable algebraic analogs of useful concepts and ideas from fibre bundle theory and generalizing the corresponding classical results to the setting of noncommutative geometry. In this context, the notion of a free action of a quantum group on a C*-algebra is of particular interest and provides a natural framework for noncommutative principal bundles.
Furthermore, I am interested in noncommutative algebra, especially in epsilon-strongly graded rings which have recently been introduced by Nystedt, Öinert, and Pinedo. The later objects are a generalization of free coactions of complex group rings and, as such, of noncommutative principal bundles.