English: Having done my PhD at Jagiellonian University in Kraków, I moved to Universität Siegen for a postdoc, and recently found myself in superposition between RCQI Bratislava and TU Wien. A large part of my interests in quantum information is mathematical: e.g., how to describe the geometry of expectation values, or correlations of two variables, and what the consequences of particular shapes are. Such questions have inexplicably spilled into other subfields of quantum theory, and recently I started research in stabilizer formalism, special structures arising from quantum operations preserving specified symmetries, and a version of quantum control problems where the evolution has to be time-invariant.