My general interest are categorical methods in algebra, analysis, quantum computation and topology. Recently, I have been concentrating on the following: dagger compact closed categories, Frobenius and dagger Frobenius objects in monoidal categories, graphical calculi in categories with structure, categorical properties of strutures in Hilb and FdHilb, how bicategories can be used to gain a deeper insight into the above structures/ideas and Hausdorff and Gromov distances in quantale enriched categories.
