My research interests are mostly in analysis, usually around the fields of operator algebras, operator theory and functional analysis. My work is also related to one-sided dynamics and non-commutative convex algebraic geometry.

More specifically, I study operator structures such as operator algebras and C*-algebras, and am interested in the classification of / the relation between various operator constructs arising from dynamical objects such as Markov chains, graphs and completely positive maps.

I am also interested in problems concerning matrix convex sets, such as interpolation of completely positive maps and inclusion problems between matrix domains defined via a linear operator inequality.