Topology, geometry and dynamics of foliations, in particluar holomorphic or transversely holomorphic ones.
Holomorphic and transversely holomorphic foliations constitute one of distinguished classes
There is a long history of studies which continues today.
I am studying them mainly from the viewpoints of differential topology, e.g., ones using characteristic classes, Fatou-Julia decompositions.
Foliations, Dynamical systems, Geometric structures, Characterisic classes, Fatou set, Julia set.