Complex Analysis of Several Variables

Complex analysis in several variables is a wide field of research; it is a branch of analysis but with strong connections to algebra and geometry. The group currently conducts research in residue theory with connections to commutative algebra, and analysis on singular spaces, e.g., division problems, the dbar-equation, and integral representation. Another research theme in the group is Kähler geometry. The emphasis is on the interplay between Kähler geometry, positivity of direct image bundles and pluripotential theory (notably in connection to Kähler-Einstein metrics and complex Monge-Ampère equations). Connections to convex geometry and Okounkov bodies, as well as to random point processes, are also explored.