/ School of Mathematics
Several Complex Variables
Mihai Paun is interested in problems arising from global complex geometry. The main techniques used to treat these questions have their origin in several complex variables and partial differential equations. In this spirit, he has obtained (jointly with Jean-Pierre Demailly) a numerical characterization of the Kaehler cone of a compact manifold; this result parallels the celebrated Nakai-Moishezon criteria in algebraic geometry.
His current research concerns the extension properties of twisted pluricanonical forms (with applications to birational geometry) and also the analysis of complex Kaehler manifolds endowed with conic singularities metrics.