Research areas:

The research interests of this group lie mainly in the area of geometric and quantitative Complex Analysis incorporating many methods of real analysis. Geometry, Analysis, Topology and Algebra interact in this area in a natural way, generating a great richness of still unexplored phenomena. Applications thereof can be found in many subjects of Pure Mathematics (Analysis, Algebraic/Analytic Geometry, Number Theory, Topology etc.) but also in recent Theoretical Physics in Scientific Computing.

Main topics of reasearch of this group:

• Pluripotential Theory (and Green's functions)
• Polynomial and Rational Convexity
• Solutions of the Cauchy-Riemann equations with estimates
• Quantitative aspects of Bergmann theory
• Convexity properties of quasi-projective varieties
• Differentiability on general complex spaces
• The Levi problem for singular complex spaces
• Geometry and cohomology of complex manifolds
• Analysis on singular complex spaces
• q-plurisbuharmonic functions and q-pseudoconvex sets