Research Group Greb

Director:   Prof. Dr. Daniel Greb

Phone: +49 / (0)201 / 18-36898 , Email: daniel.greb - at - uni-due.de

Secretary:   Martina Striebeck

Phone: +49 / (0)201 / 18-32421 , Email: martina.striebeck - at - uni-due.de

Research Area: Algebraic Geometry and Complex Geometry

• Birational geometry of higher-dimensional varieties
• Structure theory of compact Kähler manifolds
• Singularities of the Minimal Model Program

• Geometry of varieties with trivial canonical bundle / hyperkähler manifolds
• Kähler-Einstein metrics on singular spaces
• Twistor theory

• Geometric Invariant Theory
• Hamiltonian group actions and momentum maps
• Stability conditions and quotients

• Kobayashi-Hitchin correspondence
• Nonabelian Hodge theory
• Geometry of period domains
• Uniformisation of compact complex spaces
• Moduli spaces of (multiscale differentials on) curves