Local Theory.- Complex Manifolds.- Kähler Manifolds.- Vector Bundles.- Applications of Cohomology.- Deformations of Complex Structures.

Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.

Brief career details:

Studies of math at Humboldt University Berlin and Max-=Planck-Institute Bonn 1985-1992.

Post-doctorial positions at Inst. for Advanced Study Priceton, Ecole Normale Supérieure Paris, Max-Planck-Inst Bonn, University Essen, IHES Paris.

Professor: Cologne 1998-2002, Paris since 2002.

Easily accessible

Includes recent developments

Assumes very little knowledge of differentiable manifolds and functional analysis

Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)