Daniel Huybrechts (9 November 1966) is a German mathematician, specializing in algebraic geometry.
Huybrechts studied mathematics from 1985 at the Humboldt University of Berlin, where in 1989 he earned his Diplom with Diplom thesis supervisor Herbert Kurke. In 1990âÂÂ1992 Huybrechts studied at the Max Planck Institute for Mathematics in Bonn, where he earned his PhD in 1992 under Herbert Kurke with thesis Stabile Vektorbündel auf algebraischen Flächen. Tjurins Methode zum Studium der Geometrie der Modulräume. In the academic year 1994âÂÂ1995 he was at the Institute for Advanced Study and in 1996 at IHES. In 1996 he was a research assistant at the University of Essen, where in 1998 he earned his Habilitation. In 1997âÂÂ1998 he was at the ÃÂcole normale supérieure. He was a professor in 1998âÂÂ2002 at the University of Cologne and in 2002âÂÂ2005 at the ÃÂcole polytechnique (Chargé de Cours) and, simultaneously, at the University of Paris VII. Since 2005 he has been a professor at the University of Bonn.
Huybrechts does research on K3 surfaces and their higher-dimensional analogues (compact hyperkähler manifolds) and moduli spaces of sheaves on varieties.
In 2010 he was an invited speaker at the International Congress of Mathematicians in Hyderabad and gave a talk Hyperkähler Manifolds and Sheaves.