Lothar Göttsche

Lothar Göttsche (* January 21 1961 Sønderborg in Denmark ) is a German mathematician who is engaged in algebraic geometry.

Life and work

Göttsche studied 1982-1988 Mathematics at the University of Kiel and the University of Bonn, where he in 1989 at Friedrich Hirzebruch awarded a degree ( n The Betti numbers of the Hilbert scheme of subschemes of length on a smooth surface ) and 1992 received his doctorate ( Hilbert schemes for zero-dimensional subschemes of smooth surfaces, published in Lecture Notes in Mathematics Bd.1572, 1994, Springer Verlag). 1992/93 he worked as a post-doc at the University of Trento, then at the Max Planck Institute for Mathematics in Bonn, at the University of Pisa and the University of Stanford. In 1997 he qualified as a professor in Bonn ( Donaldson invariants and modular forms). He is a researcher (Research Scientist ) at the International Center for Theoretical Physics ( ICTP ) in Trieste.

Göttsche dealt with moduli spaces in algebraic geometry, among other things, as defined by Alexander Grothendieck Hilbert schemes of points on algebraic surfaces. He gave a formula for the generating function of topological invariants, the Betti numbers of the Hilbert schemes of points on algebraic surfaces ( over a closed field of characteristic 0 ) with values ​​of the motivic zeta function. He also dealt with the computation of Donaldson invariants of 4- manifolds.

In 2002 he was invited speaker at the International Congress of Mathematicians (ICM ) in Beijing ( Hilbert Schemes of Points of Surfaces ). He is the editor of the magazine " Geometry and Topology ". He is a Fellow of the American Mathematical Society.