Lothar Göttsche

Lothar Göttsche (born January 21, 1961 Sonderburg in Denmark ) is a German mathematician who deals with algebraic geometry.

Live and act

Göttsche studied mathematics from 1982 to 1988 at the University of Kiel and the University of Bonn , where he graduated from Friedrich Hirzebruch in 1989 (The Betti numbers of the Hilbert scheme for sub-schemes of length n on a smooth surface) and obtained his doctorate in 1992 (Hilbert schemes for zero-dimensional sub-schemes of smooth surfaces, published in Lecture Notes in Mathematics Vol. 1572, 1994, Springer Verlag). In 1992/93 he was 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 completed his habilitation in Bonn (Donaldson-invariants and modular forms). He is a Research Scientist at the International Center for Theoretical Physics (ICTP) in Trieste .

Göttsche dealt with modular spaces in algebraic geometry, including the Hilbert schemes of points on algebraic surfaces defined by Alexander Grothendieck . He gave a formula for the generating function of topological invariants, the Betti numbers, the Hilbert scheme of points on algebraic surfaces (over a closed field of characteristic 0) through values of the motivic zeta function. He was also concerned with computing the 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 editor of the journal "Geometry and Topology". He is a fellow of the American Mathematical Society .

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personal data
SURNAME	Gottsche, Lothar
BRIEF DESCRIPTION	German mathematician
DATE OF BIRTH	January 21, 1961
PLACE OF BIRTH	Sonderburg