Hans Grauert

Hans Grauert (8 February 1930 in Haren, Emsland, Germany – 4 September 2011) was a German mathematician. He is known for major works on several complex variables, complex manifolds^[1] and the application of sheaf theory in this area, which influenced later work in algebraic geometry.^[2] Together with Reinhold Remmert he established and developed the theory of complex-analytic spaces.^[3] He became professor at the University of Göttingen in 1958, as successor to C. L. Siegel. The lineage of this chair traces back through an eminent line of mathematicians: Weyl, Hilbert, Riemann, and ultimately to Gauss.^[4] Until his death, he was professor emeritus at Göttingen.

Hans Grauert
Grauert in Moscow, 1966
Born	(1930-02-08)8 February 1930
Died	4 September 2011(2011-09-04) (aged 81)
Nationality	German
Alma mater	University of Münster
Known for	Complex analytic space Grauert's theorem Andreotti–Grauert theorem Grauert–Riemenschneider vanishing theorem
Awards	Cantor medal (2008) ICM Speaker (1958, 1962 and 1968)
Scientific career
Fields	Mathematician
Institutions	University of Göttingen
Doctoral advisor	Heinrich Behnke Beno Eckmann
Doctoral students	Wolf Barth

Grauert was awarded a fellowship of the Leopoldina^[5] and the von Staudt Prize.^[5]

Early life

Grauert attended school at the Gymnasium in Meppen before studying for a semester at the University of Mainz in 1949, and then at the University of Münster, where he was awarded his doctorate in 1954.^[5]

See also

• Faltings's theorem
• Levi problem

Publications

• Grauert, Hans (1994), Selected papers. Vol. I, II, Berlin, New York: Springer-Verlag, ISBN 978-3-540-57107-0, MR 1314425
• with Klaus Fritzsche: Several Complex Variables, 1976; hbk{{citation}}: CS1 maint: postscript (link)^[6] Grauert, H.; Fritzsche, K. (6 December 2012). softcover reprint 2012. Springer. ISBN 978-1-4612-9874-8.
• with Klaus Fritzsche: Fritzsche, Klaus; Grauert, Hans (2002), From Holomorphic Functions to Complex Manifolds, Springer, ISBN 978-0-387-95395-3^[7]