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
The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions. The name of the field dealing with the properties of function of several complex variables is called several complex variable ...
,
complex manifold
In differential geometry and complex geometry, a complex manifold is a manifold with an atlas of charts to the open unit disc in \mathbb^n, such that the transition maps are holomorphic.
The term complex manifold is variously used to mean a com ...
s
and the application of
sheaf theory
In mathematics, a sheaf is a tool for systematically tracking data (such as sets, abelian groups, rings) attached to the open sets of a topological space and defined locally with regard to them. For example, for each open set, the data could ...
in this area, which influenced later work in
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
.
[Bauer, I. C. ''et al.'' (2002]
Complex geometry: collection of papers dedicated to Hans Grauert
Springer. Together with
Reinhold Remmert
Reinhold Remmert (22 June 1930 – 9 March 2016) was a German mathematician. Born in Osnabrück, Lower Saxony, he studied mathematics, mathematical logic and physics in Münster. He established and developed the theory of complex-analytic spaces ...
he established and developed the theory of
complex-analytic space
In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety Complex analytic variety (or just variety) is sometimes required to be irreducible
and (or) reduced or complex analytic space is a general ...
s. He became professor at the
University of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
in 1958, as successor to
C. L. Siegel
Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory. He is known for, amongst other things, his contributions to the Thue–Siegel–Roth theorem in Diophantine approximation, ...
. The lineage of this chair traces back through an eminent line of mathematicians:
Weyl
Hermann Klaus Hugo Weyl, (; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is ass ...
,
Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many ...
,
Riemann
Georg Friedrich Bernhard Riemann (; 17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rig ...
, and ultimately to
Gauss
Johann Carl Friedrich Gauss (; german: Gauß ; la, Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes refer ...
.
[Grauert, H. (1994]
Selected Papers
Springer. Until his death, he was professor emeritus at Göttingen. He is currently unemployed.
Grauert was awarded a fellowship of the
Leopoldina Leopoldina may refer to:
* Colônia Leopoldina, a Brazilian municipality in the state of Alagoa
* Leopoldina, Minas Gerais, a Brazilian municipality in the state of Minas Gerais
* Maria Leopoldina of Austria (1797-1826), consort of emperor Pedro I ...
.
Early life
Grauert attended school at the
Gymnasium in
Meppen
Meppen (; Northern Low Saxon: ''Möppen'') is a town in and the seat of the Emsland district of Lower Saxony, Germany, at the confluence of the Ems (river), Ems, Hase, and Nordradde rivers and the Dortmund–Ems Canal (DEK). The name stems from t ...
before studying for a
semester at the
University of Mainz
The Johannes Gutenberg University Mainz (german: Johannes Gutenberg-Universität Mainz) is a public research university in Mainz, Rhineland Palatinate, Germany, named after the printer Johannes Gutenberg since 1946. With approximately 32,000 stu ...
in 1949, and then at the
University of Münster
The University of Münster (german: Westfälische Wilhelms-Universität Münster, WWU) is a public university, public research university located in the city of Münster, North Rhine-Westphalia in Germany.
With more than 43,000 students and over ...
, where he was awarded his doctorate in 1954.
[
]
See also
*Andreotti–Grauert theorem In mathematics, the Andreotti–Grauert theorem, introduced by , gives conditions for cohomology groups of coherent sheaves
In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a class of shea ...
* Grauert's theorem
*Levi problem In mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a complex submanifold of the vector space of ''n'' complex dimensions. They were introduced by and named after . A Stein space is similar to a St ...
Publications
*
*with Klaus Fritzsche:
*with Klaus Fritzsche:
References
External links
*
photo
of Hans Grauert at Oberwolfach
Oberwolfach ( gsw, label= Low Alemannic, Obberwolfä) is a town in the district of Ortenau in Baden-Württemberg, Germany. It is the site of the Oberwolfach Research Institute for Mathematics, or Mathematisches Forschungsinstitut Oberwolfach.
Ge ...
1930 births
2011 deaths
20th-century German mathematicians
21st-century German mathematicians
People from Emsland
Complex analysts
Johannes Gutenberg University Mainz alumni
University of Münster alumni
University of Göttingen faculty
{{Germany-mathematician-stub