Friedrich E.P. Hirzebruch (born 17 October 1927) is a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. October 17 is the 290th (in leap years the 291st) day of the year according to the Gregorian calendar. ... 1927 was a common year starting on Saturday (link will take you to calendar). ... Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with the study of topological spaces. ... In differential geometry, a complex manifold is a manifold such that every neighborhood looks like the complex n-space. ... Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. ...

He was born in Hamm, Westphalia. He studied at the University of Münster from 1945-1950, with one year at ETH Zürich. He then had a position at Erlangen, followed by the years 1952-54 at IAS in Princeton, New Jersey. After one year at Princeton University 1955-56, he was made a professor at the University of Bonn, where he remained, becoming director of the Max-Planck-Institut für Mathematik in 1981. Map of Germany showing Hamm Hamm is a city in North Rhine-Westphalia, Germany. ... Westphalia (German: Westfalen) is a region in Germany, centred on the cities of Dortmund, Münster, Bielefeld, and Osnabrück and included in the states of North Rhine-Westphalia and Lower Saxony. ... The University of Münster (German Westfälische Wilhelms-Universität Münster, WWU) is a public university located in the city of Münster in Germany. ... ETH Zurich (from its German name Eidgenössische Technische Hochschule Zürich, ETHZ) is the Swiss Federal Institute of Technology in Zürich, Switzerland. ... Erlangen around 1915 Erlangen is a German city in Middle Franconia. ... IAS stands for: Indicated Airspeed Ideal Adsorbed Solution - thermodynamic theory of adsorption of Minka and Myers International Accounting Standards International Adsorption Society Institute for Advanced Study Institute for Anarchist Studies The IAS computer built at the Institute for Advanced Study Institute of the Aeronautical Sciences International Association of Scientologists Indian... Princeton highlighted in Mercer County. ... For other Princetons, see Princeton. ... The main building, viewed from the Hofgarten. ... The Max-Planck-Institut für Mathematik is a mathematical research institute located in Bonn, Germany. ...

The Hirzebruch-Riemann-Roch theorem (1954) for complex manifolds was a major advance and quickly became part of the mainstream developments around the classical Riemann-Roch theorem; it was also a precursor of the Atiyah-Singer index theorem. Hirzebruch's book Neue topologische Methoden in der algebraischen Geometrie (1956) was a basic text for the 'new methods' of sheaf theory, in complex algebraic geometry. He went on to write the foundational papers on topological K-theory with Michael Atiyah, and collaborate with Armand Borel on the theory of characteristic classes. In his later work he provided a detailed theory of Hilbert modular surfaces, working with Don Zagier. In mathematics, specifically in complex analysis and algebraic geometry, the Riemann-Roch theorem is an important tool in the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles. ... In the mathematics of manifolds and differential operators, the Atiyah-Singer index theorem is an important unifying result that connects topology and analysis. ... In mathematics, a sheaf F on a given topological space X gives a set or richer structure F(U) for each open set U of X. The structures F(U) are compatible with the operations of restricting the open set to smaller subsets and gluing smaller open sets to obtain... The topic of K-theory spans the subjects of algebraic topology, abstract algebra and some areas of application like operator algebras and algebraic geometry. ... Sir Michael Francis Atiyah, OM (born 22 April 1929) is a mathematician who was born in London. ... Armand Borel (21 May 1923 - 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced Study, Princeton from 1957 to 1993. ... In mathematics, the idea of characteristic class is one of the unifying geometric concepts in algebraic topology, differential geometry and algebraic geometry. ... Don Bernhard Zagier (1951 - ) is an American mathematician. ...

He was awarded a Wolf Prize in Mathematics in 1988 and the Cantor medal in 2004 amongst many other honours. Past winners of the Wolf Prize in Mathematics: 1978 Israel M. Gelfand, Carl L. Siegel 1979 Jean Leray, André Weil 1980 Henri Cartan, Andrei Kolmogorov 1981 Lars Ahlfors, Oscar Zariski 1982 Hassler Whitney, Mark Grigoryevich Krein 1983/4 Shiing S. Chern, Paul Erdős 1984/5 Kunihiko Kodaira, Hans... The Cantor medal of the Deutsche Mathematiker-Vereinigung is named in honor of Georg Cantor. ...

See also: Atiyah-Hirzebruch spectral sequence.