Rolf-Peter Holzapfel

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Rolf-Peter Holzapfel (born September 9, 1942 in Berlin ) is a German mathematician who deals with algebraic geometry and arithmetic algebraic geometry.

Live and act

Holzapfel studied from 1961 to 1966 at the Humboldt University in Berlin and then worked there as a research assistant. His diploma thesis ideal theory in µ-noether's rings (1966) and his dissertation ideal theory in abelian categories (defense 1970) were supervised by Emmy-Noether student Heinrich Grell , with the support of Lothar Budach . From 1972 he was a lecturer in mathematics at the Humboldt University and from 1979 to 1992 a research assistant at the Karl Weierstrass Institute of the Academy of Sciences of the GDR in Berlin. In 1973/74 he conducted research at the Steklov Institute in Leningrad with Boris Venkov . In 1989/1990 he was visiting professor at the ETH Zurich and, after the fall of the Wall, initially a research assistant in the Max Planck group "Algebraic Geometry and Number Theory" at Humboldt University. From 1993 Holzapfel was Professor of Algebraic Geometry at the Humboldt University, where he has now retired.

Among other things, he examined the connections between the theory of elliptic functions and their generalizations in algebraic number theory from the context of "Kronecker's youthful dream", which is the subject of one of Hilbert's problems and the construction of Abelian extensions of algebraic number fields using special values ​​of the module function and elliptic functions related. Another focus was on certain classical nonlinear partial differential equations, which have already been investigated by Leonhard Euler , Bernhard Riemann and Emile Picard , and which are related to functions on algebraic surfaces that can be represented as branched quotients of the complex unit ball of dimension 2 (so-called " Ball quotient ").

In 1985 Holzapfel received the Leonhard Euler Medal from the Academy of Sciences of the GDR and in 1982 he gave its Euler lecture on two-dimensional periodic function theory of the sphere .

Fonts

  • The ball and some Hilbert problems , Birkhauser, 1995
  • Ball and Surface Arithmetics , Vieweg, 1998
  • Geometry and arithmetic around Euler partial differential equations , Deutscher Verlag der Wissenschaften, Berlin 1986, Dordrecht, Reidel 1986 Review by Peter Stiller, BAMS, 1988
  • as editor: Arithmetic and geometry around hypergeometric functions, Lecturenotes of a CIMPA summer school, Galatasaray University Istanbul, Birkhäuser, 2007
  • with Lothar Budach : Localizations and Grothendieck categories , Deutscher Verlag der Wissenschaften, Berlin 1975

Web links

References

  1. ^ Mathematics Genealogy Project , with list of doctoral candidates
  2. ↑ Holzapfel: A voyage with 3 balloons, Mathematical Intelligencer 12, 1990, No. 1, p. 33
personal data
SURNAME Holzapfel, Rolf-Peter
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH September 9, 1942
PLACE OF BIRTH Berlin