Michael Pohst

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Michael Pohst (2010)

Michael E. Pohst (born June 5, 1945 ) is a German mathematician who deals with algebraic number theory, computer algebra and algorithmic number theory.

Pohst received his doctorate in 1973 at the University of Cologne under Curt Meyer (multi-class genders of unit forms in totally real algebraic number fields). He was a professor at the University of Düsseldorf and is now a professor at the TU Berlin .

Pohst dealt in particular with the development of algorithms in algebraic number theory, for example to determine class numbers and class groups as well as units, partly with Hans Zassenhaus , with whom he wrote a monograph about it. He and Ulrich Fincke created the Fincke-Pohst algorithm for calculating short and shortest vectors in a number grid . This algorithm is used, for example, in signal evaluation for GPS position determination ( sphere decoding process ).

Pohst heads the development of the number theoretic computer algebra software Kant .

From 1999 to 2002 he was deputy spokesman for the computer algebra group of the DMV , GAMM and GI .

Works

  • with Hans Zassenhaus : Algorithmic algebraic number theory , Cambridge University Press, 1989, 1997
  • with Attila Pethö , Hugh C. Williams , Horst-Günter Zimmer (editors): Computational Number Theory , de Gruyter, 1991
  • as editor: Algorithmic methods in algebra and number theory , Academic Press, 1987 (corresponds to special issue of Journal of Symbolic Computation)
  • Computational algebraic number theory , DMV Seminar Vol. 21, Birkhäuser, 1993
  • with Zassenhaus: About the calculation of class numbers and class groups , Journal for Pure and Applied Mathematics 361, 1985, p. 50
  • Three principal tasks of computational algebraic number theory in R. Mollin: Number theory and applications , NATO Advanced Study Institute, Vol. 265, 1989, Kluwer, pp. 279-324
  • Computing invariants of algebraic number fields in Horst-Günter Zimmer (ed.): Group Theory, Algebra and Number Theory , de Gruyter, 1996, pp. 53-73

He also edited the book by Attila Pethő , Algebraic Algorithms , Vieweg, 1999.

Web links

Individual evidence

  1. ^ Pohst, Journal for Pure and Applied Mathematics, Vol. 262/263, 1973, p. 420
  2. ↑ U. Fincke, M. Pohst: Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Math. Comp., Vol. 44 (1985), No. 170, pp. 463-471
  3. ↑ Kai Borre: GPS EASY Suite II: A Matlab Companion. (pdf; 680 kB)
  4. ↑ The name stands for Computational Algebraic Number Theory, the K indicates Immanuel Kant and German origin, homepage of the Kant group
personal data
SURNAME Pohst, Michael
ALTERNATIVE NAMES Pohst, Michael E.
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH June 5, 1945