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 .


  • 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