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 .
- 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
- Pohst, Journal for Pure and Applied Mathematics, Vol. 262/263, 1973, p. 420
- 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
- Kai Borre: GPS EASY Suite II: A Matlab Companion. (pdf; 680 kB)
- The name stands for Computational Algebraic Number Theory, the K indicates Immanuel Kant and German origin, homepage of the Kant group
|ALTERNATIVE NAMES||Pohst, Michael E.|
|BRIEF DESCRIPTION||German mathematician|
|DATE OF BIRTH||June 5, 1945|