Daniel Lazard

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Daniel Lazard (born December 10, 1941 in Carpentras ) is a French mathematician who deals with commutative algebra and computer algebra. He was a professor at the University of Paris VI .

Lazard studied from 1960 at the École normal supérieure and received his doctorate in 1968 with Pierre Samuel at the University of Paris. His dissertation Autour de la platitude gave a characterization of the flatness for modules : A module is flat if and only if it is the direct limit of finitely generated free modules. As a result of its criterion, it can be shown that every finally presented flat module is projective . Soon after, he turned to computer algebra, specifically the solving of systems of equations of polynomials. In the early 1970s he was Maître de conférences at the University of Paris VII and then at the Faculté des Sciences in Poitiers.

He is not to be confused with the mathematician Michel Lazard , who also studied algebra.

Fonts

  • Résolution des systèmes d'équations algébriques , Theoretical Computer Science, Volume 15, 1981, pp. 77-110
  • Solving zero-dimensional algebraic systems , Journal of Symbolic Computation, Volume 13, 1992, pp. 117-131
  • Thirty years of Polynomial System Solving, and now? , Journal of Symbolic Computation, special issue in honor of Daniel Lazard, Volume 44, 2009, Issue 3, pp. 222-231
  • Solving quintics by radicals , in Olav Laudal, Ragni Piene: The legacy of Niels Henrik Abel , Springer Verlag 2004, pp. 207-225
  • with Jean-Charles Faugère, P. Gianni, T. Mor: Efficient computation of zero-dimensional Groebner bases by change of ordering , J. Symbolic Comput., Volume 16, 1993, pp. 329-344.

Individual evidence

  1. ↑ Daniel Lazard in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Lazard Autour de la platitude , Bulletin de la Société Mathématique de France, Volume 97, 1969, pp. 81–128, numdam ( Memento of the original of August 6, 2014 in the Internet Archive ) Info: The archive link was inserted automatically and not yet checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.numdam.org
  3. ↑ He published his criterion in Lazard Sur les modules plats , CR Acad. Sci. Paris 258, 6313-6316 (1964)
  4. ↑ Member Directory SMF, Bulletin SMF 1972
  5. ↑ Bulletin SMF 1974
  6. ↑ English translation of ACM SIGSAM Bulletin, Volume 35, Issue 3, 2001, pp 11-37
personal data
SURNAME Lazard, Daniel
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH December 10, 1941
PLACE OF BIRTH Carpentras