Bas Edixhoven

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Sebastiaan Johan "Bas" Edixhoven (born March 12, 1962 in Leiden ) is a Dutch mathematician who deals with number theory and arithmetic algebraic geometry .

Edixhoven, Oberwolfach 2008

life and work

Edixhoven studied at the University of Utrecht , where he received his diploma in 1985 and his doctorate in 1989 under Frans Oort (and Bert van Geemen ) ( stable models of modular forms and applications ). From 1989 to 1991 he was an assistant professor at the University of California, Berkeley and then a year as a Huygens scholar in Utrecht. From 1992 to 2002 he was professor at the University of Rennes I (from 1998 with full professorship) and then professor at the University of Leiden . In 1997 he was Miller Visiting Professor at Berkeley and in 1998 at the Tata Institute of Fundamental Research .

Edixhoven partly achieved results with his student Andrei Yafaev in relation to the conjecture of Yves André and Frans Oort about sub-varieties of Shimura varieties, that is, he gave evidence for special cases. In addition to arithmetic algebraic geometry, modular forms and number theory, he deals with error-correcting codes (which he researched on behalf of the French Ministry of Defense and Canon ).

Since 2003 he has been co-editor of Compositio Mathematica and from 1998 to 2004 of the Journal de Theory des Nombres des Bordeaux. He is co-editor of Expositiones Mathematicae and the Journal of Number Theory.

From 1989 to 1992 he was a Constantin and Christiaan Huygens Fellow of the Dutch Research Organization (NWO). From 1995 to 2002 he was a member of the Institut Universitaire de France. He has been a member of the Dutch Academy of Sciences since 2009 (after being a corresponding member in 2001). In 2008 he was invited speaker at the European Congress of Mathematicians ( On the computation of coefficients of modular forms ).

Andrei Yafaev and Gabor Wiese are among his PhD students .

Fonts

  • Serre's Conjecture , in Gary Connell, Joseph Silverman , Glenn Stevens (editors) Modular forms and Fermat's Last Theorem , Springer 1997 (on the role of the Serre conjecture in the way of proving the Fermat conjecture by Andrew Wiles he also wrote in Gazette des Mathematiciens, October 1995)
  • with Jan-Hendrik Evertse (editor) Diophantine approximation and abelian varieties , Lecture Notes in Mathematics, Volume 1566, Springer 1993, 2nd edition 1997
  • On the computation of coefficients of a modular form , in F. Hess, S. Pauli, Michael Pohst (editor) Algorithmic Number Theory (ANTS VII, Berlin), Lecture Notes in Computer Science, Volume 4076, Springer 2006

Web links

Individual evidence

  1. ^ Inaugural lecture 2004 in Leiden Van piramides tot modulaire krommen (From pyramids to modular surfaces), Nieuw Archief voor Wiskunde, June 2004
  2. ↑ Premier Class
  3. ↑ Edixhoven Special points on the product of two modular curves , Compositio Mathematica, Volume 114, 1998, p. 315, Edixhoven On the André-Oort conjecture for Hilbert Modular Surfaces , in Carel Faber, Gerard van der Geer , Frans Oort (editor) Moduli of Abelian Varieties , Texel 1999, Birkhäuser 2001, Edixhoven, Yafaev Subvarieties of Shimura Varieties , Annals of Mathematics, Volume 157, 2003, pp. 621–645. Assuming the generalized Riemann conjecture, the André-Oort conjecture was proven in 2006 by Yafaev, Emmanuel Ullmo and Bruno Klingler
personal data
SURNAME Edixhoven, Bas
ALTERNATIVE NAMES Edixhoven, Sebastiaan Johan
BRIEF DESCRIPTION Dutch mathematician
DATE OF BIRTH March 12, 1962
PLACE OF BIRTH Suffer