William Messing

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William Messing in Oberwolfach 2008

William Messing is an American mathematician who studies arithmetic algebraic geometry .

Brass received his PhD from Princeton University in 1971 with Alexander Grothendieck (and Nicholas Katz ) ( The Crystals Associated to Barsotti-Tate Groups: With Applications to Abelian Schemes ). In 1972 he was a Moore Instructor at the Massachusetts Institute of Technology . He is a professor at the University of Minnesota ( Minneapolis ).

Brass dealt, among other things, with the elaboration of a program presented by Grothendieck for the description of p-divisible groups (Barsotti- Tate groups), which are important for algebraic geometry in prime number characteristics, using the theory of Dieudonné , which was published in the 1950s Years were introduced by Dieudonné in his investigations into Lie algebras over fields of finite characteristics. Brass also worked here with Pierre Berthelot , Barry Mazur and Aise Johan de Jong .


  • Pierre Berthelot, Messing Theory de Dieudonné cristalline I , Journées de Geometrie Algebrique de Rennes, 1978, Vol. 1, pp. 17-37, Asterisque, Vol. 63, 1979
  • Pierre Berthelot, Lawrence Breen, Messing Theory de Dieudonné cristalline II , Springer, Lecturenotes in Mathematics, Volume 930, 1982
  • with Berthelot theory de Dieudonné cristalline III , in Paul Cartier a. a., Grothendieck -Festschrift, Volume 1, 1990, Birkhäuser, p. 173
  • Barry Mazur, Messing Universal extensions and one dimensional cristalline cohomology , Springer, Lecturenotes in Mathematics, Volume 370, 1974
  • Brass: The crystals associated to Barsotti-Tate groups: with applications to abelian schemes , Springer, Lecturenotes in Mathematics, Volume 264, 1972

Web links

Individual evidence

  1. Messing first met Grothendieck at Haverford College in 1966 as a student from Princeton in its lectures. He then became its unofficial supervisor for his dissertation. He met him again as a member of his Survivre group in 1970 in Montreal, in 1971 at his guest lectures at Kingston University and in 1973 in Paris. Memories from Messing to Grothendieck, Notices AMS, November 2004, p. 1203
  2. ^ Mathematics Genealogy Project
  3. ^ Lecture at the International Congress of Mathematicians in Nice 1970
  4. Dolgachev: Dieudonnè modules, Encyclopedia of Mathematics, Springer