William Messing

William Messing is an American mathematician who deals with arithmetic algebraic geometry.

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

Brass tackled, among other things, the development of a program presented by Grothendieck the description of p- divisible groups ( Barsotti -Tate groups) that are important for the algebraic geometry in prime characteristic, by the theory of Dieudonné, the 1950s in the years were introduced by Dieudonné in his investigations of Lie algebras over fields of finite characteristic. Here brass also worked with Pierre Berthelot, Barry Mazur and Aise Johan de Jong.

Writings

• Pierre Berthelot, brass Dieudonné theory de cristal line I, Journées de geometry algébrique de Rennes, 1978, Vol 1, pp. 17-37, astérisque, Bd.63, 1979
• Pierre Berthelot, Lawrence Breen, brass Dieudonné theory de cristal line II, Springer, Lecture Notes in Mathematics, Volume 930, 1982
• With Berthelot de Dieudonné theory cristal line III in Paul Cartier and others, Grothendieck Festschrift, Volume 1, 1990, Birkhäuser, p.173
• Barry Mazur, Brass Universal extensions and one dimensional cristal line cohomology, Springer, Lecture Notes in Mathematics, Volume 370, 1974