Ofer Gabber

Ofer Gabber (Hebrew עופר גאבר; born May 16, 1958) is an Israeli mathematician who deals with algebraic geometry and algebra.

Gabber in 1978 from Harvard University with a doctorate Barry Mazur ( Some theorems on Azumaya algebras ). He was then from 1984 mathematicians of the CNRS at the IHES in Bures -sur -Yvette, near Paris, where he is one of the main representatives of the tradition of algebraic geometry in the sense of Alexander Grothendieck, who had worked in the 1960s at the IHES. In 1982, he led by Joseph Bernstein, Pierre Deligne and Alexander Beilinson, " Perverse Sheaves ", proving ( through its Purity theorem) together with them that for this the Decomposition Theorem ( decomposition theorem ), the hard Lefschetz theorem and a semisimplicity theorem (for positive characteristic and existence of a Galois action), a low-lying result about the topology of algebraic varieties. He worked among others with the etale cohomology of schemes.

In 1981 he received the Erdős Prize. In 2011 he received the Prix Thérèse Gautier of the Academie des Sciences.

Writings

• With Lorenzo Ramero: Almost Ring Theory, Springer, Lecture Notes in Mathematics, Vol 1800, 2003.
• Brian Conrad, Gopal Prasad: Pseudo - Reductive Groups, Cambridge University Press, 2010