Ofer Gabber Explained

Ofer Gabber
Native Name:	עופר גאבר
Native Name Lang:	he
Birth Date:	16 May 1958
Fields:	Mathematics
Workplaces:	Institut des Hautes Études Scientifiques
Alma Mater:	Harvard University
Doctoral Advisor:	Barry Mazur
Known For:	Algebraic geometry
Awards:	Erdős Prize (1981), Prix Thérèse Gautier (2011)

Ofer Gabber (עופר גאבר; born May 16, 1958) is a mathematician working in algebraic geometry.

Life

In 1978 Gabber received a Ph.D. from Harvard University for the thesis Some theorems on Azumaya algebras, written under the supervision of Barry Mazur. Gabber has been at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette in Paris since 1984 as a CNRS senior researcher. He won the Erdős Prize in 1981 and the Prix Thérèse Gautier from the French Academy of Sciences in 2011. In 1981 Gabber with Victor Kac published a proof of a conjecture stated by Kac in 1968.^[1]

Books

• With Lorenzo Ramero: Almost Ring Theory, Springer, Lecture Notes in Computer Science, vol 1800, 2003.
• With Brian Conrad, Gopal Prasad: Pseudo-reductive Groups, Cambridge University Press, 2010; 2015, 2nd edition^[2]

See also

• Gabber rigidity
• Almost ring theory
• t-structure
• Theorem of absolute purity

References

1. Gabber. Ofer. Kac. Victor G.. On defining relations of certain infinite-dimensional Lie algebras. Bulletin of the American Mathematical Society. 5. 2. 1981. 185–190. 0273-0979. 10.1090/S0273-0979-1981-14940-5. free.
2. Web site: Zaldivar, Felipe. Review of Pseudo-reductive Groups, 2nd edition, by Brian Conrad, Ofer Gabber, and Gopal Prasad. MAA Reviews, Mathematical Association of America. October 6, 2015.