Alexander Grothendieck (1928 to 2014) pioneered scheme theory, establishing it as the foundation of modern algebraic geometry, and developed the etale and l-adic cohomology theories built on that foundation. He was awarded the Fields Medal in 1966 and is considered by many to be the greatest mathematician of the twentieth century. He was stateless for most of his working life, travelling on a Nansen passport, and was naturalized French only in the early 1980s. In a 1969 paper he showed that a further conjecture Hodge had proposed alongside the Hodge conjecture proper was false for trivial reasons, and supplied a corrected version of it. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Death PlaceSaint-Lizier, Ariege, France 1 Nationality / CultureStateless for most of his working life, travelling on a Nansen passport; naturalized French in the early 1980s. 1 Defining ContributionScheme theory, established as the foundation of modern algebraic geometry, and the etale and l-adic cohomology theories built on it. 1 Notable WorkRefounded algebraic geometry through scheme theory (EGA, SGA) and topos theory; unified algebraic geometry with number theory and topology; foundational contributions to commutative algebra, homological algebra, sheaf theory and category theory 1 Connections
Associated With
Grothendieck showed that a further conjecture Hodge proposed alongside the Hodge conjecture proper was false for trivial reasons, and gave a corrected version of it.
Source Clay Mathematics Institute
Attributed Works
Source Picard Group (Wikipedia)
Source Scheme (mathematics) (Wikipedia)
Conjectures Posed
In Branch
Source Alexander Grothendieck (Wikipedia)
Source Alexander Grothendieck (Wikipedia)
Proofs Credited
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Alexander Grothendieck (Wikipedia)tier 2
Also in Geography Atlas: the nationality of this subject.
Source Alexander Grothendieck (Wikipedia)tier 2
Sources
1. Alexander Grothendieck (Wikipedia)
WikipediaInfobox: birth_place
Berlin, Prussia, Germany
Citizenship
Thus, he became a stateless person for at least the majority of his working life and he traveled on a Nansen passport.
Lead section
His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.
Lead section, gender reference
His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory, and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.
View the Source Clay Mathematics Institute
Clay Mathematics InstituteAssociated With: Hodge Conjecture, Section 2, Remark (vi), p. 2Quote, Associated With: Hodge Conjecture, Section 2, Remark (vi), p. 2
Grothendieck observed that this further conjecture is trivially false, and gave a corrected version of it in [5].
Scheme (mathematics) (Wikipedia)
Wikimedia FoundationAttributed Works: Scheme (Mathematics), LeadQuote, Attributed Works: Scheme (Mathematics), Lead
Scheme theory was introduced by Alexander Grothendieck in 1960 in his treatise Éléments de géométrie algébrique (EGA); one of its aims was developing the formalism needed to solve deep problems of algebraic geometry, such as the Weil conjectures (the last of which was proved by Pierre Deligne).
Picard Group (Wikipedia)
Attributed Works: Picard Group, Lead sectionQuote, Attributed Works: Picard Group, Lead section
in particular in the duality theory of abelian varieties. It was constructed by Grothendieck (1962), and also described by Mumford (1966) and Kleiman
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.