Alexander Grothendieck

E51493

French mathematician German-born mathematician algebraic geometer human mathematician

Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.

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All labels observed (4)

Label	Occurrences
Alexander Grothendieck canonical	41
Alexandre Grothendieck	4
Alexander Radu Mihai Grothendieck	1
Grothendieck	1

Statements (76)

Predicate	Object
instanceOf	French mathematician ⓘ German-born mathematician ⓘ algebraic geometer ⓘ human ⓘ mathematician ⓘ
awardReceived	Crafoord Prize ⓘ Fields Medal ⓘ Fields Medal ⓘ surface form: Fields Medal 1966 Prix Ampère ⓘ Prix Carrière ⓘ Prix Thiers ⓘ Mathematics Prize of the French Academy of Sciences ⓘ surface form: Prix de l’Académie des Sciences
citizenship	France ⓘ Germany ⓘ
countryOfBirth	Weimar Republic ⓘ
countryOfDeath	France ⓘ
dateOfBirth	1928-03-28 ⓘ
dateOfDeath	2014-11-13 ⓘ
doctoralAdvisor	Jean Dieudonné ⓘ Laurent Schwartz ⓘ
doctoralThesisTitle	Produits tensoriels topologiques et espaces nucléaires ⓘ
doctoralThesisYear	1953 ⓘ
educatedAt	University of Montpellier ⓘ University of Nancy ⓘ
employer	Centre National de la Recherche Scientifique ⓘ surface form: CNRS Institut des Hautes Études Scientifiques ⓘ University of São Paulo ⓘ
familyName	Alexander Grothendieck self-linksurface differs ⓘ surface form: Grothendieck
fieldOfWork	algebraic geometry ⓘ category theory ⓘ homological algebra ⓘ number theory ⓘ topology ⓘ
fullName	Alexander Grothendieck self-linksurface differs ⓘ surface form: Alexander Radu Mihai Grothendieck
givenName	Alexander ⓘ
influenced	Alexander Beilinson ⓘ Jean-Louis Verdier ⓘ Pierre Deligne ⓘ Vladimir Drinfeld ⓘ many 20th-century mathematicians ⓘ modern algebraic geometry ⓘ
knownFor	EGA ⓘ Grothendieck groups and K-theory ⓘ Grothendieck topologies ⓘ Grothendieck–Riemann–Roch theorem ⓘ SGA ⓘ Tôhoku paper on abelian categories ⓘ foundations of schemes ⓘ motives in algebraic geometry ⓘ revolutionizing algebraic geometry ⓘ étale cohomology ⓘ
languageSpoken	French ⓘ German ⓘ Spanish ⓘ
memberOf	Bourbaki school of mathematics ⓘ surface form: Bourbaki group
notableConcept	Grothendieck category ⓘ Grothendieck duality ⓘ Grothendieck group ⓘ Grothendieck inequality ⓘ Grothendieck spectral sequence ⓘ Grothendieck topology ⓘ Grothendieck topology ⓘ surface form: Grothendieck topos Grothendieck universe ⓘ
notableIdea	functorial viewpoint in algebraic geometry ⓘ use of categories and functors as foundations ⓘ
notableWork	Récoltes et Semailles ⓘ Séminaire de Géométrie Algébrique du Bois Marie ⓘ Éléments de géométrie algébrique ⓘ
placeOfBirth	Berlin ⓘ
placeOfDeath	Saint-Girons ⓘ
politicalActivity	anti–Vietnam War activism ⓘ peace activism ⓘ
positionHeld	researcher at IHÉS ⓘ
refusedAward	Crafoord Prize ⓘ
religion	spiritual seeker with eclectic beliefs ⓘ
residence	Lasserre ⓘ

Referenced by (47)

Full triples — surface form annotated when it differs from this entity's canonical label.

Institute for Advanced Study → notableScholar → Alexander Grothendieck ⓘ

School of Mathematics → employerOf → Alexander Grothendieck ⓘ

Alexander Grothendieck → fullName → Alexander Grothendieck self-linksurface differs ⓘ

this entity surface form: Alexander Radu Mihai Grothendieck

Alexander Grothendieck → familyName → Alexander Grothendieck self-linksurface differs ⓘ

this entity surface form: Grothendieck

Pierre Deligne → doctoralAdvisor → Alexander Grothendieck ⓘ

Pierre Deligne → hasAcademicAdvisor → Alexander Grothendieck ⓘ

Alain Connes → influencedBy → Alexander Grothendieck ⓘ

this entity surface form: Alexandre Grothendieck

Jean-Louis Verdier → educatedBy → Alexander Grothendieck ⓘ

this entity surface form: Alexandre Grothendieck

Jean-Louis Verdier → doctoralAdvisor → Alexander Grothendieck ⓘ

this entity surface form: Alexandre Grothendieck

Jean-Louis Verdier → influencedBy → Alexander Grothendieck ⓘ

this entity surface form: Alexandre Grothendieck

Laurent Schwartz → doctoralStudent → Alexander Grothendieck ⓘ

Grothendieck universe → namedAfter → Alexander Grothendieck ⓘ

Bourbaki school of mathematics → hasMember → Alexander Grothendieck ⓘ

Vladimir Voevodsky → influencedBy → Alexander Grothendieck ⓘ

Weil conjectures → provedBy → Alexander Grothendieck ⓘ

Weil conjectures → partialProofBy → Alexander Grothendieck ⓘ

Weil conjectures → rationalityPartProvedBy → Alexander Grothendieck ⓘ

Weil conjectures → functionalEquationPartProvedBy → Alexander Grothendieck ⓘ

Weil conjectures → BettiNumbersPartProvedBy → Alexander Grothendieck ⓘ

Nicolas Bourbaki → hasMember → Alexander Grothendieck ⓘ

étale cohomology → developedBy → Alexander Grothendieck ⓘ

Grothendieck–Riemann–Roch theorem → namedAfter → Alexander Grothendieck ⓘ

Grothendieck–Riemann–Roch theorem → provedBy → Alexander Grothendieck ⓘ

EGA → author → Alexander Grothendieck ⓘ

subject surface form: Éléments de Géométrie Algébrique

SGA → ledBy → Alexander Grothendieck ⓘ

SGA → editor → Alexander Grothendieck ⓘ

Produits tensoriels topologiques et espaces nucléaires → author → Alexander Grothendieck ⓘ

Produits tensoriels topologiques et espaces nucléaires → hasAuthorAtTimeOfWriting → Alexander Grothendieck ⓘ

Institut des Hautes Études Scientifiques → hasNotableFaculty → Alexander Grothendieck ⓘ

Éléments de géométrie algébrique → author → Alexander Grothendieck ⓘ

Séminaire de Géométrie Algébrique du Bois Marie → mainEditor → Alexander Grothendieck ⓘ

Récoltes et Semailles → author → Alexander Grothendieck ⓘ

Récoltes et Semailles → mainSubject → Alexander Grothendieck ⓘ

Grothendieck topology → namedAfter → Alexander Grothendieck ⓘ

Grothendieck group → namedAfter → Alexander Grothendieck ⓘ

Grothendieck inequality → namedAfter → Alexander Grothendieck ⓘ

Grothendieck inequality → introducedBy → Alexander Grothendieck ⓘ

Grothendieck spectral sequence → namedAfter → Alexander Grothendieck ⓘ

Grothendieck duality → namedAfter → Alexander Grothendieck ⓘ

Grothendieck duality → developedBy → Alexander Grothendieck ⓘ

Grothendieck category → namedAfter → Alexander Grothendieck ⓘ

Lasserre → hasNotableResident → Alexander Grothendieck ⓘ

K-theory → developedBy → Alexander Grothendieck ⓘ

Jean Dieudonné → coAuthorWith → Alexander Grothendieck ⓘ

Grothendieck–Ogg–Shafarevich formula → namedAfter → Alexander Grothendieck ⓘ

noncommutative geometry → influencedBy → Alexander Grothendieck ⓘ

University of Nancy → educated → Alexander Grothendieck ⓘ