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D-Index & Metrics

Mathematics

D-Index
40
Citations
21973
World Ranking
1973
National Ranking
120

Research.com Recognitions

  • 1966 - Fields Medal of International Mathematical Union (IMU) Built on work of Weil and Zariski and effected fundamental advances in algebraic geometry. He introduced the idea of K-theory (the Grothendieck groups and rings). Revolutionized homological algebra in his celebrated ‘Tôhoku paper’

Overview

Alexandre Grothendieck was affiliated with the Institut des Hautes Études Scientifiques in France. Their work significantly impacted the field of algebraic geometry, building upon prior research by Weil and Zariski.

Grothendieck introduced the concept of K-theory, known as the Grothendieck groups and rings, and contributed fundamental advances to the area. Their efforts included a notable paper often referred to as the 'Tôhoku paper,' which played a key role in revolutionizing homological algebra.

In recognition of their contributions, Grothendieck was awarded the Fields Medal by the International Mathematical Union (IMU) in 1966. The award citation highlighted their foundational advances in algebraic geometry and their introduction of K-theory.

Best Publications

  • Éléments de géométrie algébrique

    Alexandre Grothendieck;Jean Alexandre Dieudonné

  • Produits Tensoriels Topologiques Et Espaces Nucleaires

    Alexandre Grothendieck

  • Éléments de géométrie algébrique : IV. Étude locale des schémas et des morphismes de schémas, Troisième partie

    Alexander Grothendieck

  • Théorie des Topos et Cohomologie Etale des Schémas

    J. L. Verdier;B. Saint-Donat;A. Grothendieck

  • Éléments de géométrie algébrique : III. Étude cohomologique des faisceaux cohérents, Seconde partie

    Alexander Grothendieck

  • Revetements etales et groupe fondamental

    Alexandre Grothendieck

  • Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux

    Alexandre Grothendieck

  • Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

    A. Grothendieck

  • Éléments de géométrie algébrique : II. Étude globale élémentaire de quelques classes de morphismes

    Alexander Grothendieck

  • Éléments de géométrie algébrique. IV, Étude locale des schémas et des morphismes de schémas

    Alexandre Grothendieck

  • Théorie des intersections et théorème de Riemann-Roch

    P. Berthelot;O. Jussila;A. Grothendieck;M. Raynaud

  • Revêtements étales et groupe fondamental (SGA 1)

    Alexander Grothendieck;Michele Raynaud

  • Résumé de la théorie métrique des produits tensoriels topologiques

    A. Grothendieck

  • Éléments de géométrie algébrique : I. Le langage des schémas

    Alexander Grothendieck

  • Criteres de Compacite dans les Espaces Fonctionnels Generaux

    A. Grothendieck

  • Le groupe de Brauer

    Alexandre Grothendieck

  • Étude locale des schémas et des morphismes de schémas

    Alexandre Grothendieck;Jean Alexandre Dieudonné

  • Espaces vectoriels topologiques

    Alexandre Grothendieck

  • Éléments de géométrie algébrique (rédigés avec la collaboration de Jean Dieudonné) : IV. Étude locale des schémas et des morphismes de schémas, Quatrième partie

    Alexander Grothendieck

  • The Tame Fundamental Group of a Formal Neighbourhood of a Divisor with Normal Crossings on a Scheme

    Jacob P. Murre;Alexandre Grothendieck

  • Revêtements étales et groupe fondamental, (SGA1) : séminaire de géométrie algébrique, du Bois Marie, 1960-61

    Alexandre Grothendieck;Mme M. Raynaud

Frequent Co-Authors

Jean-Pierre Serre
Jean-Pierre Serre Collège de France
Robin Hartshorne
Robin Hartshorne University of California, Berkeley
Jaak Peetre
Jaak Peetre Lund University

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