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Mathematics

D-Index
62
Citations
31201
World Ranking
453
National Ranking
234

Research.com Recognitions

  • 2013 - Abel Prize For seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields.[34]
  • 2008 - Wolf Prize in Mathematics for his work on mixed Hodge theory; the Weil conjectures; the Riemann-Hilbert correspondence; and for his contributions to arithmetic.
  • 2007 - Member of the National Academy of Sciences
  • 2004 - International Balzan Prize
  • 1978 - Academie des sciences, France
  • 1978 - Fields Medal of International Mathematical Union (IMU) Gave solution of the three Weil conjectures concerning generalizations of the Riemann hypothesis to finite fields. His work did much to unify algebraic geometry and algebraic number theory.
  • 1978 - Fellow of the American Academy of Arts and Sciences

Overview

Pierre Deligne is affiliated with the Institute for Advanced Study in the United States. Their academic work spans various areas of mathematics, particularly focusing on advanced algebra and geometry as well as mathematical physics.

Deligne's recent publications include:

  • Motives, periods, and functoriality, 2025, Tunisian Journal of Mathematics
  • Motives, Periods, and Functoriality, 2024, arXiv (Cornell University)
  • Jacques Tits (1930-2021), 2022, Notices of the American Mathematical Society
  • Le critère d'Abel pour la résolubilité par radicaux d'une équation irréductible de degré premier, 2021, Comptes Rendus Mathématique
  • Unipotent representations: changing q to -q, 2025, arXiv (Cornell University)

Frequent co-authors working alongside Deligne include:

  • G. Lusztig
  • A. Raghuram
  • Richard M. Weiss
  • Jean-Pierre Bourguignon
  • Jean-Pierre Tignol

Their work has appeared primarily in the following publication venues:

  • arXiv (Cornell University)
  • Tunisian Journal of Mathematics
  • Notices of the American Mathematical Society
  • Comptes Rendus Mathématique

Key research topics and fields reflected in Deligne's work include:

  • Advanced Algebra and Geometry
  • Mathematical Physics

Deligne has been recognized with several significant awards in the field of mathematics over the course of their career:

  • Abel Prize, 2013, for contributions to algebraic geometry and their impact on number theory, representation theory, and related fields
  • Wolf Prize in Mathematics, 2008, for work on mixed Hodge theory, the Weil conjectures, the Riemann-Hilbert correspondence, and contributions to arithmetic
  • Member of the National Academy of Sciences, 2007
  • International Balzan Prize, 2004
  • Fields Medal of the International Mathematical Union, 1978, for solving the three Weil conjectures concerning generalizations of the Riemann hypothesis to finite fields
  • Academie des sciences, France, 1978
  • Fellow of the American Academy of Arts and Sciences, 1978

Best Publications

  • La conjecture de Weil I.

    Pierre Deligne

  • The irreducibility of the space of curves of given genus

    Pierre Deligne;David Bryant Mumford

  • Théorie de Hodge : III

    Pierre Deligne

  • Théorie de Hodge, II

    Unknown

  • Equations differentielles à points singuliers reguliers

    Pierre Deligne

  • Real Homotopy Theory of Kähler Manifolds.

    Pierre Deligne;Phillip Griffiths;John Morgan;John Morgan;Dennis Sullivan

  • Les Schémas de Modules de Courbes Elliptiques

    Pierre Deligne;M. Rapoport

  • Representations of reductive groups over finite fields

    Pierre Deligne;G. Lusztig

  • La Conjecture de Weil. II

    Unknown

  • Les immeubles des groupes de tresses generalises

    Pierre Deligne

  • Groupes de monodromie en geometrie algebrique

    Pierre Deligne;Nicholas M. Katz

  • Quantum Fields and Strings: A Course for Mathematicians

    Pierre Deligne

  • Formes modulaires et représentations e -adiques

    Unknown

  • Monodromy of hypergeometric functions and non-lattice integral monodromy

    Pierre Deligne;Pierre Deligne;G. D. Mostow;G. D. Mostow

  • Hodge Cycles, Motives, and Shimura Varieties

    Pierre Deligne;James S. Milne;Arthur Ogus;Kuang-yen Shih

  • Relevements modulo p2 et decomposition du complexe de de Rham.

    Pierre Deligne;Luc Illusie

  • Values of Abelian L-functions at Negative Integers over Totally Real Fields.

    Pierre Deligne;Kenneth A. Ribet

  • Groupes fondamentaux motiviques de Tate mixte

    Pierre Deligne;Alexander B. Goncharov

  • Théorème de Lefschetz et critères de dégénérescence de suites spectrales

    Pierre Deligne

  • Les Constantes des Equations Fonctionnelles des Fonctions L

    Pierre Deligne

  • La conjecture de Weil pour les surfaces K3.

    Pierre Deligne

  • Valeurs de fonctions L et périodes d’intégrales

    Pierre Deligne

  • Variétés de Shimura: interprétation modulaire et techniques de construction de modèles canoniques

    Pierre Deligne

Frequent Co-Authors

Jean-Pierre Serre
Jean-Pierre Serre Collège de France
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
John W. Morgan
John W. Morgan Stony Brook University
Dennis Sullivan
Dennis Sullivan Stony Brook University
Alexander Goncharov
Alexander Goncharov Yale University
Benedict H. Gross
Benedict H. Gross University of California, San Diego
Edward Frenkel
Edward Frenkel University of California, Berkeley
Nicholas M. Katz
Nicholas M. Katz Princeton University
David Mumford
David Mumford Brown University

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