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Claire Voisin

From Wikipedia, the free encyclopedia
French mathematician
Claire Voisin
Voisin in 2009
Born (1962-03-04)4 March 1962 (age 63)
Saint-Leu-la-Forêt, Île-de-France
Alma materÉcole Normale Supérieure
Paris-Sud 11 University
Known forAlgebraic geometry
Hodge theory
AwardsEMS Prize (1992)
Sophie Germain Prize (2003)
Satter Prize (2007)
Clay Research Award (2008)
Heinz Hopf Prize (2015)
CNRS Gold medal (2016)
Shaw Prize (2017)
L'Oréal-UNESCO Award (2019)
BBVA Foundation Frontiers of Knowledge Award (2023)
Crafoord Prize (2024)
Scientific career
FieldsMathematics
InstitutionsPierre and Marie Curie University
École Polytechnique
Collège de France
Doctoral advisorArnaud Beauville

Claire Voisin (born 4 March 1962) is a French mathematician known for her work inalgebraic geometry. She is a member of theFrench Academy of Sciences and held the chair ofalgebraic geometry at theCollège de France from 2015 to 2020.

Work

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She is noted for her work inalgebraic geometry particularly as it pertains to variations ofHodge structures andmirror symmetry, and has written several books onHodge theory. In 2002, Voisin proved that the generalization of theHodge conjecture for compactKähler varieties is false.[1] TheHodge conjecture is one of the sevenClay Mathematics InstituteMillennium Prize Problems which were selected in 2000, each having a prize of one million US dollars.

Voisin won theEuropean Mathematical Society Prize in 1992 and the Servant Prize awarded by the Academy of Sciences in 1996.[2] She received theSophie Germain Prize in 2003[3] and theClay Research Award in 2008 for her disproof of theKodaira conjecture on deformations of compactKählermanifolds.[4] In 2007, she was awarded theRuth Lyttle Satter Prize in Mathematics for, in addition to her work on the Kodaira conjecture, solving the generic case ofGreen's conjecture on thesyzygies of the canonical embedding of an algebraic curve.[5] This case of Green's conjecture had received considerable attention from algebraic geometers for over two decades prior to its resolution by Voisin (the full conjecture forarbitrary curves is still partially open).

Voisin atQueen Mary University of London in 2014

She was an invited speaker at the 1994International Congress of Mathematicians inZürich in the section 'Algebraic Geometry', and she was also invited as a plenary speaker at the 2010 International Congress of Mathematicians inHyderabad.[6]

In 2014, she was elected to theAcademia Europaea.[7] She served on the Mathematical Sciences jury of theInfosys Prize from 2017 to 2019.

In 2009 she became a member of theGerman Academy of Sciences Leopoldina.[8] In May 2016, she was elected as a foreign associate of theNational Academy of Sciences.[9] Also in 2016, she became the first female mathematician member of theCollège de France and is the first holder of the Chair of Algebraic Geometry.[10] She received theGold medal of theFrench National Centre for Scientific Research (CNRS) in September 2016. The latter is the highest scientific research award in France.[11] In 2017, she received theShaw Prize in Mathematical Sciences together withJános Kollár.[12] She was namedMSRI Clay Senior Scholar for 2008-2009 and Spring 2019.[13] She was electedForeign Member of the Royal Society in 2021.[14] She was elected International Honorary Member of theAmerican Academy of Arts and Sciences in 2022.[15] For 2023 she was awarded theBBVA Foundation Frontiers of Knowledge Award in Basic Sciences (jointly withYakov Eliashberg).[16] In 2024 she received theCrafoord Prize in Mathematics.[17]

Personal life

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She is married to the applied mathematicianJean-Michel Coron. They have five children.[18]

Selected publications

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  • Hodge Theory and complex algebraic geometry. 2 vols., Cambridge University Press (Cambridge Studies in Advanced Mathematics), 2002, 2003, vol. 1,ISBN 0-521-71801-5.[19]
  • Mirror Symmetry. AMS 1999,ISBN 0-8218-1947-X.
  • Variations of Hodge Structure on Calabi Yau Threefolds. Edizioni Scuola Normale Superiore, 2007.
  • with Mark Green,J. Murre (eds.)Algebraic Cycles and Hodge Theory, Lecture Notes in Mathematics 1594, Springer Verlag 1994 (CIME Lectures), containing article by Voisin:Transcendental methods in the study of algebraic cycles

References

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  1. ^Voisin, Claire (2002)."A counterexample to the Hodge conjecture extended to Kähler varieties".International Mathematics Research Notices.2002 (20): 1057.doi:10.1155/S1073792802111135.{{cite journal}}: CS1 maint: unflagged free DOI (link)
  2. ^Prix Servant décerné par l’Académie des Sciences (1996)
  3. ^Claire Voisin awarded the 2003 Sophie Germain Academy of SciencesArchived 2013-01-22 at theWayback Machine
  4. ^Clay Research Award
  5. ^"Prizes, Awards, and Honors for Women Mathematicians".mathwomen.agnesscott.org. Retrieved2025-01-16.
  6. ^International Congress of Mathematicians 2010Archived 2010-02-08 at theWayback Machine
  7. ^Member profile: Claire Voisin,Academia Europaea, retrieved2015-09-18.
  8. ^"Claire Voisin". German Academy of Sciences Leopoldina. Retrieved26 May 2021.
  9. ^National Academy of Sciences Members and Foreign Associates Elected, News from the National Academy of Sciences,National Academy of Sciences, May 3, 2016, archived fromthe original on May 6, 2016, retrieved2016-05-14.
  10. ^Claire Voisin nommée titulaire de la chaire Géométrie algébrique du Collège de France, Institut de France, Académie des sciences, April 27, 2016, retrieved2016-06-10.
  11. ^La médaille d'or 2016 du CNRS est attribuée à Claire Voisin, mathématicienne, French National Centre for Scientific Research (CNRS), September 21, 2016, retrieved2016-10-03.
  12. ^"Shaw Prize 2017". Archived fromthe original on 2017-08-13. Retrieved2017-05-23.
  13. ^MSRI."Mathematical Sciences Research Institute".www.msri.org. Retrieved2021-06-07.
  14. ^"Claire Voisin | Royal Society".royalsociety.org. Retrieved2021-07-24.
  15. ^"American Academy of Arts & Sciences Announces New Members Elected in 2022".American Academy of Arts & Sciences. 28 April 2022. Retrieved2022-05-22.
  16. ^BBVA Foundation Frontiers of Knowledge Award 2023
  17. ^Crafoord Prize 2024
  18. ^Curriculum Vitae
  19. ^Clemens, Herbert (2005)."Review:Hodge theory and complex algebraic geometry I, II by Claire Voisin"(PDF).Bull. Amer. Math. Soc.42 (4):507–520.doi:10.1090/s0273-0979-05-01056-6 (inactive 13 September 2025).{{cite journal}}: CS1 maint: DOI inactive as of September 2025 (link)

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