Claire Voisin

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Claire Voisin

Claire Voisin in 2009
Born (1962-03-04) 4 March 1962
Saint-Leu-la-Forêt, Île-de-France
Nationality French
Fields Mathematics
Institutions University of Paris VI: Pierre et Marie Curie
École Polytechnique
Alma mater École Normale Supérieure
Paris-Sud 11 University
Doctoral advisor Arnaud Beauville
Doctoral students Anna Otwinowska
Gianluca Pacienza
Lorenz Schneider
Known for Algebraic Geometry
Hodge theory
Notable awards EMS Prize (1992)
Sophie Germain Prize (2003)
Satter Prize (2007)
Clay research award (2008)

Claire Voisin (born 4 March 1962) is a French professor of mathematics and was director of research at the Institut de mathématiques de Jussieu at the University of Paris VI: Pierre et Marie Curie for several years. On October 15, 2012, École Polytechnique announced that it "celebrates its recruitment of Claire Voisin"[1] to a part-time Professorship. She is married to Jean-Michel Coron, who was also a plenary speaker at the 2010 International Congress of Mathematicians. They have five children.

Work

She is noted for her work in algebraic geometry particularly as it pertains to variational Hodge structures and mirror symmetry, and has written several books on Hodge theory. This area of mathematics is recognized as one of the most difficult in existence at this time, a reviewer from the American Mathematical Society writing that "the task of reviewing Claire Voisin’s two-volume work Hodge Theory and Complex Algebraic Geometry [V] is a daunting one, given the scope of the subject matter treated, namely, a rather complete tour of the subject from the beginning to the present, and given the break-neck pace of Voisin’s clear, complete, but “take no prisoners” exposition."[2] The Hodge conjecture is one of the seven Clay Mathematics Institute Millennium Prize Problems which were selected in 2000, each having a prize of a million dollars to the person that solves one of these problems. In 2002 Voisin proved that rational Hodge classes on a compact Kähler variety are false.[3] Her work on the subject "has rapidly become a reference."[4]

Voisin won the European Mathematical Society Prize in 1992, and the Servant Prize awarded by the Academy of Sciences in 1996.[5] She received the Sophie Germain Prize in 2003[6] and the Clay Research Award in 2008 for her disproof of the Kodaira conjecture, another problem in complex algebraic geometry.[7] In 2007 she was awarded the Ruth Lyttle Satter Prize in Mathematics for her solutions of two long standing mathematical problems, "the Kodaira problem (On the homotopy types of compact Kähler and complex projective manifolds), and Green's conjecture (Green's canonical syzygy conjecture for generic curves of odd genus), and Green's generic syzygy conjecture for curves of even genus lying on a K3 surface".[8] Green's conjecture attracted a huge amount of effort by algebraic geometers over twenty years before finally being settled by Voisin.

She was invited at the 1994 International Congress of Mathematicians (Zurich) in the section 'Algebraic Geometry', and she was also invited as a plenary speaker at the 2010 International Congress of Mathematicians, Hyderabad, India.[9] She is a member of the Selection Committee for Mathematics for judging of the Shaw Prize,[10] and recently a Visiting Fellow of the Moduli Spaces program which is organised by Isaac Newton Institute for Mathematical Sciences.[11] She is also a member of the national mathematical institutes of France, Germany, the USA and Italy.

References

External links

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