Nationality French Fields Mathematics | Role Mathematician Name Claire Voisin | |
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Born 4 March 1962 (age 62)
Saint-Leu-la-Foret, Ile-de-France ( 1962-03-04 ) Institutions University of Paris VI: Pierre et Marie Curie
Ecole Polytechnique Alma mater Ecole Normale Superieure
Paris-Sud 11 University 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)
Heinz Hopf Prize (2015) Education University of Paris-Sud, Ecole Normale Superieure Awards Clay Research Award, Sophie Germain Prize Books Hodge Theory and Complex, Chow Rings - Decompo, The herons of Europe, Variations of Hodges Structure, Mirror Symmetry | ||
Doctoral advisor Arnaud Beauville | ||
Claire Voisin: Gonality and zero-cycles of abelian varieties
Claire Voisin (born 4 March 1962) is a French mathematician known for work in algebraic geometry.
Contents
- Claire Voisin Gonality and zero cycles of abelian varieties
- Claire voisin some new results on modified diagonals
- Work
- Personal life
- Selected publications
- References
Claire voisin some new results on modified diagonals
Work
She is noted for her work in algebraic geometry particularly as it pertains to variations of Hodge structures and mirror symmetry, and has written several books on Hodge theory. In 2002 Voisin proved that the generalization of the Hodge conjecture for compact Kähler varieties is false. The Hodge conjecture is one of the seven Clay Mathematics Institute Millennium Prize Problems which were selected in 2000, each having a prize of one million US dollars.
Voisin won the European Mathematical Society Prize in 1992, and the Servant Prize awarded by the Academy of Sciences in 1996. She received the Sophie Germain Prize in 2003 and the Clay Research Award in 2008 for her disproof of the Kodaira conjecture on deformations of compact Kähler manifolds. In 2007 she was awarded the Ruth Lyttle Satter Prize in Mathematics for, in addition to her work on the Kodaira conjecture, solving the generic case of Green's conjecture on the syzygies of the canonical embedding of an algebraic curve. The generic 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 for arbitrary curves is still partially open).
She was an invited speaker 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. In 2014 she was elected to the Academia Europaea. In May 2016 she was elected as a foreign associate of the National Academy of Sciences. Also in 2016, she became the first female mathematician member of the Collège de France and is the first holder of the Chair of Algebraic Geometry. She received the Gold medal of the French National Centre for Scientific Research (CNRS) in September 2016. The latter is the highest scientific research award in France. In 2017 she received the Shaw Prize in Mathematical Sciences.
Personal life
She is married to applied mathematician Jean-Michel Coron. They have five children.
Selected publications
