Claire Voisin
| Claire Voisin | |
|---|---|
Claire Voisin in 2009
|
|
| Born |
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 Collège de France |
| 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) Heinz Hopf Prize (2015) CNRS Gold medal (2016) |
Claire Voisin (born 4 March 1962) is a French mathematician known for work in algebraic geometry.
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).
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