# Claire Voisin

Claire Voisin | |
---|---|

Claire Voisin in 2009 | |

Born |
Saint-Leu-la-Forêt, Île-de-France | 4 March 1962

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.

## 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.^{[1]} 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.^{[2]} She received the Sophie Germain Prize in 2003^{[3]} and the Clay Research Award in 2008 for her disproof of the Kodaira conjecture on deformations of compact Kähler manifolds.^{[4]} 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.^{[5]} 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.^{[6]}
In 2014 she was elected to the Academia Europaea.^{[7]}
In May 2016 she was elected as a foreign associate of the National Academy of Sciences.^{[8]} 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.^{[9]} 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.^{[10]}

## Personal Life

She is married to applied mathematician Jean-Michel Coron. They have five children.^{[11]}

## Selected publications

*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.^{[12]}*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

- ↑ A counterexample to the Hodge conjecture extended to Kähler varieties
- ↑ Prix Servant décerné par l’Académie des Sciences (1996)
- ↑ Claire Voisin awarded the 2003 Sophie Germain Academy of Sciences
- ↑ Clay Research Award
- ↑ Satter Prize
- ↑
*International Congress of Mathematicians 2010* - ↑
*Member profile: Claire Voisin*, Academia Europaea, retrieved 2015-09-18. - ↑
*National Academy of Sciences Members and Foreign Associates Elected*, News from the National Academy of Sciences, National Academy of Sciences, May 3, 2016, retrieved 2016-05-14. - ↑
*Claire Voisin nommée titulaire de la chaire Géométrie algébrique du Collège de France*, Institut de France, Académie des sciences, April 27, 2016, retrieved 2016-06-10. - ↑
*La médaille d'or 2016 du CNRS est attribuée à Claire Voisin, mathématicienne*, French National Centre for Scientific Research (CNRS), September 21, 2016, retrieved 2016-10-03. - ↑
*Curriculum Vitae* - ↑ 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.