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 |
| 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) |
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 variational 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). In 2014 she was elected to the Academia Europaea.[6]
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.[7]
Personal Life
She is married to applied mathematician Jean-Michel Coron. They have five children.[8]
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.[9]
- 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
- ↑ Member profile: Claire Voisin, Academia Europaea, retrieved 2015-09-18.
- ↑ International Congress of Mathematicians 2010
- ↑ 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.
External links
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