Claire Voisin (born 4 March 1962) is a French mathematician known for her work in algebraic geometry. She is a member of the French Academy of Sciences and holds the chair of Algebraic Geometry at the

Collège de France The Collège de France (), formerly known as the ''Collège Royal'' or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment ('' grand établissement'') in France. It is located in Paris n ...

Work

She is noted for her work in algebraic geometry particularly as it pertains to variations of Hodge structures and

mirror symmetry In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D ther ...

, and has written several books on Hodge theory. In 2002, Voisin proved that the generalization of the

Hodge conjecture In mathematics, the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular complex algebraic variety to its subvarieties. In simple terms, the Hodge conjectu ...

for compact Kähler varieties is false. The

is one of the seven Clay Mathematics Institute

Millennium Prize Problems The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem. According ...

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 __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...

in 2008 for her disproof of the

Kodaira is a city located in the western portion of Tokyo Metropolis, Japan. , the city had an estimated population of 195,207 in 93,654 households, and a population density of 9500 persons per km². The total area of the city was . Geography Kodaira ...

conjecture on deformations of compact Kähler

manifolds In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a ne ...

. In 2007, she was awarded the

Ruth Lyttle Satter Prize in Mathematics The Ruth Lyttle Satter Prize in Mathematics, also called the Satter Prize, is one of twenty-one prizes given out by the American Mathematical Society (AMS). It is presented biennially in recognition of an outstanding contribution to 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. This 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). ClaireVoisinBMC2014

She was an invited speaker at the 1994 International Congress of Mathematicians in

Zürich , neighboring_municipalities = Adliswil, Dübendorf, Fällanden, Kilchberg, Maur, Oberengstringen, Opfikon, Regensdorf, Rümlang, Schlieren, Stallikon, Uitikon, Urdorf, Wallisellen, Zollikon , twintowns = Kunming, San Francisco Zürich ...

in the section 'Algebraic Geometry', and she was also invited as a plenary speaker at the 2010 International Congress of Mathematicians in

Hyderabad Hyderabad ( ; , ) is the capital and largest city of the Indian state of Telangana and the ''de jure'' capital of Andhra Pradesh. It occupies on the Deccan Plateau along the banks of the Musi River, in the northern part of Southern India ...

. In 2014, she was elected to the

Academia Europaea The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of Europea ...

. She served on the Mathematical Sciences jury of the

Infosys Prize The Infosys Prize is an annual award given to scientists, researchers, engineers and social scientists of Indian origin (not necessarily born in India) by the Infosys Science Foundation and ranks among the highest monetary awards in India to r ...

from 2017 to 2019. In 2009 she became a member of the

German Academy of Sciences Leopoldina The German National Academy of Sciences Leopoldina (german: Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften), short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founde ...

. 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

and is the first holder of the Chair of Algebraic Geometry. She received the Gold medal of the

French National Centre for Scientific Research The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,63 ...

(CNRS) in September 2016. The latter is the highest scientific research award in France. In 2017, she received the Shaw Prize in Mathematical Sciences together with

János Kollár János Kollár (born 7 June 1956) is a Hungarian mathematician, specializing in algebraic geometry. Professional career Kollár began his studies at the Eötvös University in Budapest and later received his PhD at Brandeis University in 1984 ...

. She was named MSRI Clay Senior Scholar for 2008-2009 and Spring 2019. She was elected

Foreign Member of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathematic ...

in 2021. She was elected International Honorary Member of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, a ...

in 2022.

Personal life

She is married to the applied mathematician Jean-Michel Coron. They have five children.

Selected publications

*''Hodge Theory and complex algebraic geometry.'' 2 vols., Cambridge University Press (Cambridge Studies in Advanced Mathematics), 2002, 2003, vol. 1, . *''Mirror Symmetry.'' AMS 1999, . *''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

External links

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HomepageCurriculum Vitae
{{DEFAULTSORT:Voisin, Claire 1962 births Living people 20th-century French mathematicians École Normale Supérieure alumni 21st-century French mathematicians Members of the French Academy of Sciences Algebraic geometers University of Paris faculty Clay Research Award recipients Members of Academia Europaea Foreign associates of the National Academy of Sciences French women mathematicians 20th-century women mathematicians 21st-century women mathematicians L'Oréal-UNESCO Awards for Women in Science laureates Members of the German Academy of Sciences Leopoldina Foreign Members of the Royal Society 20th-century French women 21st-century French women Collège de France faculty