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
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 ...
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).
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
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 ...
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
*
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