2016 - Member of the National Academy of Sciences
2014 - Member of Academia Europaea
2010 - Academie des sciences, France
Pure mathematics, Algebra, Conjecture, Algebraic cycle and Hodge theory are her primary areas of study. Her Pure mathematics research includes elements of Mathematical analysis and Group. Her specific area of interest is Algebra, where Claire Voisin studies Algebraic surface.
In her study, p-adic Hodge theory, Complex differential form and Hodge structure is inextricably linked to Hodge conjecture, which falls within the broad field of Algebraic surface. Her Conjecture study integrates concerns from other disciplines, such as Green S, Hilbert's syzygy theorem and K3 surface. Claire Voisin has included themes like Geometry and topology and Algebraic geometry in her Hodge theory study.
Claire Voisin mostly deals with Pure mathematics, Hodge conjecture, Conjecture, Mathematical analysis and Hodge theory. Her Pure mathematics research is multidisciplinary, relying on both Algebraic cycle, Algebraic surface, Discrete mathematics and Algebra. Her studies in Algebraic surface integrate themes in fields like Function field of an algebraic variety and p-adic Hodge theory.
In her study, Filtration is strongly linked to Hodge structure, which falls under the umbrella field of Hodge conjecture. Her study in Conjecture is interdisciplinary in nature, drawing from both Fibration, Hilbert's syzygy theorem, Group and K3 surface. Her work focuses on many connections between Hodge theory and other disciplines, such as Algebraic geometry, that overlap with her field of interest in Algebraic variety.
Her main research concerns Pure mathematics, Conjecture, Group, Fibration and Diagonal. Her Pure mathematics study incorporates themes from Variety and Mathematical analysis. The Mathematical analysis study combines topics in areas such as Algebraic geometry and Hodge conjecture.
Claire Voisin has researched Conjecture in several fields, including Type, Divisibility rule, Projective variety, Manifold and Resolution. Her study on Group also encompasses disciplines like
The scientist’s investigation covers issues in Pure mathematics, Group, Conjecture, Hodge structure and Surface. Her Pure mathematics research is multidisciplinary, incorporating perspectives in Surface and Mathematical analysis. Her work carried out in the field of Mathematical analysis brings together such families of science as Algebraic geometry, Topology, Millennium Prize Problems and Hodge conjecture.
Her Group research focuses on subjects like Discrete mathematics, which are linked to Chern class, Parameterized complexity, Codimension and Quartic function. Claire Voisin interconnects Structure, Topology, Exceptional divisor, Ring and Algebraic cycle in the investigation of issues within Conjecture. Her Hodge structure study is concerned with the field of Algebra as a whole.
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Hodge theory and complex algebraic geometry
C. Voisin;Leila Schneps.
Hodge Theory and Complex Algebraic Geometry, I
Hodge Theory and Complex Algebraic Geometry II
Claire Voisin;Leila Schneps.
ON THE CHOW RING OF A K3 SURFACE
Arnaud Beauville;Claire Voisin.
Journal of Algebraic Geometry (2004)
Green's generic syzygy conjecture for curves of even genus lying on a K3 surface
Journal of the European Mathematical Society (2002)
Unirational threefolds with no universal codimension \(2\) cycle
Inventiones Mathematicae (2015)
On a conjecture of Clemens on rational curves on hypersurfaces
Journal of Differential Geometry (1996)
green's canonical syzygy conjecture for generic curves of odd genus
Compositio Mathematica (2005)
Some aspects of the Hodge conjecture
Japanese Journal of Mathematics (2007)
Chow Rings, Decomposition of the Diagonal, and the Topology of Families
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