What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Algebra
- Geometry
Arnaud Beauville mainly investigates Pure mathematics, Vector bundle, Algebra, Moduli space and Humanities.
His study in the field of Chow ring, K3 surface and Lie algebra also crosses realms of Primary field and Rational conformal field theory.
Arnaud Beauville has researched Vector bundle in several fields, including Isomorphism, Combinatorics and Line bundle.
His Combinatorics research is multidisciplinary, incorporating perspectives in Hypersurface, Algebraic geometry, Matrix and Rank.
His work on Algebraic number, Algebraic surface and Sheaf is typically connected to Topology and Subject as part of general Algebra study, connecting several disciplines of science.
His work deals with themes such as Vector space, Locus and Abelian group, which intersect with Moduli space.
His most cited work include:
- Variétés Kähleriennes dont la première classe de Chern est nulle (691 citations)
- Complex Algebraic Surfaces (424 citations)
- Conformal blocks and generalized theta functions (334 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Pure mathematics, Combinatorics, Vector bundle, Algebra and Moduli space.
His Pure mathematics study incorporates themes from Mathematical analysis and Degree.
His Combinatorics research incorporates themes from Surface and Group.
His Vector bundle research is multidisciplinary, incorporating elements of Line bundle, Theta function, Rank, Theta divisor and Bundle.
His Line bundle study also includes
- Riemann surface which is related to area like Space,
- Lie algebra that intertwine with fields like Nilpotent.
His studies deal with areas such as Picard group and Isomorphism as well as Moduli space.
He most often published in these fields:
- Pure mathematics (51.97%)
- Combinatorics (30.71%)
- Vector bundle (20.47%)
What were the highlights of his more recent work (between 2008-2021)?
- Pure mathematics (51.97%)
- Combinatorics (30.71%)
- Algebra (17.32%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Combinatorics, Algebra, Vector bundle and Cohomology.
His work on Pure mathematics is being expanded to include thematically relevant topics such as Quartic function.
The study incorporates disciplines such as Geometry, Surface, Group and Unimodular lattice in addition to Combinatorics.
His work on Carry, Algebraic geometry, Projective variety and Locally finite group as part of general Algebra research is frequently linked to Focus, thereby connecting diverse disciplines of science.
His studies in Vector bundle integrate themes in fields like Theta function, Limit, Indecomposable module and Rank.
The concepts of his Cohomology study are interwoven with issues in Lattice, Fundamental group, Complete intersection and Homology.
Between 2008 and 2021, his most popular works were:
- An introduction to Ulrich bundles (50 citations)
- Holomorphic symplectic geometry: a problem list (41 citations)
- Antisymplectic involutions of holomorphic symplectic manifolds (39 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Geometry
Arnaud Beauville mostly deals with Pure mathematics, Combinatorics, Algebra, Geometry and Surface.
His study in the field of K3 surface, Symplectic manifold and Symplectic geometry is also linked to topics like Sigma and Rationality.
Abelian group is the focus of his Combinatorics research.
His Algebra research includes elements of Discrete valuation ring and Negative - answer.
As a part of the same scientific study, Arnaud Beauville usually deals with the Surface, concentrating on Bundle and frequently concerns with Projective variety.
His Locus research integrates issues from Vector bundle, Exact sequence, Algebraically closed field and Line bundle.
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