What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Geometry
The scientist’s investigation covers issues in Pure mathematics, Algebra, Real algebraic geometry, Algebraic cycle and Algebraic surface.
His Pure mathematics study which covers Mathematical analysis that intersects with Compactification.
His study in the fields of Representation theory, Hermitian matrix and Areas of mathematics under the domain of Algebra overlaps with other disciplines such as Categorical variable.
His Representation theory research incorporates themes from Induced representation, Representation of a Lie group, Lie group and Group theory.
His Real algebraic geometry research includes themes of Irreducibility, Moduli of algebraic curves, Modular equation and Function field of an algebraic variety.
He has researched Function field of an algebraic variety in several fields, including Discrete mathematics and Toric manifold, Toric variety.
His most cited work include:
- Introduction to Toric Varieties. (2960 citations)
- Representation Theory: A First Course (1793 citations)
- Young Tableaux: With Applications to Representation Theory and Geometry (861 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Pure mathematics, Combinatorics, Algebra, Vector bundle and Chern class.
His Pure mathematics study incorporates themes from Algebraic cycle and Eigenvalues and eigenvectors.
His study explores the link between Algebraic cycle and topics such as Algebraic surface that cross with problems in Real algebraic geometry.
His studies deal with areas such as Geometry and topology and Real form as well as Algebra.
The concepts of his Vector bundle study are interwoven with issues in Coherent sheaf, Exceptional divisor, Exact sequence and Line bundle.
In the field of Chern class, his study on Splitting principle overlaps with subjects such as Positive element.
He most often published in these fields:
- Pure mathematics (53.85%)
- Combinatorics (25.17%)
- Algebra (18.88%)
What were the highlights of his more recent work (between 2002-2021)?
- Pure mathematics (53.85%)
- Combinatorics (25.17%)
- Irreducible representation (6.99%)
In recent papers he was focusing on the following fields of study:
William Fulton mostly deals with Pure mathematics, Combinatorics, Irreducible representation, Lie algebra and Algebra.
As part of his studies on Pure mathematics, William Fulton often connects relevant subjects like Picard group.
The Combinatorics study combines topics in areas such as Equivariant cohomology and Group cohomology.
His work on Maximal ideal as part of general Algebra study is frequently linked to Irreducible component, bridging the gap between disciplines.
His Schubert polynomial research integrates issues from Discrete mathematics and Type.
As a part of the same scientific study, he usually deals with the Discrete mathematics, concentrating on Schubert variety and frequently concerns with Quantum cohomology.
Between 2002 and 2021, his most popular works were:
- Algebraic Topology: A First Course (143 citations)
- On the quantum product of Schubert classes (125 citations)
- Eigenvalues, singular values, and Littlewood-Richardson coefficients (46 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Geometry
His scientific interests lie mostly in Pure mathematics, Schubert polynomial, Combinatorics, Algebra and Type.
The various areas that he examines in his Pure mathematics study include Picard group and Group.
His Schubert polynomial study combines topics from a wide range of disciplines, such as Discrete mathematics, Pfaffian, Grassmannian, Homogeneous space and Vector bundle.
His Discrete mathematics course of study focuses on Schubert variety and Quantum cohomology.
His study on Permutation, Cellular homology and Homology is often connected to Degeneracy as part of broader study in Combinatorics.
His Type research is multidisciplinary, incorporating perspectives in Polynomial ring, Simple, Degeneracy, Power series and Polynomial.
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