What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Geometry
His primary scientific interests are in Combinatorics, Symmetric group, Permutation, Characterization and Partition.
His Combinatorics study frequently draws connections between adjacent fields such as Simple.
The concepts of his Symmetric group study are interwoven with issues in Group theory, Polynomial and Projective test.
His Permutation study combines topics in areas such as Matrix, Cohomology, Toric variety and Conjecture.
He has researched Characterization in several fields, including Axiom, Kac–Moody algebra, Algebraic combinatorics and Integrable system.
His Partition research is multidisciplinary, incorporating perspectives in Discrete mathematics, Digraph, Young tableau, Directed graph and Pfaffian.
His most cited work include:
- Shifted tableaux and the projective representations of symmetric groups (275 citations)
- On the Fully Commutative Elements of Coxeter Groups (265 citations)
- Nonintersecting paths, pfaffians, and plane partitions (252 citations)
What are the main themes of his work throughout his whole career to date?
John R. Stembridge spends much of his time researching Combinatorics, Pure mathematics, Discrete mathematics, Coxeter group and Conjecture.
His work in Coxeter complex, Weyl group, Symmetric group, Partially ordered set and Quotient are all subfields of Combinatorics research.
John R. Stembridge has included themes like Commutative property, Partition, Group theory and Projective test in his Symmetric group study.
His study looks at the relationship between Discrete mathematics and fields such as Invariant, as well as how they intersect with chemical problems.
His study looks at the relationship between Coxeter group and topics such as Strongly connected component, which overlap with Graph, Bipartite graph and Directed graph.
His Conjecture research incorporates themes from Hermite polynomials, Measure, Counterexample, Orthogonal polynomials and Series.
He most often published in these fields:
- Combinatorics (67.65%)
- Pure mathematics (23.53%)
- Discrete mathematics (19.12%)
What were the highlights of his more recent work (between 2004-2019)?
- Combinatorics (67.65%)
- Pure mathematics (23.53%)
- Coxeter group (17.65%)
In recent papers he was focusing on the following fields of study:
John R. Stembridge mainly investigates Combinatorics, Pure mathematics, Coxeter group, Discrete mathematics and Coxeter complex.
His study in the field of Quotient, Weyl group and Simplex is also linked to topics like Group algebra and Root.
In the subject of general Coxeter group, his work in Bruhat order is often linked to Oriented matroid and Dihedral group, thereby combining diverse domains of study.
The study incorporates disciplines such as Characterization, Hyperplane, Möbius function, Orbit and Order dimension in addition to Bruhat order.
His study connects Generalization and Discrete mathematics.
John R. Stembridge focuses mostly in the field of Coxeter complex, narrowing it down to topics relating to Coxeter element and, in certain cases, Coxeter notation.
Between 2004 and 2019, his most popular works were:
- Affine descents and the Steinberg torus (37 citations)
- Coxeter cones and their h-vectors (33 citations)
- Counterexamples to the poset conjectures of Neggers, Stanley, and Stembridge (20 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Geometry
His primary areas of investigation include Combinatorics, Coxeter group, Coxeter complex, Discrete mathematics and Quotient.
Bruhat order is the focus of his Coxeter group research.
John R. Stembridge usually deals with Coxeter complex and limits it to topics linked to Coxeter element and Möbius function and Coxeter notation.
Partially ordered set, Conjecture and Counterexample are the core of his Discrete mathematics study.
His Quotient research includes elements of Weyl group, Torus, Order dimension and Lattice.
His Weyl group study combines topics in areas such as Characterization, Hyperplane and Orbit.
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