What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Discrete mathematics
His primary scientific interests are in Combinatorics, Discrete mathematics, Symmetric function, Set and Schur polynomial.
His Combinatorics study often links to related topics such as Mathematical proof.
His Bijection, Generating function, Bijection, injection and surjection and Stirling numbers of the second kind study, which is part of a larger body of work in Discrete mathematics, is frequently linked to μ operator, bridging the gap between disciplines.
His work deals with themes such as Elementary symmetric polynomial, Stanley symmetric function, Macdonald polynomials and Basis, which intersect with Symmetric function.
His Set study incorporates themes from Class, Hybrid system, Notation, Differential equation and Algorithm.
His Schur polynomial research includes elements of Kronecker delta, Schur's theorem, Kronecker product, Tensor product and Schur algebra.
His most cited work include:
- The chase revisited (273 citations)
- A combinatorial formula for the character of the diagonal coinvariants (257 citations)
- Q -Counting rook configurations and a formula of Frobenius (110 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Symmetric function, Symmetric group and Generating function.
Combinatorics is closely attributed to Function in his work.
The concepts of his Discrete mathematics study are interwoven with issues in Mathematical proof, Algebra and Set.
His Symmetric function research is multidisciplinary, incorporating perspectives in Elementary symmetric polynomial, Stanley symmetric function and Ring of symmetric functions.
His Symmetric group research incorporates elements of Cyclic group and Descent.
His Generating function study integrates concerns from other disciplines, such as Partially ordered set and Distribution.
He most often published in these fields:
- Combinatorics (64.67%)
- Discrete mathematics (42.17%)
- Symmetric function (11.68%)
What were the highlights of his more recent work (between 2012-2021)?
- Combinatorics (64.67%)
- Discrete mathematics (42.17%)
- Symmetric group (11.40%)
In recent papers he was focusing on the following fields of study:
Jeffrey B. Remmel mainly focuses on Combinatorics, Discrete mathematics, Symmetric group, Symmetric function and Generating function.
The Combinatorics study combines topics in areas such as Function and Distribution.
His Discrete mathematics research includes elements of Index set and Connection.
His study in Symmetric group is interdisciplinary in nature, drawing from both Cyclic group, Recurrence relation and Descent.
As a part of the same scientific family, Jeffrey B. Remmel mostly works in the field of Symmetric function, focusing on Homogeneous space and, on occasion, Combinatorial proof and Coprime integers.
His Generating function research integrates issues from Generalization and Fibonacci number.
Between 2012 and 2021, his most popular works were:
- The Delta Conjecture (67 citations)
- An extension of MacMahon's equidistribution theorem to ordered set partitions (28 citations)
- A proof of the Delta Conjecture when $q=0$ (26 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Discrete mathematics
His scientific interests lie mostly in Combinatorics, Generating function, Symmetric group, Conjecture and Symmetric function.
His Combinatorics research incorporates themes from Discrete mathematics and Distribution.
The study incorporates disciplines such as Reciprocity, Index set and Connection in addition to Discrete mathematics.
The various areas that Jeffrey B. Remmel examines in his Symmetric group study include Permutation pattern and Extension.
His Conjecture research is multidisciplinary, relying on both Elementary symmetric polynomial, Combinatorial proof, Macdonald polynomials and Special case.
As part of one scientific family, Jeffrey B. Remmel deals mainly with the area of Symmetric function, narrowing it down to issues related to the Function, and often Coprime integers, Schur algebra, Homogeneous space, Combinatorial interpretation and Direct proof.
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