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- Richard P. Stanley

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
68
Citations
24,965
242
World Ranking
222
National Ranking
125

Engineering and Technology
D-index
68
Citations
24,784
178
World Ranking
557
National Ranking
230

2013 - Fellow of the American Mathematical Society

2003 - Rolf Schock Prize for Mathematics

2001 - Steele Prize for Mathematical Exposition

1995 - Member of the National Academy of Sciences

1988 - Fellow of the American Academy of Arts and Sciences

1983 - Fellow of John Simon Guggenheim Memorial Foundation

1975 - George Pólya Prize

- Combinatorics
- Algebra
- Discrete mathematics

His main research concerns Combinatorics, Discrete mathematics, Partially ordered set, Algebra and Hilbert series and Hilbert polynomial. Richard P. Stanley integrates Combinatorics with Polyhedral combinatorics in his research. In general Discrete mathematics study, his work on Conjecture, Polytope and Legendre's equation often relates to the realm of Homogeneous, thereby connecting several areas of interest.

His Partially ordered set research includes themes of Weyl group, Transfer, Algebraic variety, Algebraic geometry and Real number. His study on Profinite group and Group theory is often connected to Generating function and Local cohomology as part of broader study in Algebra. Richard P. Stanley has included themes like Differential graded algebra, Hilbert–Poincaré series, Semimodular lattice, Vertex and Betti number in his Hilbert series and Hilbert polynomial study.

- Enumerative Combinatorics: Volume 1 (1599 citations)
- Enumerative Combinatorics: Index (1192 citations)
- Combinatorics and commutative algebra (1107 citations)

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Symmetric group, Partially ordered set and Conjecture. His studies in Symmetric function, Partition, Polytope, Permutation and Integer are all subfields of Combinatorics research. His studies in Discrete mathematics integrate themes in fields like Function and Parity of a permutation.

His Symmetric group study is concerned with the larger field of Pure mathematics. His Partially ordered set research incorporates themes from Generalization and Hyperplane. The various areas that he examines in his Enumerative combinatorics study include Extremal combinatorics and Algebra over a field.

- Combinatorics (78.37%)
- Discrete mathematics (35.46%)
- Symmetric group (15.25%)

- Combinatorics (78.37%)
- Discrete mathematics (35.46%)
- Conjecture (11.35%)

His primary scientific interests are in Combinatorics, Discrete mathematics, Conjecture, Partially ordered set and Smith normal form. His Combinatorics study frequently involves adjacent topics like Matrix. His Discrete mathematics research is multidisciplinary, relying on both Distributive lattice, Arithmetic, Integer sequence and Product.

His Conjecture research is multidisciplinary, incorporating elements of Unimodality, Characterization, Chordal graph and Vertex. In his study, Bijection is strongly linked to Lattice, which falls under the umbrella field of Partially ordered set. The concepts of his Smith normal form study are interwoven with issues in Symmetric function and Lattice.

- Formulae for Askey-Wilson moments and enumeration of staircase tableaux (40 citations)
- Smith normal form in combinatorics (36 citations)
- The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions (29 citations)

- Combinatorics
- Algebra
- Discrete mathematics

Richard P. Stanley mainly focuses on Combinatorics, Discrete mathematics, Conjecture, Product and Matrix. Much of his study explores Combinatorics relationship to Polynomial. His work in Discrete mathematics addresses issues such as Type, which are connected to fields such as Unimodality, Open problem and Binomial coefficient.

His research integrates issues of Simple graph, Partition, Chordal graph and Vertex in his study of Conjecture. His Product research also works with subjects such as

- Random permutation that intertwine with fields like Rencontres numbers, Mixing and Parity of a permutation,
- Separation together with Random permutation statistics and Golomb–Dickman constant. In general Matrix, his work in Smith normal form is often linked to Smith form linking many areas of study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Combinatorics and commutative algebra

Richard P. Stanley.

**(1983)**

2095 Citations

Enumerative Combinatorics: Index

Richard P. Stanley;Sergey Fomin.

**(1999)**

2073 Citations

Enumerative Combinatorics: Volume 1

Richard P. Stanley.

Enumerative Combinatorics: Volume 1 2nd **(2011)**

1800 Citations

Hilbert functions of graded algebras

Richard P Stanley.

Advances in Mathematics **(1978)**

995 Citations

Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry

Richard P. Stanley.

Annals of the New York Academy of Sciences **(1989)**

742 Citations

Some combinatorial properties of Jack symmetric functions

Richard P Stanley.

Advances in Mathematics **(1989)**

657 Citations

The number of faces of a simplicial convex polytope

Richard P Stanley.

Advances in Mathematics **(1980)**

571 Citations

Ordered structures and partitions

Richard P. Stanley.

**(1972)**

557 Citations

Invariants of finite groups and their applications to combinatorics

Richard P. Stanley.

Bulletin of the American Mathematical Society **(1979)**

543 Citations

Acyclic orientations of graphs

Richard P. Stanley.

Discrete Mathematics **(1973)**

529 Citations

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