World's Best Scientists 2026 revealed!
Richard P. Stanley

Richard P. Stanley

Award Badge
Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
73
Citations
28533
World Ranking
229
National Ranking
129

Engineering and Technology

D-Index
72
Citations
27335
World Ranking
892
National Ranking
305

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 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

Overview

Richard P. Stanley is affiliated with MIT in the United States and has focused primarily on the field of Mathematics. Within this broad area, their work spans several subfields, including Discrete Mathematics and Combinatorics, Mathematical Physics, Algebra and Number Theory, Computational Theory and Mathematics, and Geometry and Topology.

The main topics of research covered by Richard P. Stanley include:

  • Advanced Combinatorial Mathematics
  • Advanced Algebra and Geometry
  • Graph Labeling and Dimension Problems
  • Graph theory and CDMA systems
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Advanced Mathematical Identities

They have published extensively, with frequent appearances in venues such as:

  • arXiv (Cornell University)
  • Enumerative Combinatorics and Applications
  • Canadian Geotechnical Journal
  • American Mathematical Monthly
  • Frontiers in Big Data

Among recent publications authored or co-authored by Richard P. Stanley are:

  • "Some Linear Recurrences Motivated by Stern's Diatomic Array," 2020, American Mathematical Monthly
  • "Interpretation of uplift pipeline-soil interaction behaviour using acoustic emission measurements," 2021, Canadian Geotechnical Journal
  • "On a generalization of Lie(k): A CataLAnKe theorem," 2021, Advances in Mathematics
  • "Deploying machine learning with messy, real world data in low- and middle-income countries: Developing a global health use case," 2022, Frontiers in Big Data
  • "A 1RM Strengthening and Exercise Programme for the Treatment of Knee Osteoarthritis: A Quality-Improvement Study," 2023, Journal of Clinical Medicine

Collaborations have included frequent co-authors such as Alister Smith, Giorgio Barone, Rene Wackrow, Amy Finnegan, and David D. Potenziani.

In addition to articles, Richard P. Stanley has contributed to book publications with Cambridge University Press, notably the 2023 title "Enumerative Combinatorics," which has attracted a significant number of citations.

Recognition of their work is reflected in several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Rolf Schock Prize for Mathematics (2003)
  • Steele Prize for Mathematical Exposition (2001)
  • Member of the National Academy of Sciences (1995)
  • Fellow of the American Academy of Arts and Sciences (1988)
  • Fellow of John Simon Guggenheim Memorial Foundation (1983)
  • George Pólya Prize (1975)

Best Publications

  • Enumerative Combinatorics: Index

    Richard P. Stanley;Sergey Fomin

  • Combinatorics and commutative algebra

    Richard P. Stanley

  • Enumerative Combinatorics: Volume 1

    Richard P. Stanley

  • Hilbert functions of graded algebras

    Richard P Stanley

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

    Richard P. Stanley

  • Some combinatorial properties of Jack symmetric functions

    Richard P Stanley

  • The number of faces of a simplicial convex polytope

    Richard P Stanley

  • Ordered structures and partitions

    Richard P. Stanley

  • Invariants of finite groups and their applications to combinatorics

    Richard P. Stanley

  • Acyclic orientations of graphs

    Richard P. Stanley

  • A Symmetric Function Generalization of the Chromatic Polynomial of a Graph

    R.P. Stanley

  • Differentiably Finite Power Series

    Richard P. Stanley

  • Two poset polytopes

    Richard P. Stanley

  • Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

    Richard P. Stanley

  • Some Combinatorial Properties of Schubert Polynomials

    Sara C. Billey;William Jockusch;Richard P. Stanley

  • Decompositions of Rational Convex Polytopes

    Richard P. Stanley

  • An Introduction to Hyperplane Arrangements

    Richard P. Stanley

  • On the Number of Reduced Decompositions of Elements of Coxeter Groups

    Richard P. Stanley

  • Theory and Application of Plane Partitions: Part 1

    Richard P. Stanley

  • Linear Diophantic Equations and Local Cohomology.

    Richard P. Stanley

  • Enumerative Combinatorics: Contents

    Unknown

Frequent Co-Authors

Sergey Fomin
Sergey Fomin University of Michigan–Ann Arbor
Anders Björner
Anders Björner Royal Institute of Technology
Lauren Williams
Lauren Williams Harvard University
Dennis Stanton
Dennis Stanton University of Minnesota
James Propp
James Propp University of Massachusetts Lowell
Jim Pitman
Jim Pitman University of California, Berkeley
Bruce E. Sagan
Bruce E. Sagan Michigan State University
Paul Erdös
Paul Erdös Hungarian Academy of Sciences
Zoltán Füredi
Zoltán Füredi University of Illinois at Urbana-Champaign

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