Richard P. Stanley

Richard P. Stanley is a renowned American mathematician specializing in combinatorics and its applications. Born in 1944, he is a professor emeritus at the Massachusetts Institute of Technology (MIT), where he taught for many years in the Department of Mathematics.

Stanley is best known for his extensive work in algebraic combinatorics, a field that connects combinatorial principles with algebraic structures. He authored the influential two-volume book "Enumerative Combinatorics," which is considered a fundamental text in the field. His research encompasses a wide range of topics, including posets (partially ordered sets), symmetric functions, and commutative algebra.

Throughout his career, Stanley has received numerous accolades:

Leroy P. Steele Prize for Mathematical Exposition (2001): Awarded by the American Mathematical Society for his exceptional expository writing.

Schock Prize in Mathematics (2003): Recognized for his work in combinatorics and its applications to other areas of mathematics.

Election to the National Academy of Sciences (1995): Honoring his distinguished and continuing achievements in original research.

Stanley's work has had a profound impact on modern combinatorics, influencing both theoretical advancements and practical applications. He is also known for mentoring many young mathematicians and contributing to the mathematical community through lectures and collaborations.

All published works

Action	Title	Year	Authors
+ PDF Chat	A Shifted Parking Function Symmetric Function	2024	Richard P. Stanley
+ PDF Chat	Theorems and conjectures on some rational generating functions	2023	Richard P. Stanley
+	Enumerative Combinatorics	2023	Richard P. Stanley
+	The Characters of GL (n,C)	2023	Richard P. Stanley
+	Algebraic, D-finite, and Noncommutative Generating Functions	2023	Richard P. Stanley
+	Symmetric Functions	2023	Richard P. Stanley
+	Trees and the Composition of Generating Functions	2023	Richard P. Stanley
+	Some linear transformations on symmetric functions arising from a Formula of Thiel and Williams	2023	Teresa Li Lili Mu Richard P. Stanley
+	Posets of width two and skew Young diagrams	2023	Richard P. Stanley
+	Some enumerative properties of parking functions	2023	Richard P. Stanley Mei Yin
+	The Redei--Berge symmetric function of a directed graph	2023	Darij Grinberg Richard P. Stanley
+ PDF Chat	On a generalization of Lie(k): A CataLAnKe theorem	2021	Tamar Friedmann Phil Hanlon Richard P. Stanley Michelle L. Wachs
+ PDF Chat	Enumerative and Algebraic Combinatorics in the 1960’s and 1970’s	2021	Richard P. Stanley
+	Enumerative and Algebraic Combinatorics in the 1960's and 1970's	2021	Richard P. Stanley
+	Theorems and Conjectures on Some Rational Generating Functions	2021	Richard P. Stanley
+	Geometry	2020	Richard P. Stanley
+ PDF Chat	The Smith normal form distribution of a random integer matrix	2020	Yinghui Wang Richard P. Stanley
+ PDF Chat	Some Linear Recurrences Motivated by Stern’s Diatomic Array	2020	Richard P. Stanley
+ PDF Chat	A generalization of a 1998 unimodality conjecture of Reiner and Stanton	2019	Richard P. Stanley Fabrizio Zanello
+	A note on the asymptotics of the number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e22" altimg="si14.gif"><mml:mi>O</mml:mi></mml:math>-sequences of given length	2019	Richard P. Stanley Fabrizio Zanello
+	Irrational Triangles with Polynomial Ehrhart Functions	2019	Dan Cristofaro‐Gardiner Teresa Xueshan Li Richard P. Stanley
+	Some Linear Recurrences Motivated by Stern's Diatomic Array	2019	Richard P. Stanley
+	Proof of the Gorenstein Interval Conjecture in low socle degree	2019	Sung Gi Park Richard P. Stanley Fabrizio Zanello
+	Some Linear Recurrences Motivated by Stern's Diatomic Array	2019	Richard P. Stanley
+	A note on the asymptotics of the number of O-sequences of given length	2018	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	Generalized $H$-Vectors, Intersection Cohomology of Toric Varieties, and Related Results	2018	Richard P. Stanley
+ PDF Chat	Some aspects of (r,k)-parking functions	2018	Richard P. Stanley Yinghui Wang
+	Proof of the Gorenstein Interval Conjecture in low socle degree	2018	Sung Gi Park Richard P. Stanley Fabrizio Zanello
+	A Glimpse of Combinatorial Commutative Algebra	2018	Richard P. Stanley
+	Action of the symmetric group on the free LAnKe: A CataLAnKe theorem	2018	Tamar Friedmann Philip J. Hanlon Richard P. Stanley Michelle L. Wachs
+	A Glimpse of Young Tableaux	2018	Richard P. Stanley
+	Enumeration Under Group Action	2018	Richard P. Stanley
+	Cycles, Bonds, and Electrical Networks	2018	Richard P. Stanley
+	Miscellaneous Gems of Algebraic Combinatorics	2018	Richard P. Stanley
+	Young Diagrams and q-Binomial Coefficients	2018	Richard P. Stanley
+	The Sperner Property	2018	Richard P. Stanley
+	Group Actions on Boolean Algebras	2018	Richard P. Stanley
+	Cubes and the Radon Transform	2018	Richard P. Stanley
+	Algebraic Combinatorics	2018	Richard P. Stanley
+	The Matrix-Tree Theorem	2018	Richard P. Stanley
+	Eulerian Digraphs and Oriented Trees	2018	Richard P. Stanley
+	Walks in Graphs	2018	Richard P. Stanley
+	A note on the asymptotics of the number of O-sequences of given length	2018	Richard P. Stanley Fabrizio Zanello
+	Proof of the Gorenstein Interval Conjecture in low socle degree	2018	Sung Gi Park Richard P. Stanley Fabrizio Zanello
+	A generalization of a 1998 unimodality conjecture of Reiner and Stanton	2017	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	The Smith normal form of a specialized Jacobi–Trudi matrix	2017	Richard P. Stanley
+	Some Schubert shenanigans	2017	Richard P. Stanley
+	The Smith Normal Form Distribution of A Random Integer Matrix	2017	Yinghui Wang Richard P. Stanley
+ PDF Chat	The Smith Normal Form Distribution of A Random Integer Matrix	2017	Yinghui Wang Richard P. Stanley
+	A generalization of a 1998 unimodality conjecture of Reiner and Stanton	2017	Richard P. Stanley Fabrizio Zanello
+	Smith normal form in combinatorics	2016	Richard P. Stanley
+ PDF Chat	Some Asymptotic Results on q-Binomial Coefficients	2016	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	A Formula for the Specialization of Skew Schur Functions	2016	Xiaomei Chen Richard P. Stanley
+	A Formula for the Specialization of Skew Schur Functions	2016	Xiaomei Chen Richard P. Stanley
+	A refined enumeration of hex trees and related polynomials	2016	Hana Kim Richard P. Stanley
+	Smith Normal Form in Combinatorics	2016	Richard P. Stanley
+	Smith Normal Form in Combinatorics	2016	Richard P. Stanley
+	The Smith Normal Form of a Specialized Jacobi-Trudi Matrix	2015	Richard P. Stanley
+	The Smith normal form of a matrix associated with Young’s lattice	2015	Tommy Wuxing Cai Richard P. Stanley
+	Unimodality of partitions with distinct parts inside Ferrers shapes	2015	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements	2015	Lili Mu Richard P. Stanley
+ PDF Chat	Valid Orderings of Real Hyperplane Arrangements	2015	Richard P. Stanley
+	Valid Orderings of Real Hyperplane Arrangements	2015	Richard P. Stanley
+	History of Catalan Numbers (by Igor Pak)	2015	Richard P. Stanley
+	Catalan Numbers	2015	Richard P. Stanley
+	Some asymptotic results on q-binomial coefficients	2015	Richard P. Stanley Fabrizio Zanello
+	Herbert S. Wilf (1931–2012)	2015	Fan Chung Curtis Greene J. I. Hutchinson Donald E. Knuth Aviezri S. Fraenkel Doron Zeilberger Marko Petkovšek Neil J. Calkin Rodney Canfield Albert Nijenhuis
+	The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions	2015	Richard P. Stanley Fabrizio Zanello
+	The Smith Normal Form of a Matrix Associated with Young's Lattice	2015	Tommy Wuxing Cai Richard P. Stanley
+	Supersolvability and Freeness for $\psi$-graphical Arrangements	2015	Lili Mu Richard P. Stanley
+	New examples of period collapse	2015	Dan Cristofaro‐Gardiner Teresa Xueshan Li Richard P. Stanley
+	Supersolvability and Freeness for $ψ$-graphical Arrangements	2015	Lili Mu Richard P. Stanley
+ PDF Chat	The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions	2015	Richard P. Stanley Fabrizio Zanello
+	The Smith Normal Form of a Specialized Jacobi-Trudi Matrix	2015	Richard P. Stanley
+	Some asymptotic results on q-binomial coefficients	2015	Richard P. Stanley Fabrizio Zanello
+	The Smith Normal Form of a Matrix Associated with Young's Lattice	2015	Tommy Wuxing Cai Richard P. Stanley
+	SUBGROUP THEORETICAL PROPERTIES DETERMINING CLASSES OF GENERALIZED NILPOTENT GROUPS	2015	Richard P. Stanley
+ PDF Chat	A distributive lattice connected with arithmetic progressions of length three	2014	Fu Liu Richard P. Stanley
+ PDF Chat	How the Upper Bound Conjecture Was Proved	2014	Richard P. Stanley
+ PDF Chat	The Lecture Hall Parallelepiped	2014	Fu Liu Richard P. Stanley
+ PDF Chat	Smith normal form of a multivariate matrix associated with partitions	2014	Christine Bessenrodt Richard P. Stanley
+	Smith normal form of a multivariate matrix associated with partitions	2014	Christine Bessenrodt Richard P. Stanley
+ PDF Chat	Algebraic combinatorics: walks, trees, tableaux, and more	2014	Richard P. Stanley
+	A Distributive Lattice Connected with Arithmetic Progressions of Length Three	2013	Fu Liu Richard P. Stanley
+	The Catalan case of Armstrong's conjecture on simultaneous core partitions	2013	Richard P. Stanley Fabrizio Zanello
+	The Catalan case of Armstrong's conjecture on core partitions	2013	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	Separation Probabilities for Products of Permutations	2013	Olivier Bernardi Rosena R. X. Du Alejandro H. Morales Richard P. Stanley
+	Smith Normal Form of a Multivariate Matrix Associated with Partitions	2013	Christine Bessenrodt Richard P. Stanley
+	Counting Conjugacy Classes of Elements of Finite Order in Lie Groups	2013	Tamar Friedmann Richard P. Stanley
+	Counting conjugacy classes of elements of finite order in Lie groups	2013	Tamar Friedmann Richard P. Stanley
+	Algebraic Combinatorics by Richard P. Stanley Mathematics	2013	Richard P. Stanley
+	Valid Orderings of Real Hyperplane Arrangements	2013	Richard P. Stanley
+	Unimodality of partitions with distinct parts inside Ferrers shapes	2013	Richard P. Stanley Fabrizio Zanello
+	Young Diagrams and q-Binomial Coefficients	2013	Richard P. Stanley
+	Enumeration Under Group Action	2013	Richard P. Stanley
+	A Glimpse of Young Tableaux	2013	Richard P. Stanley
+	Walks in Graphs	2013	Richard P. Stanley
+	The Sperner Property	2013	Richard P. Stanley
+	TOPICS IN ALGEBRAIC COMBINATORICS	2013	Richard P. Stanley
+	A Distributive Lattice Connected with Arithmetic Progressions of Length Three	2013	Fu Liu Richard P. Stanley
+ PDF Chat	Some combinatorial properties of hook lengths,contents, and parts of partitions	2013	Richard P. Stanley
+	Random Walks	2013	Richard P. Stanley
+	The Catalan case of Armstrong's conjecture on simultaneous core partitions	2013	Richard P. Stanley Fabrizio Zanello
+	Valid Orderings of Real Hyperplane Arrangements	2013	Richard P. Stanley
+	Counting Conjugacy Classes of Elements of Finite Order in Lie Groups	2013	Tamar Friedmann Richard P. Stanley
+	Smith Normal Form of a Multivariate Matrix Associated with Partitions	2013	Christine Bessenrodt Richard P. Stanley
+	Unimodality of partitions with distinct parts inside Ferrers shapes	2013	Richard P. Stanley Fabrizio Zanello
+	Algebraic Combinatorics	2013	Richard P. Stanley
+	Miscellaneous Gems of Algebraic Combinatorics	2013	Richard P. Stanley
+	Group Actions on Boolean Algebras	2013	Richard P. Stanley
+	The Matrix-Tree Theorem	2013	Richard P. Stanley
+	Eulerian Digraphs and Oriented Trees	2013	Richard P. Stanley
+ PDF Chat	The string landscape: On formulas for counting vacua	2012	Tamar Friedmann Richard P. Stanley
+	An equivalence relation on the symmetric group and multiplicity-free flag h-vectors	2012	Richard P. Stanley
+	Formulae for Askey-Wilson moments and enumeration of staircase tableaux	2012	Sylvie Corteel Richard P. Stanley Dennis Stanton Lauren Williams
+	Formulae for Askey-Wilson moments and enumeration of staircase tableaux	2012	Sylvie Corteel Dennis Stanton Lauren Williams Richard P. Stanley
+ PDF Chat	On the Rank Function of a Differential Poset	2012	Richard P. Stanley Fabrizio Zanello
+	The Lecture Hall Parallelepiped	2012	Fu Liu Richard P. Stanley
+ PDF Chat	An equivalence relation on the symmetric group and multiplicity-free flag $h$-vectors	2012	Richard P. Stanley
+	An equivalence relation on the symmetric group and multiplicity-free flag h-vectors	2012	Richard P. Stanley
+	Enumerative Combinatorics: Volume 1	2011	Richard P. Stanley
+	Enumerative Combinatorics	2011	Richard P. Stanley
+	Partially Ordered Sets	2011	Richard P. Stanley
+	Rational Generating Functions	2011	Richard P. Stanley
+	What Is Enumerative Combinatorics?	2011	Richard P. Stanley
+	Sieve Methods	2011	Richard P. Stanley
+	On the rank function of a differential poset	2011	Richard P. Stanley Fabrizio Zanello
+ PDF Chat	Orientations, Lattice Polytopes, and Group Arrangements II: Modular and Integral Flow Polynomials of Graphs	2011	Beifang Chen Richard P. Stanley
+ PDF Chat	Two Remarks on Skew Tableaux	2011	Richard P. Stanley
+	Two enumerative results on cycles of permutations	2011	Richard P. Stanley
+	On the rank function of a differential poset	2011	Richard P. Stanley Fabrizio Zanello
+	Tilings*	2010	Federico Ardila Richard P. Stanley
+	Formulae for Askey-Wilson moments and enumeration of staircase tableaux	2010	Sylvie Corteel Richard P. Stanley Dennis Stanton Lauren Williams
+ PDF Chat	A survey of alternating permutations	2010	Richard P. Stanley
+	Formulae for Askey-Wilson moments and enumeration of staircase tableaux	2010	Sylvie Corteel Richard P. Stanley Dennis Stanton Lauren Williams
+	A combinatorial miscellany	2010	Anders Björner Richard P. Stanley
+ PDF Chat	Some combinatorial properties of hook lengths, contents, and parts of partitions	2009	Richard P. Stanley
+ PDF Chat	Some Hecke algebra products and corresponding random walks	2009	Rosena R. X. Du Richard P. Stanley
+ PDF Chat	Promotion and Evacuation	2009	Richard P. Stanley
+	Two Enumerative Results on Cycles of Permutations	2009	Richard P. Stanley
+ PDF Chat	Acyclic Orientations of Graphs*	2009	Richard P. Stanley
+	A Survey of Alternating Permutations	2009	Richard P. Stanley
+ PDF Chat	Pairs of noncrossing free Dyck paths and noncrossing partitions	2008	William Y. C. Chen Sabrina X. M. Pang Ellen X. Y. Qu Richard P. Stanley
+ PDF Chat	Longest alternating subsequences of permutations	2008	Richard P. Stanley
+ PDF Chat	Chains in the Bruhat order	2008	Alexander Postnikov Richard P. Stanley
+	Polynomial Coefficient Enumeration	2008	Tewodros Amdeberhan Richard P. Stanley
+	Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions	2008	William Y. C. Chen Sabrina X. M. Pang Ellen X. Y. Qu Richard P. Stanley
+	Some Hecke Algebra Products and Corresponding Random Walks	2008	Rosena R. X. Du Richard P. Stanley
+	Promotion and Evacuation	2008	Richard P. Stanley
+	Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions	2008	Richard P. Stanley
+ PDF Chat	An introduction to hyperplane arrangements	2007	Richard P. Stanley
+ PDF Chat	Increasing and decreasing subsequences and their variants	2007	Richard P. Stanley
+	Crossings and nestings of matchings and partitions	2006	William Chen Eva Y.P. Deng Rosena R. X. Du Richard P. Stanley Catherine H. Yan
+	Alternating permutations and symmetric functions	2006	Richard P. Stanley
+	Ordering events in Minkowski space	2006	Richard P. Stanley
+	Acyclic orientations of graphs	2006	Richard P. Stanley
+	Pflasterungen	2006	Federico Ardila Richard P. Stanley
+	Increasing and decreasing subsequences and their variants	2006	Richard P. Stanley
+	A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group	2006	Richard P. Stanley
+	Alternating permutations and symmetric functions	2006	Richard P. Stanley
+ PDF Chat	A Map on the Space of Rational Functions	2005	George Boros John B. Little Victor H. Moll Edward Mosteig Richard P. Stanley
+	The Descent Set and Connectivity Set of a Permutation	2005	Richard P. Stanley
+ PDF Chat	Properties of Some Character Tables Related to the Symmetric Groups	2005	Christine Bessenrodt Jørn B. Olsson Richard P. Stanley
+	Chains in the Bruhat order	2005	Alexander Postnikov Richard P. Stanley
+ PDF Chat	Some remarks on sign-balanced and maj-balanced posets	2005	Richard P. Stanley
+	Increasing and Decreasing Subsequences of Permutations and Their Variants	2005	Richard P. Stanley
+	An analogue of Young's lattice for compositions	2005	Anders Björner Richard P. Stanley
+	The Descent Set and Connectivity Set of a Permutation	2005	Richard P. Stanley
+ PDF Chat	Coefficients and roots of Ehrhart polynomials	2005	Matthias Beck Jesús A. De Loera Mike Develin Julián Pfeifle Richard P. Stanley
+	Ordering Events in Minkowski Space	2005	Richard P. Stanley
+	Longest alternating subsequences of permutations	2005	Richard P. Stanley
+	Crossings and Nestings of Matchings and Partitions	2005	William Y. C. Chen Eva Y.P. Deng Rosena R. X. Du Richard P. Stanley Catherine H. Yan
+	Tilings	2005	Federico Ardila Richard P. Stanley
+	Chains in the Bruhat order	2005	Alexander Postnikov Richard P. Stanley
+ PDF Chat	Recent developments in algebraic combinatorics	2004	Richard P. Stanley
+ PDF Chat	Bottom Schur Functions	2004	Peter Clifford Richard P. Stanley
+	A super-class walk on upper-triangular matrices	2004	Ery Arias-Castro Persi Diaconis Richard P. Stanley
+	Properties of some character tables related to the symmetric groups	2004	Christine Bessenrodt Jørn B. Olsson Richard P. Stanley
+	Coefficients and Roots of Ehrhart Polynomials	2004	Matthias Beck Jesús A. De Loera Mike Develin Julián Pfeifle Richard P. Stanley
+	The mathematical knight	2003	Noam D. Elkies Richard P. Stanley
+	An Unexpected Appearance of the Catalan Numbers: 10905	2003	Richard P. Stanley Robin Chapman
+ PDF Chat	On the enumeration of skew Young tableaux	2003	Richard P. Stanley
+	A super-class walk on upper-triangular matrices	2003	Ery Arias-Castro Persi Diaconis Richard P. Stanley
+	A map on the space of rational functions	2003	George Boros John B. Little Victor H. Moll Edward Mosteig Richard P. Stanley
+	Bottom Schur functions	2003	Peter Clifford Richard P. Stanley
+	The Rank and Minimal Border Strip Decompositions of a Skew Partition	2002	Richard P. Stanley
+ PDF Chat	Recent progress in algebraic combinatorics	2002	Richard P. Stanley
+	Rodica Simion and Shuffle Posets	2002	Richard P. Stanley
+ PDF Chat	A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron	2002	Richard P. Stanley Jim Pitman
+	Recent developments in algebraic combinatorics	2002	Richard P. Stanley
+	Some remarks on sign-balanced and maj-balanced posets	2002	Richard P. Stanley
+	Generalized Riffle Shuffles and Quasisymmetric Functions	2001	Richard P. Stanley
+	Irreducible Symmetric Group Characters of Rectangular Shape	2001	Richard P. Stanley
+	On the Enumeration of Skew Young Tableaux	2001	Richard P. Stanley
+	The Rank and Minimal Border Strip Decompositions of a Skew Partition	2001	Richard P. Stanley
+	Deformations of Coxeter Hyperplane Arrangements	2000	Alexander Postnikov Richard P. Stanley
+	A note on symmetric powers of the standard representation of .	2000	David Savitt Richard P. Stanley
+	A Note on the Symmetric Powers of the Standard Representation of S_n	2000	David Savitt Richard P. Stanley
+	Recent Progress in Algebraic Combinatorics	2000	Richard P. Stanley
+	Domino Tilings with Barriers	1999	James Propp Richard P. Stanley
+	Flag-symmetry of the poset of shuffles and a local action of the symmetric group	1999	Rodica Simion Richard P. Stanley
+	Symmetric Functions	1999	Richard P. Stanley
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin
+	Algebraic, <i>D</i>-Finite, and Noncommutative Generating Functions	1999	Richard P. Stanley
+	Generalized Riffle Shuffles and Quasisymmetric Functions	1999	Richard P. Stanley
+	A polytope related to empirical distributions, plane trees, parking functions, and the associahedron	1999	Jim Pitman Richard P. Stanley
+ PDF Chat	Spanning trees and a conjecture of Kontsevich	1998	Richard P. Stanley
+	A Doubly Rational Generating Function: 10493	1998	Richard P. Stanley Christophe Reutenauer Robin Chapman
+	Graph colorings and related symmetric functions: ideas and applications A description of results, interesting applications, & notable open problems	1998	Richard P. Stanley
+	A Tree in the Integer Lattice: 10360	1998	Richard P. Stanley Robin Chapman
+	Hyperplane Arrangements, Parking Functions and Tree Inversions	1998	Richard P. Stanley
+ PDF Chat	A $q$-deformation of a trivial symmetric group action	1998	Phil Hanlon Richard P. Stanley
+	Flag-symmetry of the poset of shuffles and a local action of the symmetric group	1998	Rodica Simion Richard P. Stanley
+	Domino tilings with barriers	1998	James Propp Richard P. Stanley
+	Spanning trees and a conjecture of Kontsevich	1998	Richard P. Stanley
+	Mathematical Essays in honor of Gian-Carlo Rota	1998	Bruce E. Sagan Richard P. Stanley
+	Lê Numbers of Arrangements and Matroid Identities	1997	David B. Massey Rodica Simion Richard P. Stanley Dirk Vertigan Dominic Welsh Günter M. Ziegler
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota
+	Sieve Methods	1997	Richard P. Stanley
+	Hipparchus, Plutarch, Schröder, and Hough	1997	Richard P. Stanley
+	Deformations of Coxeter hyperplane arrangements	1997	Alexander Postnikov Richard P. Stanley
+ PDF Chat	Parking Functions and Noncrossing Partitions	1996	Richard P. Stanley
+	Polygon Dissections and Standard Young Tableaux	1996	Richard P. Stanley
+	A Matrix for Counting Paths in Acyclic Digraphs	1996	Richard P. Stanley
+	Algebraic enumeration	1996	Ira M. Gessel Richard P. Stanley
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley
+	Formal Power Series and Algebraic Combinatorics (Séries Formelles et Combinatoire Algébrique), 1994	1995	Louis J. Billera Curtis Greene Rodica Simion Richard P. Stanley
+ PDF Chat	Flag-symmetric and Locally Rank-symmetric Partially Ordered Sets	1995	Richard P. Stanley
+	A Symmetric Function Generalization of the Chromatic Polynomial of a Graph	1995	Richard P. Stanley
+	Semi-primary lattices and tableau algorithms	1995	Glenn Tesler Richard P. Stanley
+	B and d analogues of stable schubert polynomials and related insertion algorithms	1995	Tao Kai Lam Richard P. Stanley
+	Flagf-vectors and thecd-index	1994	Richard P. Stanley
+	Schubert Polynomials and the Nilcoxeter Algebra	1994	Sergey Fomin Richard P. Stanley
+	Simplicial and cubical complexes: analogies and differences	1994	Gábor Hetyei Richard P. Stanley
+	A Survey of Eulerian Posets	1994	Richard P. Stanley
+ PDF Chat	A combinatorial decomposition of acyclic simplicial complexes	1993	Richard P. Stanley
+	A Monotonicity Property of h-vectors and h*-vectors	1993	Richard P. Stanley
+	Derangements on the n-cube	1993	William Y. C. Chen Richard P. Stanley
+	On immanants of Jacobi-Trudi matrices and permutations with restricted position	1993	Richard P. Stanley John R. Stembridge
+ PDF Chat	Some Combinatorial Properties of Schubert Polynomials	1993	Sara Billey William Jockusch Richard P. Stanley
+	Sets of vectors with many orthogonal paris:	1992	Zoltán Füredi Richard P. Stanley
+	Subdivisions and Local h-Vectors	1992	Richard P. Stanley
+ PDF Chat	Subdivisions and local ℎ-vectors	1992	Richard P. Stanley
+	Quotients of Coxeter Complexes and P-Partitions	1992	Victor Reiner Richard P. Stanley
+	Some combinatorial aspects of the spectra of normally distributed random matrices	1992	Philip J. Hanlon Richard P. Stanley John R. Stembridge
+ PDF Chat	Some applications of algebra to combinatorics	1991	Richard P. Stanley
+	On the Hilbert function of a graded Cohen-Macaulay domain	1991	Richard P. Stanley
+	DIFFERENTIAL POSETS(Combinatorial Aspects in Representation Theory and Geometry)	1991	Richard P. Stanley
+	f-vectors and h-vectors of simplicial posets	1991	Richard P. Stanley
+ PDF Chat	Robinson-schensted algorithms for skew tableaux	1990	Bruce E. Sagan Richard P. Stanley
+	Variations on Differential Posets	1990	Richard P. Stanley
+	Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>	1989	Richard P. Stanley
+	Some combinatorial properties of Jack symmetric functions	1989	Richard P. Stanley
+	Plane Partitions: Past, Present, and Futurea	1989	Richard P. Stanley
+ PDF Chat	A recurrence for linear extensions	1989	Paul H. Edelman Takayuki Hibi Richard P. Stanley
+ PDF Chat	Differential Posets	1988	Richard P. Stanley
+ PDF Chat	Differential posets	1988	Richard P. Stanley
+ PDF Chat	On the number of faces of centrally-symmetric simplicial polytopes	1987	Richard P. Stanley
+	The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem	1987	Anders Björner Richard P. Stanley Péter Frankl
+ PDF Chat	A bound on the spectral radius of graphs with e edges	1987	Richard P. Stanley
+	Symmetries of plane partitions	1986	Richard P. Stanley
+ PDF Chat	Two poset polytopes	1986	Richard P. Stanley
+	Enumeration in geometric lattices	1986	Gian‐Carlo Rota Jon Folkman Richard P. Stanley R. P. Dilworth Curtis Greene Thomas A. Dowling Richard M. Wilson
+	Partially Ordered Sets	1986	Richard P. Stanley
+	Sieve Methods	1986	Richard P. Stanley
+	Enumerative Combinatorics	1986	Richard P. Stanley
+	Rational Generating Functions	1986	Richard P. Stanley
+	What Is Enumerative Combinatorics?	1986	Richard P. Stanley
+	A Baker's dozen of conjectures concerning plane partitions	1986	Richard P. Stanley
+	On dimer coverings of rectangles of fixed width	1985	Richard P. Stanley
+	Unimodality and Lie Superalgebras	1985	Richard P. Stanley
+	THE NUMBER OF FACES OF SIMPLICIAL POLYTOPES AND SPHERES<i>a</i>	1985	Richard P. Stanley
+	The stable behavior of some characters of SL<sup>1</sup>	1984	Richard P. Stanley
+ PDF Chat	On the Number of Reduced Decompositions of Elements of Coxeter Groups	1984	Richard P. Stanley
+	Quotients of peck posets	1984	Richard P. Stanley
+	The 𝑞-Dyson conjecture, generalized exponents, and the internal product of Schur functions	1984	Richard P. Stanley
+	GL(<i>n</i>, C) FOR COMBINATORIALISTS	1983	Richard P. Stanley
+	Nonnegative Integral Solutions to Linear Equations	1983	Richard P. Stanley
+	The Face Ring of a Simplicial Complex	1983	Richard P. Stanley
+ PDF Chat	Combinatorics and Commutative Algebra	1983	Richard P. Stanley
+	Background	1983	Richard P. Stanley
+	Linear diophantine equations and local cohomology	1982	Richard P. Stanley
+	Some aspects of groups acting on finite posets	1982	Richard P. Stanley
+	An Introduction to Cohen-Macaulay Partially Ordered Sets	1982	Anders Björner Adriano M. Garsia Richard P. Stanley
+ PDF Chat	Two combinatorial applications of the Aleksandrov-Fenchel inequalities	1981	Richard P. Stanley
+ PDF Chat	Book Review: Symmetric functions and Hall polynomials	1981	Richard P. Stanley
+	Factorization of permutations into n-cycles	1981	Richard P. Stanley
+	The character generator of SU(<i>n</i>)	1980	Richard P. Stanley
+ PDF Chat	Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property	1980	Richard P. Stanley
+	Differentiably Finite Power Series	1980	Richard P. Stanley
+	The number of faces of a simplicial convex polytope	1980	Richard P. Stanley
+	Decompositions of Rational Convex Polytopes	1980	Richard P. Stanley
+ PDF Chat	Balanced Cohen-Macaulay Complexes	1979	Richard P. Stanley
+ PDF Chat	Invariants of finite groups and their applications to combinatorics	1979	Richard P. Stanley
+ PDF Chat	Balanced Cohen-Macaulay complexes	1979	Richard P. Stanley
+	Combinatorics and invariant theory	1979	Richard P. Stanley
+	Exponential Structures	1978	Richard P. Stanley
+	Enumeration of power sums modulo a prime	1978	Andrew Odlyzko Richard P. Stanley
+	Hilbert functions of graded algebras	1978	Richard P. Stanley
+	Stirling polynomials	1978	Ira M. Gessel Richard P. Stanley
+	Relative invariants of finite groups generated by pseudoreflections	1977	Richard P. Stanley
+	Cohen-Macaulay Complexes	1977	Richard P. Stanley
+	Some combinatorial aspects of the Schubert calculus	1977	Richard P. Stanley
+	Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings	1976	Richard P. Stanley
+	Binomial posets, Möbius inversion, and permutation enumeration	1976	Richard P. Stanley
+	Binomial Posets, Miibius Inversion,	1976	Richard P. Stanley
+ PDF Chat	Branchings and Partitions	1975	L. Carlitz Richard P. Stanley
+	The Fibonacci Lattice	1975	Richard P. Stanley
+	The Upper Bound Conjecture and Cohen-Macaulay Rings	1975	Richard P. Stanley
+ PDF Chat	Cohen-Macaulay rings and constructible polytopes	1975	Richard P. Stanley
+ PDF Chat	Branchings and partitions	1975	L. Carlitz Richard P. Stanley
+ PDF Chat	Finite lattices and Jordan-Hölder sets	1974	Richard P. Stanley
+ PDF Chat	Enumeration of posets generated by disjoint unions and ordinal sums	1974	Richard P. Stanley
+ PDF Chat	Enumeration of Posets Generated by Disjoint Unions and Ordinal Sums	1974	Richard P. Stanley
+	An extremal problem for finite topologies and distributive lattices	1973	Richard P. Stanley
+ PDF Chat	The conjugate trace and trace of a plane partition	1973	Richard P. Stanley
+	Acyclic orientations of graphs	1973	Richard P. Stanley
+ PDF Chat	Supersolvable lattices	1972	Richard P. Stanley
+	On the foundations of combinatorial theory. VI. The idea of generating function	1972	Peter Doubilet Gian‐Carlo Rota Richard P. Stanley
+	Ordered structures and partitions	1972	Richard P. Stanley
+ PDF Chat	Book Review: Principles of Combinatorics	1971	Richard P. Stanley
+	Theory and Application of Plane Partitions. Part 2	1971	Richard P. Stanley
+	Theory and Application of Plane Partitions: Part 1	1971	Richard P. Stanley
+ PDF Chat	On the number of open sets of finite topologies	1971	Richard P. Stanley
+ PDF Chat	Structure of incidence algebras and their automorphism groups	1970	Richard P. Stanley
+ PDF Chat	Zero square rings	1969	Richard P. Stanley

Common Coauthors

Coauthor	Papers Together
Fabrizio Zanello	23
Tamar Friedmann	6
Christine Bessenrodt	6
Alexander Postnikov	5
Rosena R. X. Du	5
William Y. C. Chen	4
Lili Mu	4
Rodica Simion	4
Sylvie Corteel	4
Yinghui Wang	4
Anders Björner	4
Dennis Stanton	4
Lauren Williams	3
Gian‐Carlo Rota	3
Robin Chapman	3
Tommy Wuxing Cai	3
Curtis Greene	3
Fu Liu	3
Federico Ardila	3
David Savitt	2
George Boros	2
Victor H. Moll	2
John B. Little	2
Eva Y. P. Deng	2
Ery Arias-Castro	2
Sergey Fomin	2
Catherine H. Yan	2
Ellen X. Y. Qu	2
James Propp	2
Michelle L. Wachs	2
Sung Gi Park	2
Xiaomei Chen	2
Matthias Beck	2
Fu Liu	2
Jesús A. De Loera	2
Jim Pitman	2
Sabrina X. M. Pang	2
Teresa Xueshan Li	2
Edward Mosteig	2
Peter Clifford	2
Julián Pfeifle	2
Bruce E. Sagan	2
Jørn B. Olsson	2
John R. Stembridge	2
Dan Cristofaro‐Gardiner	2
Phil Hanlon	2
Philip J. Hanlon	2
Ira M. Gessel	2
Persi Diaconis	2
Mike Develin	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	104
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin	29
+	Ordered structures and partitions	1972	Richard P. Stanley	26
+	Hilbert functions of graded algebras	1978	Richard P. Stanley	21
+	Enumerative Combinatorics	1986	Richard P. Stanley	19
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley	17
+ PDF Chat	On the foundations of combinatorial theory I. Theory of M�bius Functions	1964	Gian Carlo Rota	16
+ PDF Chat	Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property	1980	Richard P. Stanley	16
+	Theory and Application of Plane Partitions: Part 1	1971	Richard P. Stanley	16
+	Advanced Combinatorics	1974	Louis Comtet	15
+	Some Properties of Enumeration in the Theory of Modular Systems	1927	F. S. Macaulay	13
+	Longest Increasing and Decreasing Subsequences	2009	C. Schensted	13
+ PDF Chat	Balanced Cohen-Macaulay complexes	1979	Richard P. Stanley	13
+ PDF Chat	Permutations, matrices, and generalized Young tableaux	1970	Donald Knuth	13
+	On the distribution of the length of the longest increasing subsequence of random permutations	1999	Jinho Baik Percy Deift Kurt Johansson	12
+	Some aspects of groups acting on finite posets	1982	Richard P. Stanley	12
+	Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes	1972	Melvin Hochster	11
+ PDF Chat	Supersolvable lattices	1972	Richard P. Stanley	11
+	The Theory of Partitions	1984	George E. Andrews	11
+	Cohen-Macaulay Complexes	1977	Richard P. Stanley	11
+	A variational problem for random Young tableaux	1977	Bill Logan L. A. Shepp	10
+	The Upper Bound Conjecture and Cohen-Macaulay Rings	1975	Richard P. Stanley	10
+	Decompositions of Rational Convex Polytopes	1980	Richard P. Stanley	10
+ PDF Chat	The Hook Graphs of the Symmetric Group	1954	J. S. Frame G. de B. Robinson Robert Thrall	10
+	Enumerative Combinatorics: Volume 1	2011	Richard P. Stanley	10
+	Posets, Regular CW Complexes and Bruhat Order	1984	Anders Björner	10
+ PDF Chat	On the Number of Reduced Decompositions of Elements of Coxeter Groups	1984	Richard P. Stanley	9
+	On the foundations of combinatorial theory. VI. The idea of generating function	1972	Peter Doubilet Gian‐Carlo Rota Richard P. Stanley	9
+	On The Foundations of Combinatorial Theory: Combinatorial Geometries	1970	Henry Crapo Gian‐Carlo Rota	9
+	Enumeration of plane partitions	1972	Edward A. Bender Donald E. Knuth	9
+	An Introduction to Cohen-Macaulay Partially Ordered Sets	1982	Anders Björner Adriano M. Garsia Richard P. Stanley	9
+	Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>	1989	Richard P. Stanley	9
+	Cohen-Macaulay quotients of polynomial rings	1976	Gerald Allen Reisner	9
+	Symmetric functions and P-recursiveness	1990	Ira M. Gessel	9
+	An extension of Schensted's theorem	1974	Curtis Greene	9
+ PDF Chat	Combinatorics and Commutative Algebra	1983	Richard P. Stanley	9
+ PDF Chat	Longest Increasing and Decreasing Subsequences	1961	C. Schensted	9
+	Theory of group characters	1979	Richard Brauer	8
+ PDF Chat	Finite lattices and Jordan-Hölder sets	1974	Richard P. Stanley	8
+	Theory and Application of Plane Partitions. Part 2	1971	Richard P. Stanley	8
+	An Introduction to Combinatorial Analysis	1958	R. A. Leibler John Riordan	8
+	Combinatorial Enumeration	2024	Robin Pemantle Mark C. Wilson Stephen Melczer	8
+ PDF Chat	None	1994	Sergey Fomin	8
+	Promotion des morphismes d'ensembles ordonnes	1972	M. P. Schützenberger	8
+ PDF Chat	An introduction to hyperplane arrangements	2007	Richard P. Stanley	8
+	Arrangements of Hyperplanes	1992	Peter Orlik Hiroaki Terao	8
+	Lectures on Polytopes	1994	Günter M. Ziegler	8
+ PDF Chat	Shellable and Cohen-Macaulay partially ordered sets	1980	Anders Björner	8
+ PDF Chat	Two poset polytopes	1986	Richard P. Stanley	8
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	8