Edit Profile (opens in new tab) Stanley, Richard Peter Co-Author Distance Author ID: stanley.richard-p Published as: Stanley, Richard P.; Stanley, Richard; Stanley, R. P.; Stanley, R. more...less Homepage: http://www-math.mit.edu/~rstan/ External Links: MGP · Wikidata · ResearchGate · MathOverflow · dblp · GND · IdRef Documents Indexed: 206 Publications since 1969, including 18 Books and 10 Additional arXiv Preprints 21 Contributions as Editor · 6 Further Contributions Biographic References: 6 Publications Co-Authors: 92 Co-Authors with 93 Joint Publications 3,572 Co-Co-Authors all top 5 Co-Authors 131 single-authored 18 Jerison, David S. 18 Yau, Shing-Tung 11 Mrowka, Tomasz 9 Kisin, Mark 9 Mazur, Barry 9 Schmid, Wilfried 9 Yau, Horng-Tzer 7 Seidel, Paul 7 Zanello, Fabrizio 5 Björner, Anders 4 Friedmann, Tamar 4 Greene, Curtis 4 Hanlon, Phil 4 Rota, Gian-Carlo 4 Simion, Rodica E. 3 Ardila, Federico 3 Chen, William Yong-Chuan 3 Du, Rosena R. X. 3 Wang, Yinghui 2 Bessenrodt, Christine 2 Billera, Louis J. 2 Bóna, Miklós 2 Cristofaro-Gardiner, Daniel 2 Doubilet, Peter 2 Fomin, Sergey Vladimirovich 2 Gessel, Ira Martin 2 Li, Teresa Xueshan 2 Liu, Fu 2 Odlyzko, Andrew M. 2 Postnikov, Alexander E. 2 Sagan, Bruce Eli 2 Stembridge, John R. 2 Wachs, Michelle Lynn 1 Amdeberhan, Tewodros 1 Arias-Castro, Ery 1 Artale, Maria 1 Baumert, Leonard D. 1 Beck, Matthias 1 Bernardi, Olivier 1 Beschler, Edwin F. 1 Billey, Sara C. 1 Boffi, Giandomenico 1 Boros, George 1 Buchsbaum Frieden, Susan 1 Buchsbaum, Betty 1 Buchsbaum, David A. 1 Buchsbaum, Helen 1 Buchsbaum, Marion 1 Cai, Tommy Wuxing 1 Calkin, Neil J. 1 Canfield, Rodney E. 1 Carlitz, Leonard 1 Chen, Beifang 1 Chen, Shaoshi 1 Chen, Xiaomei 1 Chung, Fan 1 Clifford, Peter 1 Corteel, Sylvie 1 Crapo, Henry H. 1 De Concini, Corrado 1 De Loera, Jesús A. 1 Deng, Eva Y. P. 1 Develin, Mike 1 Diaconis, Persi Warren 1 Edelman, Paul H. 1 Eisenbud, David 1 Elkies, Noam David 1 Fraenkel, Aviezri Siegmund 1 Frankl, Péter 1 Frieden, Gabriel 1 Furedi, Zoltan 1 Garsia, Adriano M. 1 Grinberg, Darij 1 Hersh, Patricia 1 Hibi, Takayuki 1 Hochster, Mel 1 Huneke, Craig L. 1 Hutchinson, Joan P. 1 Jockusch, William 1 Kahaner, David K. 1 Kim, Hana 1 Knuth, Donald Ervin 1 Lam, Thomas F. 1 Lazebnik, Felix 1 Little, John Brittain 1 Lusztig, George 1 Mansour, Toufik 1 Massey, David Bradley 1 McEliece, Robert James 1 Moll, Victor Hugo 1 Morales, Alejandro Henry 1 Mosteig, Edward 1 Mu, Lili 1 Nijenhuis, Albert 1 Olsson, Jorn Borling 1 Pak, Igor 1 Pang, Sabrina X. M. 1 Park, Sung Gi 1 Petkovšek, Marko 1 Pfeifle, Julian ...and 28 more Co-Authors all top 5 Serials 18 Journal of Combinatorial Theory. Series A 10 Discrete Mathematics 9 European Journal of Combinatorics 7 Advances in Mathematics 7 The Electronic Journal of Combinatorics 6 Annals of Combinatorics 6 Cambridge Studies in Advanced Mathematics 5 Studies in Applied Mathematics 5 Discrete & Computational Geometry 5 Journal of Algebraic Combinatorics 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 4 Notices of the American Mathematical Society 4 Progress in Mathematics 3 Algebra Universalis 3 Journal of Algebra 3 Proceedings of the American Mathematical Society 3 Graphs and Combinatorics 2 American Mathematical Monthly 2 Discrete Applied Mathematics 2 The Mathematical Intelligencer 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series B 2 Journal of Pure and Applied Algebra 2 Order 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Séminaire Lotharingien de Combinatoire 2 The Ramanujan Journal 2 Bulletin of the American Mathematical Society 2 Journal of Combinatorics 2 Undergraduate Texts in Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 The Fibonacci Quarterly 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Combinatorica 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Combinatorics, Probability and Computing 1 Journal of Integer Sequences 1 La Gaceta de la Real Sociedad Matemática Española 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 Mathematical Sciences Research Institute Publications 1 Monographies de l’Enseignement Mathématique 1 ICCM Notices 1 Enumerative Combinatorics and Applications all top 5 Fields 178 Combinatorics (05-XX) 51 Order, lattices, ordered algebraic structures (06-XX) 39 Convex and discrete geometry (52-XX) 30 Group theory and generalizations (20-XX) 25 Number theory (11-XX) 24 General and overarching topics; collections (00-XX) 18 Commutative algebra (13-XX) 15 Algebraic geometry (14-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Algebraic topology (55-XX) 10 History and biography (01-XX) 9 Probability theory and stochastic processes (60-XX) 6 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Geometry (51-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 12,476 times in 8,822 Documents Cited by ▼ Year ▼ Enumerative combinatorics. Volume 2. Zbl 0928.05001 Stanley, Richard P. 1,711 1999 Enumerative combinatorics. Vol. 1. Zbl 0889.05001 Stanley, Richard P. 795 1997 Enumerative combinatorics. Vol. I. Zbl 0608.05001 Stanley, Richard P. 748 1986 Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003 Stanley, Richard P. 692 2012 Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008 Stanley, Richard P. 604 1996 Hilbert functions of graded algebras. Zbl 0384.13012 Stanley, Richard P. 437 1978 Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Zbl 0792.05008 Stanley, Richard P. 323 1989 Two poset polytopes. Zbl 0595.52008 Stanley, Richard P. 219 1986 Weyl groups, the hard Lefschetz theorem, and the Sperner property. Zbl 0502.05004 Stanley, Richard P. 216 1980 Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072 Stanley, Richard P. 211 1989 Ordered structures and partitions. Zbl 0246.05007 Stanley, Richard P. 205 1972 Catalan numbers. Zbl 1317.05010 Stanley, Richard P. 203 2015 The number of faces of a simplicial convex polytope. Zbl 0427.52006 Stanley, Richard P. 202 1980 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093 Billey, Sara C.; Jockusch, William; Stanley, Richard P. 188 1993 Acyclic orientations of graphs. Zbl 0258.05113 Stanley, Richard P. 184 1973 Decompositions of rational convex polytopes. Zbl 0812.52012 Stanley, Richard P. 176 1980 Invariants of finite groups and their applications to combinatorics. Zbl 0497.20002 Stanley, Richard P. 173 1979 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027 Stanley, Richard P. 168 1995 Combinatorics and commutative algebra. Zbl 0537.13009 Stanley, Richard P. 165 1983 On the number of reduced decompositions of elements of Coxeter groups. Zbl 0587.20002 Stanley, Richard P. 161 1984 Supersolvable lattices. Zbl 0256.06002 Stanley, R. P. 160 1972 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002 Stanley, Richard P. 153 2001 Differentiably finite power series. Zbl 0445.05012 Stanley, R. P. 142 1980 An introduction to hyperplane arrangements. Zbl 1136.52009 Stanley, Richard P. 133 2007 The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009 Stanley, Richard P. 125 1975 Linear Diophantine equations and local cohomology. Zbl 0516.10009 Stanley, Richard P. 123 1982 Some aspects of groups acting on finite posets. Zbl 0496.06001 Stanley, Richard P. 117 1982 Theory and application of plane partitions. II. Zbl 0225.05012 Stanley, Richard P. 107 1971 Crossings and nestings of matchings and partitions. Zbl 1108.05012 Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H. 99 2007 Stirling polynomials. Zbl 0378.05006 Gessel, Ira; Stanley, Richard P. 93 1978 Balanced Cohen-Macaulay complexes. Zbl 0411.05012 Stanley, Richard P. 93 1979 Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091 Fomin, Sergey; Stanley, Richard P. 83 1994 Differential posets. Zbl 0658.05006 Stanley, Richard P. 80 1988 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019 Stanley, Richard P.; Pitman, Jim 78 2002 Subdivisions and local \(h\)-vectors. Zbl 0768.05100 Stanley, Richard P. 76 1992 A survey of alternating permutations. Zbl 1231.05288 Stanley, Richard P. 75 2010 Theory and application of plane partitions. I. Zbl 0225.05011 Stanley, Richard P. 75 1971 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111 Stanley, Richard P. 74 2000 Symmetries of plane partitions. Zbl 0602.05007 Stanley, Richard P. 74 1986 A bound on the spectral radius of graphs with \(e\) edges. Zbl 0617.05045 Stanley, Richard P. 74 1987 Binomial posets, Möbius inversion, and permutation enumeration. Zbl 0331.05004 Stanley, Richard P. 73 1976 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097 Stanley, Richard P.; Stembridge, John R. 72 1993 Parking functions and noncrossing partitions. Zbl 0883.06001 Stanley, Richard P. 65 1997 Cohen-Macaulay complexes. Zbl 0376.55007 Stanley, Richard P. 64 1977 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005 Stanley, Richard P. 62 1996 Linear homogeneous Diophantine equations and magic labelings of graphs. Zbl 0269.05109 Stanley, Richard P. 61 1973 Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508 Stanley, Richard P. 59 1998 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004 Postnikov, Alexander; Stanley, Richard P. 59 2000 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003 Stanley, Richard P. 57 1994 Modular elements of geometric lattices. Zbl 0229.05032 Stanley, Richard P. 57 1971 Combinatorial reciprocity theorems. Zbl 0294.05006 Stanley, Richard P. 57 1974 Structure of incidence algebras and their automorphism groups. Zbl 0205.31702 Stanley, R. P. 57 1970 Relative invariants of finite groups generated by pseudoreflections. Zbl 0383.20029 Stanley, Richard P. 52 1977 Promotion and evacuation. Zbl 1169.06002 Stanley, Richard P. 50 2009 f-vectors and h-vectors of simplicial posets. Zbl 0727.06009 Stanley, Richard P. 49 1991 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008 Stanley, Richard P. 49 1993 Generalized h-vectors, intersection cohomology of toric varieties, and related results. Zbl 0652.52007 Stanley, Richard 44 1987 Two combinatorial applications of the Aleksandrov-Fenchel inequalities. Zbl 0484.05012 Stanley, Richard P. 44 1981 On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002 Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard 44 1972 Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092 Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R. 44 1992 On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010 Stanley, Richard P. 43 1991 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013 Stanley, Richard P. 40 1998 Robinson-Schensted algorithms for skew tableaux. Zbl 0732.05061 Sagan, Bruce E.; Stanley, Richard P. 40 1990 A super-class walk on upper-triangular matrices. Zbl 1056.60006 Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard 39 2004 Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002 Stanley, Richard P. 39 2013 Smith normal form in combinatorics. Zbl 1343.05026 Stanley, Richard P. 37 2016 A zonotope associated with graphical degree sequences. Zbl 0737.05057 Stanley, Richard P. 34 1991 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006 Stanley, Richard P. 33 1999 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300 Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 33 2005 Factorization of permutations into n-cycles. Zbl 0467.20005 Stanley, Richard P. 30 1981 Longest alternating subsequences of permutations. Zbl 1247.05016 Stanley, Richard P. 30 2008 The conjugate trace and trace of a plane partition. Zbl 0251.05006 Stanley, Richard P. 30 1973 Exponential structures. Zbl 0381.05004 Stanley, Richard P. 30 1978 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001 Bóna, Miklós 28 2007 Cohen-Macaulay rings and constructible polytopes. Zbl 0304.52005 Stanley, Richard P. 28 1975 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002 Stanley, Richard P. 28 1997 The Fibonacci lattice. Zbl 0328.06007 Stanley, Richard P. 27 1975 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017 Stanley, Richard P.; Zanello, Fabrizio 27 2015 The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010 Björner, A.; Frankl, P.; Stanley, R. 26 1987 Finite lattices and Jordan-Hölder sets. Zbl 0303.06006 Stanley, Richard P. 26 1974 The stable behavior of some characters of SL(n,\({\mathbb{C}})\). Zbl 0573.20042 Stanley, Richard P. 26 1984 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116 Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 25 2012 Eulerian partitions of a unit hypercube. Zbl 0359.05001 Stanley, Richard P. 24 1977 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078 Stanley, Richard P. 24 2001 Increasing and decreasing subsequences and their variants. Zbl 1133.05002 Stanley, Richard P. 23 2007 Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004 Stanley, Richard P. 23 2005 Quotients of Peck posets. Zbl 0564.06002 Stanley, Richard P. 22 1984 Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings. Zbl 0335.05010 Stanley, Richard P. 22 1976 On the number of open sets of finite topologies. Zbl 0214.21001 Stanley, R. P. 22 1971 Chains in the Bruhat order. Zbl 1238.14036 Postnikov, Alexander; Stanley, Richard P. 21 2009 Polygon dissections and standard Young tableaux. Zbl 0859.05075 Stanley, Richard P. 21 1996 Algebraic enumeration. Zbl 0853.05002 Gessel, Ira M.; Stanley, Richard P. 20 1995 An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005 Bjoerner, A.; Garsia, A. M.; Stanley, R. P. 19 1982 Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007 Rota, Gian-Carlo 18 1975 Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017 Stanley, Richard P. 18 2003 A survey of Eulerian posets. Zbl 0816.52004 Stanley, Richard P. 18 1994 Alternating permutations and symmetric functions. Zbl 1118.05002 Stanley, Richard P. 17 2007 Two enumerative results on cycles of permutations. Zbl 1238.05015 Stanley, Richard P. 17 2011 Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234 Stanley, Richard P. 17 2010 Enumeration of posets generated by disjoint unions and ordinal sums. Zbl 0297.05009 Stanley, Richard P. 17 1974 On a generalization of Lie\((k)\): a CataLAnKe theorem. Zbl 1477.17043 Friedmann, Tamar; Hanlon, Phil; Stanley, Richard P.; Wachs, Michelle L. 3 2021 Some linear recurrences motivated by Stern’s diatomic array. Zbl 1445.05012 Stanley, Richard P. 3 2020 A generalization of a 1998 unimodality conjecture of Reiner and Stanton. Zbl 1427.05011 Stanley, Richard P.; Zanello, Fabrizio 2 2020 Irrational triangles with polynomial Ehrhart functions. Zbl 1407.52015 Cristofaro-Gardiner, Dan; Li, Teresa Xueshan; Stanley, Richard P. 3 2019 Algebraic combinatorics. Walks, trees, tableaux, and more. 2nd edition. Zbl 1397.05003 Stanley, Richard P. 7 2018 Action of the symmetric group on the free LAnKe: a CataLAnKe theorem. Zbl 1411.05282 Friedmann, Tamar; Hanlon, Philip; Stanley, Richard P.; Wachs, Michelle L. 4 2018 Current developments in mathematics 2016. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2016. Zbl 1398.14002 1 2018 Some aspects of \((r,k)\)-parking functions. Zbl 1392.05122 Stanley, Richard P.; Wang, Yinghui 1 2018 The Smith normal form distribution of a random integer matrix. Zbl 1372.05006 Wang, Yinghui; Stanley, Richard P. 13 2017 A walk through combinatorics. An introduction to enumeration and graph theory. With a foreword by Richard Stanley. 4th edition. Zbl 1361.05001 Bóna, Miklós 6 2017 The Smith normal form of a specialized Jacobi-Trudi matrix. Zbl 1358.05025 Stanley, Richard P. 3 2017 Selected works of Richard P. Stanley. Edited by Patricia Hersh, Thomas Lam, Pavlo Pylyavskyy and Victor Reiner. Zbl 1373.01030 Stanley, Richard P. 1 2017 Smith normal form in combinatorics. Zbl 1343.05026 Stanley, Richard P. 37 2016 Some asymptotic results on \(q\)-binomial coefficients. Zbl 1347.05011 Stanley, Richard P.; Zanello, Fabrizio 7 2016 A formula for the specialization of skew Schur functions. Zbl 1347.05248 Chen, Xiaomei; Stanley, Richard P. 5 2016 A refined enumeration of hex trees and related polynomials. Zbl 1331.05109 Kim, Hana; Stanley, Richard P. 3 2016 Publications with commentary by the author. Zbl 1364.01043 Stanley, Richard P. 1 2016 Catalan numbers. Zbl 1317.05010 Stanley, Richard P. 203 2015 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017 Stanley, Richard P.; Zanello, Fabrizio 27 2015 Valid orderings of real hyperplane arrangements. Zbl 1322.52018 Stanley, Richard P. 6 2015 Smith normal form of a multivariate matrix associated with partitions. Zbl 1307.05009 Bessenrodt, Christine; Stanley, Richard P. 5 2015 Unimodality of partitions with distinct parts inside Ferrers shapes. Zbl 1315.05016 Stanley, Richard P.; Zanello, Fabrizio 5 2015 Supersolvability and freeness for \(\psi\)-graphical arrangements. Zbl 1314.05076 Mu, Lili; Stanley, Richard P. 5 2015 The Smith normal form of a matrix associated with Young’s lattice. Zbl 1320.05138 Cai, Tommy Wuxing; Stanley, Richard P. 2 2015 Separation probabilities for products of permutations. Zbl 1290.05003 Bernardi, Olivier; Du, Rosena R. X.; Morales, Alejandro H.; Stanley, Richard P. 7 2014 The lecture hall parallelepiped. Zbl 1304.52018 Liu, Fu; Stanley, Richard P. 6 2014 How the upper bound conjecture was proved. Zbl 1408.05144 Stanley, Richard P. 4 2014 Counting conjugacy classes of elements of finite order in Lie groups. Zbl 1284.05335 Friedmann, Tamar; Stanley, Richard P. 2 2014 Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002 Stanley, Richard P. 39 2013 The string landscape: on formulas for counting vacua. Zbl 1262.81135 Friedmann, Tamar; Stanley, Richard P. 2 2013 Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003 Stanley, Richard P. 692 2012 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116 Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 25 2012 Orientations, lattice polytopes, and group arrangements. II: Modular and integral flow polynomials of graphs. Zbl 1256.05111 Chen, Beifang; Stanley, Richard P. 9 2012 An equivalence relation on the symmetric group and multiplicity-free flag \(h\)-vectors. Zbl 1291.05012 Stanley, Richard P. 9 2012 On the rank function of a differential poset. Zbl 1253.06003 Stanley, Richard P.; Zanello, Fabrizio 2 2012 Two enumerative results on cycles of permutations. Zbl 1238.05015 Stanley, Richard P. 17 2011 Two remarks on skew tableaux. Zbl 1238.05277 Stanley, Richard P. 2 2011 A survey of alternating permutations. Zbl 1231.05288 Stanley, Richard P. 75 2010 Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234 Stanley, Richard P. 17 2010 Tilings. Zbl 1242.52022 Ardila, Federico; Stanley, Richard P. 14 2010 A combinatorial miscellany. Zbl 1228.05059 Björner, Anders; Stanley, Richard P. 1 2010 Promotion and evacuation. Zbl 1169.06002 Stanley, Richard P. 50 2009 Chains in the Bruhat order. Zbl 1238.14036 Postnikov, Alexander; Stanley, Richard P. 21 2009 Pairs of noncrossing free Dyck paths and noncrossing partitions. Zbl 1189.05023 Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.; Stanley, Richard P. 6 2009 Longest alternating subsequences of permutations. Zbl 1247.05016 Stanley, Richard P. 30 2008 Current developments in mathematics, 2006. Zbl 1149.00018 2 2008 An introduction to hyperplane arrangements. Zbl 1136.52009 Stanley, Richard P. 133 2007 Crossings and nestings of matchings and partitions. Zbl 1108.05012 Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H. 99 2007 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001 Bóna, Miklós 28 2007 Increasing and decreasing subsequences and their variants. Zbl 1133.05002 Stanley, Richard P. 23 2007 Alternating permutations and symmetric functions. Zbl 1118.05002 Stanley, Richard P. 17 2007 Acyclic orientations of graphs. (Reprint). Zbl 1094.05031 Stanley, Richard P. 7 2006 Ordering events in Minkowski space. Zbl 1109.05020 Stanley, Richard P. 1 2006 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300 Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 33 2005 Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004 Stanley, Richard P. 23 2005 Combinatorics and commutative algebra. 2nd ed. Zbl 1157.13302 Stanley, Richard P. 15 2005 The descent set and connectivity set of a permutation. Zbl 1101.05002 Stanley, Richard P. 14 2005 Properties of some character tables related to the symmetric groups. Zbl 1062.05144 Bessenrodt, Christine; Olsson, Jørn B.; Stanley, Richard P. 4 2005 A map on the space of rational functions. Zbl 1096.33003 Boros, G.; Little, J.; Moll, V.; Mosteig, E.; Stanley, R. 3 2005 A super-class walk on upper-triangular matrices. Zbl 1056.60006 Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard 39 2004 Recent developments in algebraic combinatorics. Zbl 1061.05100 Stanley, Richard P. 2 2004 Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017 Stanley, Richard P. 18 2003 On the enumeration of skew Young tableaux. Zbl 1027.05109 Stanley, R. P. 11 2003 Recent progress in algebraic combinatorics. Zbl 1119.14002 Stanley, Richard P. 8 2003 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019 Stanley, Richard P.; Pitman, Jim 78 2002 The rank and minimal border strip decompositions of a skew partition. Zbl 1018.05105 Stanley, Richard P. 7 2002 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002 Stanley, Richard P. 153 2001 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078 Stanley, Richard P. 24 2001 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111 Stanley, Richard P. 74 2000 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004 Postnikov, Alexander; Stanley, Richard P. 59 2000 A note on symmetric powers of the standard representation of \(S_n\). Zbl 0959.05119 Savitt, David; Stanley, Richard P. 1 2000 Enumerative combinatorics. Volume 2. Zbl 0928.05001 Stanley, Richard P. 1,711 1999 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006 Stanley, Richard P. 33 1999 Flag-symmetry of the poset of shuffles and a local action of the symmetric group. Zbl 0931.06004 Simion, Rodica; Stanley, Richard P. 11 1999 Domino tilings with barriers. Zbl 0948.05020 Propp, James; Stanley, Richard 4 1999 New perspectives in algebraic combinatorics. Zbl 0927.00011 3 1999 Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508 Stanley, Richard P. 59 1998 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013 Stanley, Richard P. 40 1998 Spanning trees and a conjecture of Kontsevich. Zbl 0927.05087 Stanley, Richard P. 14 1998 A \(q\)-deformation of a trivial symmetric group action. Zbl 0921.20009 Hanlon, Phil; Stanley, Richard P. 10 1998 Mathematical essays in honor of Gian-Carlo Rota’s 65th birthday. Zbl 0890.00032 1 1998 Enumerative combinatorics. Vol. 1. Zbl 0889.05001 Stanley, Richard P. 795 1997 Parking functions and noncrossing partitions. Zbl 0883.06001 Stanley, Richard P. 65 1997 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002 Stanley, Richard P. 28 1997 Lê numbers of arrangements and matroid identities. Zbl 0884.05029 Massey, David B.; Simion, Rodica; Stanley, Richard P.; Vertigan, Dirk; Welsh, Dominic J. A.; Ziegler, Günter M. 4 1997 Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008 Stanley, Richard P. 604 1996 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005 Stanley, Richard P. 62 1996 Polygon dissections and standard Young tableaux. Zbl 0859.05075 Stanley, Richard P. 21 1996 Flag-symmetric and locally rank-symmetric partially ordered sets. Zbl 0857.05091 Stanley, Richard P. 8 1996 A matrix for counting paths in acyclic digraphs. Zbl 0860.05054 Stanley, Richard P. 6 1996 Formal power series and algebraic combinatorics. Séries formelles et combinatoire algébrique 1994. Invited lectures presented at the 6th international DIMACS workshop, May 23-27, 1994. Zbl 0832.00032 1 1996 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027 Stanley, Richard P. 168 1995 Algebraic enumeration. Zbl 0853.05002 Gessel, Ira M.; Stanley, Richard P. 20 1995 Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091 Fomin, Sergey; Stanley, Richard P. 83 1994 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003 Stanley, Richard P. 57 1994 A survey of Eulerian posets. Zbl 0816.52004 Stanley, Richard P. 18 1994 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093 Billey, Sara C.; Jockusch, William; Stanley, Richard P. 188 1993 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097 Stanley, Richard P.; Stembridge, John R. 72 1993 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008 Stanley, Richard P. 49 1993 A combinatorial decomposition of acyclic simplicial complexes. Zbl 0782.55004 Stanley, Richard P. 10 1993 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,445 Authors 89 Stanley, Richard Peter 74 Hibi, Takayuki 61 Mansour, Toufik 57 Chen, William Yong-Chuan 54 Sagan, Bruce Eli 50 Ehrenborg, Richard 47 Pak, Igor 47 Reiner, Victor 41 Brenti, Francesco 41 Morales, Alejandro Henry 38 Panova, Greta 37 Herzog, Jürgen 35 Gessel, Ira Martin 35 Krattenthaler, Christian Friedrich 34 Zeng, Jiang 33 Nevo, Eran 32 Elizalde, Sergi 32 Murai, Satoshi 32 Yeh, Yeong-Nan 31 Nagel, Uwe 30 Lin, Zhicong 30 Novik, Isabella 30 Readdy, Margaret A. 29 Terai, Naoki 29 Welker, Volkmar 28 Beck, Matthias 28 Diaconis, Persi Warren 28 Han, Guo-Niu 28 Kim, Jang Soo 28 Ma, Shi-Mei 28 Villarreal, Rafael Heraclio 28 Zhu, Baoxuan 27 Björner, Anders 27 Goulden, Ian P. 27 Higashitani, Akihiro 27 Migliore, Juan Carlos 27 Mirò-Roig, Rosa Maria 27 Zanello, Fabrizio 26 Athanasiadis, Christos A. 26 Bergeron, Nantel 26 Wachs, Michelle Lynn 25 Konvalinka, Matjaž 25 Marberg, Eric 25 Mészáros, Karola 25 Roichman, Yuval 25 Tenner, Bridget Eileen 25 Van Willigenburg, Stephanie J. 25 Yan, Catherine Huafei 24 Eu, Sen-Peng 24 Hetyei, Gábor 24 Sturmfels, Bernd 24 Tsuchiya, Akiyoshi 23 Gao, Yibo 23 Jackson, David M. 23 Yanagawa, Kohji 22 Hopkins, Samuel Francis 22 Rhoades, Brendon 22 Seyed Fakhari, Seyed Amin 22 Yan, Sherry H. F. 21 Ciucu, Mihai 21 Juhnke-Kubitzke, Martina 21 Stembridge, John R. 21 Tewari, Vasu V. 20 Adin, Ron M. 20 Baril, Jean-Luc 20 Billey, Sara C. 20 Fulman, Jason E. 20 Gaetz, Christian 20 Shin, Yong Su 20 Yassemi, Siamak 19 Bousquet-Mélou, Mireille 19 Féray, Valentin 19 Fomin, Sergey Vladimirovich 19 Pawlowski, Brendan Alexander 19 Remmel, Jeffrey Brian 18 Andrews, George Eyre 18 Billera, Louis J. 18 Geramita, Anthony Vito 18 Mühle, Henri 18 Ohsugi, Hidefumi 18 Reidys, Christian Michael 18 Shareshian, John 18 Wang, Yi 17 Alexandersson, Per 17 Assaf, Sami H. 17 Bóna, Miklós 17 Braun, Benjamin 17 Brown, Jason Ira 17 Defant, Colin 17 Fischer, Ilse 17 Hamaker, Zachary 17 Lewis, Joel Brewster 17 Martin, Jeremy L. 17 Nadeau, Philippe 17 Pournaki, Mohammad Reza 17 Sanyal, Raman 17 Shattuck, Mark A. 17 Yang, Shengliang 17 Yong, Alexander 17 Zeilberger, Doron ...and 7,345 more Authors all top 5 Cited in 574 Serials 630 Journal of Combinatorial Theory. Series A 536 Discrete Mathematics 402 Journal of Algebra 382 Advances in Applied Mathematics 358 European Journal of Combinatorics 331 Advances in Mathematics 329 The Electronic Journal of Combinatorics 312 Journal of Algebraic Combinatorics 216 Transactions of the American Mathematical Society 174 Séminaire Lotharingien de Combinatoire 171 Annals of Combinatorics 170 Proceedings of the American Mathematical Society 164 Journal of Pure and Applied Algebra 163 Linear Algebra and its Applications 157 Communications in Algebra 128 Discrete & Computational Geometry 109 Algebraic Combinatorics 106 Discrete Applied Mathematics 81 Theoretical Computer Science 72 Order 70 Graphs and Combinatorics 64 The Ramanujan Journal 63 SIAM Journal on Discrete Mathematics 59 Journal of Symbolic Computation 57 Mathematische Zeitschrift 55 Journal of Integer Sequences 54 Journal of Number Theory 52 Communications in Mathematical Physics 52 Israel Journal of Mathematics 49 Journal of Combinatorial Theory. Series B 47 Journal of Mathematical Sciences (New York) 45 Journal of Mathematical Physics 45 Journal of High Energy Physics 39 Enumerative Combinatorics and Applications 37 Duke Mathematical Journal 37 The Australasian Journal of Combinatorics 37 Selecta Mathematica. New Series 35 Journal of Commutative Algebra 32 Inventiones Mathematicae 32 Combinatorial Theory 31 Linear and Multilinear Algebra 31 Rocky Mountain Journal of Mathematics 30 Journal of Mathematical Analysis and Applications 30 Bulletin of the American Mathematical Society. New Series 30 Journal of Algebra and its Applications 29 Manuscripta Mathematica 29 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 28 Mathematische Annalen 27 The Annals of Probability 27 Algebras and Representation Theory 26 Annales de l’Institut Fourier 25 Archiv der Mathematik 25 Combinatorica 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Collectanea Mathematica 24 Journal of Statistical Planning and Inference 23 Journal of Statistical Physics 23 Letters in Mathematical Physics 23 Studies in Applied Mathematics 22 Nagoya Mathematical Journal 22 Experimental Mathematics 21 Applied Mathematics and Computation 20 Mathematika 20 Random Structures & Algorithms 20 Journal of Physics A: Mathematical and Theoretical 19 Journal of the American Mathematical Society 19 Designs, Codes and Cryptography 19 Combinatorics, Probability and Computing 18 Mathematical Proceedings of the Cambridge Philosophical Society 18 Mathematics of Computation 18 International Journal of Algebra and Computation 18 Finite Fields and their Applications 18 Integers 17 American Mathematical Monthly 17 Nuclear Physics. B 17 Algebra Universalis 17 Journal of the London Mathematical Society. Second Series 17 Probability Theory and Related Fields 17 Transformation Groups 16 Memoirs of the American Mathematical Society 16 Tôhoku Mathematical Journal. Second Series 15 Compositio Mathematica 14 Journal für die Reine und Angewandte Mathematik 13 Mathematical Notes 13 The Mathematical Intelligencer 13 Bulletin of the London Mathematical Society 13 Functional Analysis and its Applications 13 Monatshefte für Mathematik 13 Semigroup Forum 13 The Annals of Applied Probability 13 Turkish Journal of Mathematics 13 Algebraic & Geometric Topology 13 Random Matrices: Theory and Applications 12 Journal of Functional Analysis 12 Applicable Algebra in Engineering, Communication and Computing 12 Journal of Algebraic Geometry 12 Annales Henri Poincaré 12 Ars Mathematica Contemporanea 12 Research in the Mathematical Sciences 11 Journal of Geometry and Physics ...and 474 more Serials all top 5 Cited in 61 Fields 5,519 Combinatorics (05-XX) 1,335 Commutative algebra (13-XX) 1,231 Group theory and generalizations (20-XX) 1,083 Convex and discrete geometry (52-XX) 1,029 Algebraic geometry (14-XX) 1,001 Number theory (11-XX) 979 Order, lattices, ordered algebraic structures (06-XX) 535 Probability theory and stochastic processes (60-XX) 468 Associative rings and algebras (16-XX) 462 Linear and multilinear algebra; matrix theory (15-XX) 456 Computer science (68-XX) 306 Special functions (33-XX) 280 Nonassociative rings and algebras (17-XX) 245 Manifolds and cell complexes (57-XX) 241 Quantum theory (81-XX) 218 Algebraic topology (55-XX) 166 Statistical mechanics, structure of matter (82-XX) 129 Operations research, mathematical programming (90-XX) 121 Statistics (62-XX) 116 Category theory; homological algebra (18-XX) 112 Several complex variables and analytic spaces (32-XX) 107 Information and communication theory, circuits (94-XX) 99 Geometry (51-XX) 98 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 96 Numerical analysis (65-XX) 93 Topological groups, Lie groups (22-XX) 89 Dynamical systems and ergodic theory (37-XX) 82 Biology and other natural sciences (92-XX) 73 Real functions (26-XX) 73 Functions of a complex variable (30-XX) 69 Functional analysis (46-XX) 66 Operator theory (47-XX) 61 Field theory and polynomials (12-XX) 57 Differential geometry (53-XX) 55 Mathematical logic and foundations (03-XX) 47 Ordinary differential equations (34-XX) 40 Approximations and expansions (41-XX) 38 Difference and functional equations (39-XX) 36 Abstract harmonic analysis (43-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 \(K\)-theory (19-XX) 30 Partial differential equations (35-XX) 29 Integral transforms, operational calculus (44-XX) 29 General topology (54-XX) 27 History and biography (01-XX) 21 Relativity and gravitational theory (83-XX) 19 General and overarching topics; collections (00-XX) 18 Measure and integration (28-XX) 15 Sequences, series, summability (40-XX) 12 Systems theory; control (93-XX) 9 General algebraic systems (08-XX) 6 Potential theory (31-XX) 5 Mathematics education (97-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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