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: 196 Publications since 1969, including 18 Books 21 Contributions as Editor · 6 Further Contributions Biographic References: 6 Publications Co-Authors: 89 Co-Authors with 88 Joint Publications 3,267 Co-Co-Authors all top 5 Co-Authors 126 single-authored 18 Jerison, David S. 18 Yau, Shing-Tung 11 Mrowka, Tomasz S. 9 Kisin, Mark 9 Mazur, Barry 9 Schmid, Wilfried 9 Yau, Horng-Tzer 7 Seidel, Paul 7 Zanello, Fabrizio 4 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 Doubilet, Peter 2 Fomin, Sergey Vladimirovich 2 Gessel, Ira Martin 2 Liu, Fu 2 Odlyzko, Andrew M. 2 Postnikov, Alexander 2 Sagan, Bruce Eli 2 Stembridge, John R. 2 Wachs, Michelle Lynn 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 Cristofaro-Gardiner, Dan 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 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 Li, Teresa Xueshan 1 Little, John Brittain 1 Lusztig, George 1 Mansour, Toufik 1 Massey, David Bradley 1 Moll, Victor Hugo 1 Morales, Alejandro Henry 1 Mosteig, Edward 1 Mu, Lili 1 Nijenhuis, Albert 1 Olsson, Jorn Borling 1 1 Pak, Igor 1 Pang, Sabrina X. M. 1 Park, Sung Gi 1 Petkovšek, Marko 1 Pfeifle, Julian 1 Pitman, Jim William 1 Propp, James Gary ...and 25 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 171 Combinatorics (05-XX) 49 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) 8 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 183 Publications have been cited 11,611 times in 8,242 Documents Cited by ▼ Year ▼ Enumerative combinatorics. Volume 2. Zbl 0928.05001Stanley, Richard P. 1,510 1999 Enumerative combinatorics. Vol. 1. Zbl 0889.05001Stanley, Richard P. 744 1997 Enumerative combinatorics. Vol. I. Zbl 0608.05001Stanley, Richard P. 729 1986 Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003Stanley, Richard P. 588 2012 Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008Stanley, Richard P. 577 1996 Hilbert functions of graded algebras. Zbl 0384.13012Stanley, Richard P. 422 1978 Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Zbl 0792.05008Stanley, Richard P. 295 1989 Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072Stanley, Richard P. 203 1989 Weyl groups, the hard Lefschetz theorem, and the Sperner property. Zbl 0502.05004Stanley, Richard P. 203 1980 Two poset polytopes. Zbl 0595.52008Stanley, Richard P. 200 1986 The number of faces of a simplicial convex polytope. Zbl 0427.52006Stanley, Richard P. 197 1980 Ordered structures and partitions. Zbl 0246.05007Stanley, Richard P. 190 1972 Acyclic orientations of graphs. Zbl 0258.05113Stanley, Richard P. 178 1973 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093Billey, Sara C.; Jockusch, William; Stanley, Richard P. 177 1993 Decompositions of rational convex polytopes. Zbl 0812.52012Stanley, Richard P. 169 1980 Invariants of finite groups and their applications to combinatorics. Zbl 0497.20002Stanley, Richard P. 167 1979 Combinatorics and commutative algebra. Zbl 0537.13009Stanley, Richard P. 165 1983 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027Stanley, Richard P. 158 1995 On the number of reduced decompositions of elements of Coxeter groups. Zbl 0587.20002Stanley, Richard P. 158 1984 Supersolvable lattices. Zbl 0256.06002Stanley, R. P. 151 1972 Catalan numbers. Zbl 1317.05010Stanley, Richard P. 150 2015 Differentiably finite power series. Zbl 0445.05012Stanley, R. P. 135 1980 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002Stanley, Richard P. 134 2001 Linear Diophantine equations and local cohomology. Zbl 0516.10009Stanley, Richard P. 123 1982 An introduction to hyperplane arrangements. Zbl 1136.52009Stanley, Richard P. 121 2007 The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009Stanley, Richard P. 120 1975 Some aspects of groups acting on finite posets. Zbl 0496.06001Stanley, Richard P. 113 1982 Theory and application of plane partitions. II. Zbl 0225.05012Stanley, Richard P. 104 1971 Crossings and nestings of matchings and partitions. Zbl 1108.05012Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H. 96 2007 Balanced Cohen-Macaulay complexes. Zbl 0411.05012Stanley, Richard P. 91 1979 Stirling polynomials. Zbl 0378.05006Gessel, Ira; Stanley, Richard P. 89 1978 Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091Fomin, Sergey; Stanley, Richard P. 83 1994 Differential posets. Zbl 0658.05006Stanley, Richard P. 79 1988 Subdivisions and local \(h\)-vectors. Zbl 0768.05100Stanley, Richard P. 74 1992 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 74 2002 Binomial posets, Möbius inversion, and permutation enumeration. Zbl 0331.05004Stanley, Richard P. 73 1976 Theory and application of plane partitions. I. Zbl 0225.05011Stanley, Richard P. 73 1971 A survey of alternating permutations. Zbl 1231.05288Stanley, Richard P. 70 2010 Symmetries of plane partitions. Zbl 0602.05007Stanley, Richard P. 70 1986 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097Stanley, Richard P.; Stembridge, John R. 67 1993 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111Stanley, Richard P. 67 2000 A bound on the spectral radius of graphs with \(e\) edges. Zbl 0617.05045Stanley, Richard P. 67 1987 Parking functions and noncrossing partitions. Zbl 0883.06001Stanley, Richard P. 61 1997 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005Stanley, Richard P. 60 1996 Linear homogeneous Diophantine equations and magic labelings of graphs. Zbl 0269.05109Stanley, Richard P. 60 1973 Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508Stanley, Richard P. 58 1998 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004Postnikov, Alexander; Stanley, Richard P. 57 2000 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003Stanley, Richard P. 56 1994 Modular elements of geometric lattices. Zbl 0229.05032Stanley, Richard P. 55 1971 Combinatorial reciprocity theorems. Zbl 0294.05006Stanley, Richard P. 54 1974 Structure of incidence algebras and their automorphism groups. Zbl 0205.31702Stanley, R. P. 54 1970 Cohen-Macaulay complexes. Zbl 0376.55007Stanley, Richard P. 52 1977 Relative invariants of finite groups generated by pseudoreflections. Zbl 0383.20029Stanley, Richard P. 51 1977 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008Stanley, Richard P. 49 1993 f-vectors and h-vectors of simplicial posets. Zbl 0727.06009Stanley, Richard P. 46 1991 Promotion and evacuation. Zbl 1169.06002Stanley, Richard P. 43 2009 On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010Stanley, Richard P. 43 1991 Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R. 41 1992 Two combinatorial applications of the Aleksandrov-Fenchel inequalities. Zbl 0484.05012Stanley, Richard P. 40 1981 On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard 39 1972 A super-class walk on upper-triangular matrices. Zbl 1056.60006Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard 38 2004 Generalized h-vectors, intersection cohomology of toric varieties, and related results. Zbl 0652.52007Stanley, Richard 36 1987 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013Stanley, Richard P. 35 1998 Robinson-Schensted algorithms for skew tableaux. Zbl 0732.05061Sagan, Bruce E.; Stanley, Richard P. 35 1990 Smith normal form in combinatorics. Zbl 1343.05026Stanley, Richard P. 34 2016 A zonotope associated with graphical degree sequences. Zbl 0737.05057Stanley, Richard P. 33 1991 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 33 2005 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006Stanley, Richard P. 32 1999 Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002Stanley, Richard P. 32 2013 Exponential structures. Zbl 0381.05004Stanley, Richard P. 30 1978 Longest alternating subsequences of permutations. Zbl 1247.05016Stanley, Richard P. 29 2008 Factorization of permutations into n-cycles. Zbl 0467.20005Stanley, Richard P. 29 1981 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017Stanley, Richard P.; Zanello, Fabrizio 27 2015 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002Stanley, Richard P. 27 1997 Cohen-Macaulay rings and constructible polytopes. Zbl 0304.52005Stanley, Richard P. 27 1975 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001Bóna, Miklós 26 2007 The stable behavior of some characters of SL(n,\({\mathbb{C}})\). Zbl 0573.20042Stanley, Richard P. 26 1984 The Fibonacci lattice. Zbl 0328.06007Stanley, Richard P. 26 1975 The conjugate trace and trace of a plane partition. Zbl 0251.05006Stanley, Richard P. 26 1973 Finite lattices and Jordan-Hölder sets. Zbl 0303.06006Stanley, Richard P. 25 1974 The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010Björner, A.; Frankl, P.; Stanley, R. 25 1987 Increasing and decreasing subsequences and their variants. Zbl 1133.05002Stanley, Richard P. 23 2007 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 23 2012 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078Stanley, Richard P. 23 2001 Quotients of Peck posets. Zbl 0564.06002Stanley, Richard P. 22 1984 Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004Stanley, Richard P. 22 2005 Eulerian partitions of a unit hypercube. Zbl 0359.05001Stanley, Richard P. 22 1977 On the number of open sets of finite topologies. Zbl 0214.21001Stanley, R. P. 22 1971 Chains in the Bruhat order. Zbl 1238.14036Postnikov, Alexander; Stanley, Richard P. 21 2009 Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings. Zbl 0335.05010Stanley, Richard P. 21 1976 Polygon dissections and standard Young tableaux. Zbl 0859.05075Stanley, Richard P. 20 1996 A survey of Eulerian posets. Zbl 0816.52004Stanley, Richard P. 17 1994 Algebraic enumeration. Zbl 0853.05002Gessel, Ira M.; Stanley, Richard P. 17 1995 Enumeration of posets generated by disjoint unions and ordinal sums. Zbl 0297.05009Stanley, Richard P. 17 1974 Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234Stanley, Richard P. 16 2010 Two enumerative results on cycles of permutations. Zbl 1238.05015Stanley, Richard P. 16 2011 On the number of faces of centrally-symmetric simplicial polytopes. Zbl 0611.52002Stanley, Richard P. 16 1987 Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017Stanley, Richard P. 16 2003 Alternating permutations and symmetric functions. Zbl 1118.05002Stanley, Richard P. 15 2007 Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007Rota, Gian-Carlo 15 1975 On a generalization of Lie\((k)\): a CataLAnKe theorem. Zbl 1477.17043Friedmann, Tamar; Hanlon, Phil; Stanley, Richard P.; Wachs, Michelle L. 3 2021 Some linear recurrences motivated by Stern’s diatomic array. Zbl 1445.05012Stanley, Richard P. 3 2020 A generalization of a 1998 unimodality conjecture of Reiner and Stanton. Zbl 1427.05011Stanley, Richard P.; Zanello, Fabrizio 1 2020 Irrational triangles with polynomial Ehrhart functions. Zbl 1407.52015Cristofaro-Gardiner, Dan; Li, Teresa Xueshan; Stanley, Richard P. 3 2019 Algebraic combinatorics. Walks, trees, tableaux, and more. 2nd edition. Zbl 1397.05003Stanley, Richard P. 5 2018 Action of the symmetric group on the free LAnKe: a CataLAnKe theorem. Zbl 1411.05282Friedmann, Tamar; Hanlon, Philip; Stanley, Richard P.; Wachs, Michelle L. 4 2018 The Smith normal form distribution of a random integer matrix. Zbl 1372.05006Wang, Yinghui; Stanley, Richard P. 12 2017 A walk through combinatorics. An introduction to enumeration and graph theory. With a foreword by Richard Stanley. 4th edition. Zbl 1361.05001Bóna, Miklós 4 2017 The Smith normal form of a specialized Jacobi-Trudi matrix. Zbl 1358.05025Stanley, Richard P. 3 2017 Smith normal form in combinatorics. Zbl 1343.05026Stanley, Richard P. 34 2016 Some asymptotic results on \(q\)-binomial coefficients. Zbl 1347.05011Stanley, Richard P.; Zanello, Fabrizio 7 2016 A formula for the specialization of skew Schur functions. Zbl 1347.05248Chen, Xiaomei; Stanley, Richard P. 5 2016 A refined enumeration of hex trees and related polynomials. Zbl 1331.05109Kim, Hana; Stanley, Richard P. 3 2016 Publications with commentary by the author. Zbl 1364.01043Stanley, Richard P. 1 2016 Catalan numbers. Zbl 1317.05010Stanley, Richard P. 150 2015 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017Stanley, Richard P.; Zanello, Fabrizio 27 2015 Smith normal form of a multivariate matrix associated with partitions. Zbl 1307.05009Bessenrodt, Christine; Stanley, Richard P. 5 2015 Unimodality of partitions with distinct parts inside Ferrers shapes. Zbl 1315.05016Stanley, Richard P.; Zanello, Fabrizio 5 2015 Valid orderings of real hyperplane arrangements. Zbl 1322.52018Stanley, Richard P. 5 2015 Supersolvability and freeness for \(\psi\)-graphical arrangements. Zbl 1314.05076Mu, Lili; Stanley, Richard P. 5 2015 The Smith normal form of a matrix associated with Young’s lattice. Zbl 1320.05138Cai, Tommy Wuxing; Stanley, Richard P. 2 2015 The lecture hall parallelepiped. Zbl 1304.52018Liu, Fu; Stanley, Richard P. 6 2014 Separation probabilities for products of permutations. Zbl 1290.05003Bernardi, Olivier; Du, Rosena R. X.; Morales, Alejandro H.; Stanley, Richard P. 6 2014 How the upper bound conjecture was proved. Zbl 1408.05144Stanley, Richard P. 4 2014 Counting conjugacy classes of elements of finite order in Lie groups. Zbl 1284.05335Friedmann, Tamar; Stanley, Richard P. 1 2014 Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002Stanley, Richard P. 32 2013 The string landscape: on formulas for counting vacua. Zbl 1262.81135Friedmann, Tamar; Stanley, Richard P. 2 2013 Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003Stanley, Richard P. 588 2012 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 23 2012 Orientations, lattice polytopes, and group arrangements. II: Modular and integral flow polynomials of graphs. Zbl 1256.05111Chen, Beifang; Stanley, Richard P. 9 2012 An equivalence relation on the symmetric group and multiplicity-free flag \(h\)-vectors. Zbl 1291.05012Stanley, Richard P. 8 2012 On the rank function of a differential poset. Zbl 1253.06003Stanley, Richard P.; Zanello, Fabrizio 2 2012 Two enumerative results on cycles of permutations. Zbl 1238.05015Stanley, Richard P. 16 2011 Two remarks on skew tableaux. Zbl 1238.05277Stanley, Richard P. 2 2011 A survey of alternating permutations. Zbl 1231.05288Stanley, Richard P. 70 2010 Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234Stanley, Richard P. 16 2010 Tilings. Zbl 1242.52022Ardila, Federico; Stanley, Richard P. 12 2010 A combinatorial miscellany. Zbl 1228.05059Björner, Anders; Stanley, Richard P. 1 2010 Promotion and evacuation. Zbl 1169.06002Stanley, Richard P. 43 2009 Chains in the Bruhat order. Zbl 1238.14036Postnikov, Alexander; Stanley, Richard P. 21 2009 Pairs of noncrossing free Dyck paths and noncrossing partitions. Zbl 1189.05023Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.; Stanley, Richard P. 6 2009 Longest alternating subsequences of permutations. Zbl 1247.05016Stanley, Richard P. 29 2008 Current developments in mathematics, 2006. Zbl 1149.00018 1 2008 An introduction to hyperplane arrangements. Zbl 1136.52009Stanley, Richard P. 121 2007 Crossings and nestings of matchings and partitions. Zbl 1108.05012Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H. 96 2007 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001Bóna, Miklós 26 2007 Increasing and decreasing subsequences and their variants. Zbl 1133.05002Stanley, Richard P. 23 2007 Alternating permutations and symmetric functions. Zbl 1118.05002Stanley, Richard P. 15 2007 Acyclic orientations of graphs. (Reprint). Zbl 1094.05031Stanley, Richard P. 6 2006 Ordering events in Minkowski space. Zbl 1109.05020Stanley, Richard P. 1 2006 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 33 2005 Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004Stanley, Richard P. 22 2005 The descent set and connectivity set of a permutation. Zbl 1101.05002Stanley, Richard P. 14 2005 Combinatorics and commutative algebra. 2nd ed. Zbl 1157.13302Stanley, Richard P. 13 2005 Properties of some character tables related to the symmetric groups. Zbl 1062.05144Bessenrodt, Christine; Olsson, Jørn B.; Stanley, Richard P. 4 2005 A map on the space of rational functions. Zbl 1096.33003Boros, G.; Little, J.; Moll, V.; Mosteig, E.; Stanley, R. 2 2005 A super-class walk on upper-triangular matrices. Zbl 1056.60006Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard 38 2004 Recent developments in algebraic combinatorics. Zbl 1061.05100Stanley, Richard P. 2 2004 Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017Stanley, Richard P. 16 2003 On the enumeration of skew Young tableaux. Zbl 1027.05109Stanley, R. P. 11 2003 Recent progress in algebraic combinatorics. Zbl 1119.14002Stanley, Richard P. 8 2003 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 74 2002 The rank and minimal border strip decompositions of a skew partition. Zbl 1018.05105Stanley, Richard P. 7 2002 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002Stanley, Richard P. 134 2001 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078Stanley, Richard P. 23 2001 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111Stanley, Richard P. 67 2000 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004Postnikov, Alexander; Stanley, Richard P. 57 2000 A note on symmetric powers of the standard representation of \(S_n\). Zbl 0959.05119Savitt, David; Stanley, Richard P. 1 2000 Enumerative combinatorics. Volume 2. Zbl 0928.05001Stanley, Richard P. 1,510 1999 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006Stanley, Richard P. 32 1999 Flag-symmetry of the poset of shuffles and a local action of the symmetric group. Zbl 0931.06004Simion, Rodica; Stanley, Richard P. 10 1999 Domino tilings with barriers. Zbl 0948.05020Propp, James; Stanley, Richard 3 1999 New perspectives in algebraic combinatorics. Zbl 0927.00011 2 1999 Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508Stanley, Richard P. 58 1998 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013Stanley, Richard P. 35 1998 Spanning trees and a conjecture of Kontsevich. Zbl 0927.05087Stanley, Richard P. 14 1998 A \(q\)-deformation of a trivial symmetric group action. Zbl 0921.20009Hanlon, 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 0889.05001Stanley, Richard P. 744 1997 Parking functions and noncrossing partitions. Zbl 0883.06001Stanley, Richard P. 61 1997 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002Stanley, Richard P. 27 1997 Lê numbers of arrangements and matroid identities. Zbl 0884.05029Massey, 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 0838.13008Stanley, Richard P. 577 1996 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005Stanley, Richard P. 60 1996 Polygon dissections and standard Young tableaux. Zbl 0859.05075Stanley, Richard P. 20 1996 Flag-symmetric and locally rank-symmetric partially ordered sets. Zbl 0857.05091Stanley, Richard P. 8 1996 A matrix for counting paths in acyclic digraphs. Zbl 0860.05054Stanley, Richard P. 6 1996 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027Stanley, Richard P. 158 1995 Algebraic enumeration. Zbl 0853.05002Gessel, Ira M.; Stanley, Richard P. 17 1995 Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091Fomin, Sergey; Stanley, Richard P. 83 1994 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003Stanley, Richard P. 56 1994 A survey of Eulerian posets. Zbl 0816.52004Stanley, Richard P. 17 1994 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093Billey, Sara C.; Jockusch, William; Stanley, Richard P. 177 1993 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097Stanley, Richard P.; Stembridge, John R. 67 1993 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008Stanley, Richard P. 49 1993 A combinatorial decomposition of acyclic simplicial complexes. Zbl 0782.55004Stanley, Richard P. 10 1993 Derangements on the \(n\)-cube. Zbl 0774.05002Chen, William Y. C.; Stanley, Richard P. 6 1993 Subdivisions and local \(h\)-vectors. Zbl 0768.05100Stanley, Richard P. 74 1992 Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R. 41 1992 Sets of vectors with many orthogonal pairs. Zbl 0768.05005Füredi, Zoltán; Stanley, Richard 6 1992 ...and 83 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,921 Authors 89 Stanley, Richard Peter 73 Hibi, Takayuki 56 Chen, William Yong-Chuan 54 Mansour, Toufik 53 Sagan, Bruce Eli 50 Ehrenborg, Richard 45 Pak, Igor 44 Reiner, Victor 40 Brenti, Francesco 37 Morales, Alejandro Henry 37 Panova, Greta 36 Herzog, Jürgen 34 Krattenthaler, Christian Friedrich 33 Nevo, Eran 32 Gessel, Ira Martin 32 Murai, Satoshi 32 Yeh, Yeong-Nan 31 Elizalde, Sergi 31 Zeng, Jiang 30 Nagel, Uwe 30 Readdy, Margaret A. 29 Lin, Zhicong 29 Novik, Isabella 29 Welker, Volkmar 28 Ma, Shi-Mei 28 Terai, Naoki 28 Villarreal, Rafael Heraclio 27 Beck, Matthias 27 Björner, Anders 27 Goulden, Ian P. 27 Han, Guo-Niu 27 Kim, Jang Soo 27 Zanello, Fabrizio 26 Athanasiadis, Christos A. 26 Diaconis, Persi Warren 26 Higashitani, Akihiro 26 Migliore, Juan Carlos 26 Wachs, Michelle Lynn 25 Konvalinka, Matjaž 25 Marberg, Eric 25 Mészáros, Karola 25 Mirò-Roig, Rosa Maria 25 Van Willigenburg, Stephanie J. 25 Yan, Catherine Huafei 24 Bergeron, Nantel 24 Hetyei, Gábor 24 Roichman, Yuval 24 Sturmfels, Bernd 24 Zhu, Baoxuan 23 Jackson, David M. 23 Yanagawa, Kohji 22 Seyed Fakhari, Seyed Amin 22 Tenner, Bridget Eileen 22 Tsuchiya, Akiyoshi 21 Eu, Sen-Peng 21 Gao, Yibo 21 Juhnke-Kubitzke, Martina 21 Rhoades, Brendon 21 Stembridge, John R. 21 Tewari, Vasu V. 21 Yan, Sherry H. F. 20 Billey, Sara C. 20 Ciucu, Mihai 20 Hopkins, Samuel Francis 20 Shin, Yong Su 19 Adin, Ron M. 19 Bousquet-Mélou, Mireille 19 Féray, Valentin 19 Fulman, Jason E. 19 Remmel, Jeffrey Brian 19 Yassemi, Siamak 18 Fomin, Sergey Vladimirovich 18 Gaetz, Christian 18 Geramita, Anthony Vito 18 Ohsugi, Hidefumi 18 Pawlowski, Brendan Alexander 18 Reidys, Christian Michael 18 Wang, Yi 17 Andrews, George Eyre 17 Billera, Louis J. 17 Bóna, Miklós 17 Braun, Benjamin 17 Nadeau, Philippe 17 Sanyal, Raman 17 Shareshian, John 17 Zeilberger, Doron 16 Assaf, Sami H. 16 Baril, Jean-Luc 16 Brown, Jason Ira 16 Chen, Beifang 16 Edelman, Paul H. 16 Fischer, Ilse 16 Foata, Dominique C. 16 Haglund, James 16 Hamaker, Zachary 16 Hersh, Patricia 16 McNamara, Peter R. W. 16 Proctor, Robert A. 16 Vershik, Anatoliĭ Moiseevich 16 Yong, Alexander ...and 6,821 more Authors all top 5 Cited in 547 Serials 627 Journal of Combinatorial Theory. Series A 518 Discrete Mathematics 393 Journal of Algebra 369 Advances in Applied Mathematics 353 European Journal of Combinatorics 330 Advances in Mathematics 313 The Electronic Journal of Combinatorics 306 Journal of Algebraic Combinatorics 212 Transactions of the American Mathematical Society 168 Proceedings of the American Mathematical Society 163 Séminaire Lotharingien de Combinatoire 160 Journal of Pure and Applied Algebra 159 Annals of Combinatorics 155 Linear Algebra and its Applications 149 Communications in Algebra 121 Discrete & Computational Geometry 101 Discrete Applied Mathematics 84 Algebraic Combinatorics 80 Theoretical Computer Science 69 Order 64 Graphs and Combinatorics 59 Journal of Symbolic Computation 59 SIAM Journal on Discrete Mathematics 58 The Ramanujan Journal 55 Mathematische Zeitschrift 53 Journal of Number Theory 49 Journal of Combinatorial Theory. Series B 48 Communications in Mathematical Physics 47 Israel Journal of Mathematics 46 Journal of Integer Sequences 45 Journal of Mathematical Sciences (New York) 40 Journal of Mathematical Physics 38 Journal of High Energy Physics 37 Duke Mathematical Journal 35 Journal of Commutative Algebra 34 The Australasian Journal of Combinatorics 33 Selecta Mathematica. New Series 32 Inventiones Mathematicae 30 Rocky Mountain Journal of Mathematics 29 Linear and Multilinear Algebra 29 Manuscripta Mathematica 29 Bulletin of the American Mathematical Society. New Series 28 Journal of Mathematical Analysis and Applications 28 Combinatorial Theory 27 Journal of Algebra and its Applications 26 The Annals of Probability 26 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 25 Annales de l’Institut Fourier 24 Archiv der Mathematik 24 Journal of Statistical Planning and Inference 24 Mathematische Annalen 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Studies in Applied Mathematics 23 Combinatorica 22 Journal of Statistical Physics 22 Nagoya Mathematical Journal 21 Applied Mathematics and Computation 21 Experimental Mathematics 21 Algebras and Representation Theory 20 Letters in Mathematical Physics 20 Collectanea Mathematica 19 Mathematika 19 Journal of the American Mathematical Society 18 International Journal of Algebra and Computation 17 Mathematics of Computation 17 Designs, Codes and Cryptography 17 Combinatorics, Probability and Computing 17 Finite Fields and their Applications 17 Integers 16 Nuclear Physics. B 16 Tôhoku Mathematical Journal. Second Series 16 Transformation Groups 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Algebra Universalis 15 Compositio Mathematica 14 Journal für die Reine und Angewandte Mathematik 14 Probability Theory and Related Fields 13 Functional Analysis and its Applications 13 Memoirs of the American Mathematical Society 13 Monatshefte für Mathematik 13 Random Structures & Algorithms 13 Algebraic & Geometric Topology 12 Mathematical Notes 12 The Mathematical Intelligencer 12 Journal of Functional Analysis 12 Semigroup Forum 12 Applicable Algebra in Engineering, Communication and Computing 12 Journal of Algebraic Geometry 11 American Mathematical Monthly 11 The Annals of Statistics 11 Journal of Mathematical Psychology 11 The Annals of Applied Probability 11 Aequationes Mathematicae 11 Journal of Physics A: Mathematical and Theoretical 11 Enumerative Combinatorics and Applications 10 Information Processing Letters 10 Journal of Geometry and Physics 10 Journal of Multivariate Analysis 10 Topology and its Applications 10 SIAM Journal on Algebraic and Discrete Methods ...and 447 more Serials all top 5 Cited in 61 Fields 5,157 Combinatorics (05-XX) 1,273 Commutative algebra (13-XX) 1,159 Group theory and generalizations (20-XX) 1,021 Convex and discrete geometry (52-XX) 975 Algebraic geometry (14-XX) 927 Order, lattices, ordered algebraic structures (06-XX) 922 Number theory (11-XX) 475 Probability theory and stochastic processes (60-XX) 434 Associative rings and algebras (16-XX) 422 Computer science (68-XX) 420 Linear and multilinear algebra; matrix theory (15-XX) 283 Special functions (33-XX) 255 Nonassociative rings and algebras (17-XX) 229 Manifolds and cell complexes (57-XX) 209 Quantum theory (81-XX) 204 Algebraic topology (55-XX) 148 Statistical mechanics, structure of matter (82-XX) 118 Operations research, mathematical programming (90-XX) 111 Several complex variables and analytic spaces (32-XX) 110 Category theory; homological algebra (18-XX) 103 Statistics (62-XX) 96 Geometry (51-XX) 96 Information and communication theory, circuits (94-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 89 Numerical analysis (65-XX) 83 Topological groups, Lie groups (22-XX) 81 Dynamical systems and ergodic theory (37-XX) 73 Biology and other natural sciences (92-XX) 67 Real functions (26-XX) 63 Functions of a complex variable (30-XX) 57 Field theory and polynomials (12-XX) 57 Functional analysis (46-XX) 56 Operator theory (47-XX) 53 Mathematical logic and foundations (03-XX) 51 Differential geometry (53-XX) 43 Ordinary differential equations (34-XX) 39 Approximations and expansions (41-XX) 36 Difference and functional equations (39-XX) 35 Abstract harmonic analysis (43-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 29 \(K\)-theory (19-XX) 28 General topology (54-XX) 25 Partial differential equations (35-XX) 25 Integral transforms, operational calculus (44-XX) 21 History and biography (01-XX) 21 Relativity and gravitational theory (83-XX) 17 General and overarching topics; collections (00-XX) 17 Measure and integration (28-XX) 11 Sequences, series, summability (40-XX) 10 Systems theory; control (93-XX) 9 General algebraic systems (08-XX) 5 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Mathematics education (97-XX) 2 Integral equations (45-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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