Edit Profile (opens in new tab) Stanley, Richard Peter Compute Distance To: Compute Author ID: stanley.richard-p Published as: Stanley, Richard P.; Stanley, Richard; Stanley, R. P.; Stanley, R. Homepage: http://www-math.mit.edu/~rstan/ External Links: MGP · Wikidata · ResearchGate · MathOverflow · dblp · GND · IdRef Documents Indexed: 193 Publications since 1969, including 17 Books 20 Contributions as Editor · 3 Further Contributions Biographic References: 3 Publications Co-Authors: 89 Co-Authors with 86 Joint Publications 3,123 Co-Co-Authors all top 5 Co-Authors 125 single-authored 17 Jerison, David S. 17 Yau, Shing-Tung 11 Mrowka, Tomasz S. 9 Mazur, Barry 9 Schmid, Wilfried 8 Kisin, Mark 8 Yau, Horng-Tzer 7 Zanello, Fabrizio 6 Seidel, Paul 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 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 Beck, Matthias 1 Bernardi, Olivier 1 Beschler, Edwin F. 1 Billey, Sara C. 1 Boros, George 1 Buchsbaum, David A. 1 Cai, Tommy Wuxing 1 Calkin, Neil J. 1 Canfield, Rodney E. 1 Carlitz, Leonard 1 Chen, Beifang 1 Chen, Xiaomei 1 Chung Graham, Fan-Rong King 1 Clifford, Peter 1 Corteel, Sylvie 1 Crapo, Henry H. 1 Cristofaro-Gardiner, Dan 1 De Loera, Jesús A. 1 Deng, Eva Y. P. 1 Develin, Mike 1 Diaconis, Persi Warren 1 Edelman, Paul H. 1 Elkies, Noam David 1 Fomin, Sergey Vladimirovich 1 Fraenkel, Aviezri Siegmund 1 Frankl, Péter 1 Furedi, Zoltan 1 Garsia, Adriano M. 1 Hersh, Patricia 1 Hibi, Takayuki 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 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 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 1 Pylyavskyy, Pavlo 1 Qu, Ellen X. Y. 1 Reiner, Victor 1 Roulet, Geoffrey 1 Savage, Carla D. 1 Savitt, David 1 Schwartz, Jacob Theodore 1 Stanton, Dennis W. 1 Taylor, Brian D. 1 Vershik, Anatoliĭ Moiseevich 1 Vertigan, Dirk 1 Welsh, Dominic J. A. 1 Williams, Lauren K. 1 Yan, Catherine Huafei 1 Zeilberger, Doron ...and 1 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 5 Studies in Applied Mathematics 5 Discrete & Computational Geometry 5 Journal of Algebraic Combinatorics 5 Cambridge Studies in Advanced Mathematics 4 Transactions of the American Mathematical Society 4 Advances in Applied Mathematics 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 Notices of the American Mathematical Society 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 all top 5 Fields 170 Combinatorics (05-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 40 Convex and discrete geometry (52-XX) 29 Number theory (11-XX) 29 Group theory and generalizations (20-XX) 23 General and overarching topics; collections (00-XX) 21 Algebraic geometry (14-XX) 17 Commutative algebra (13-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Algebraic topology (55-XX) 11 Probability theory and stochastic processes (60-XX) 6 History and biography (01-XX) 6 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 179 Publications have been cited 10,000 times in 7,143 Documents Cited by ▼ Year ▼ Enumerative combinatorics. Volume 2. Zbl 0928.05001Stanley, Richard P. 1,262 1999 Enumerative combinatorics. Vol. 1. Zbl 0889.05001Stanley, Richard P. 638 1997 Enumerative combinatorics. Vol. I. Zbl 0608.05001Stanley, Richard P. 587 1986 Combinatorics and commutative algebra. 2nd ed. Zbl 0838.13008Stanley, Richard P. 472 1996 Enumerative combinatorics. Vol. 1. 2nd ed. Zbl 1247.05003Stanley, Richard P. 448 2012 Hilbert functions of graded algebras. Zbl 0384.13012Stanley, Richard P. 398 1978 Log-concave and unimodal sequences in algebra, combinatorics, and geometry. Zbl 0792.05008Stanley, Richard P. 250 1989 Weyl groups, the hard Lefschetz theorem, and the Sperner property. Zbl 0502.05004Stanley, Richard P. 189 1980 The number of faces of a simplicial convex polytope. Zbl 0427.52006Stanley, Richard P. 182 1980 Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072Stanley, Richard P. 172 1989 Two poset polytopes. Zbl 0595.52008Stanley, Richard P. 171 1986 Ordered structures and partitions. Zbl 0246.05007Stanley, Richard P. 164 1972 Acyclic orientations of graphs. Zbl 0258.05113Stanley, Richard P. 161 1973 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093Billey, Sara C.; Jockusch, William; Stanley, Richard P. 155 1993 Invariants of finite groups and their applications to combinatorics. Zbl 0497.20002Stanley, Richard P. 155 1979 Combinatorics and commutative algebra. Zbl 0537.13009Stanley, Richard P. 153 1983 Decompositions of rational convex polytopes. Zbl 0812.52012Stanley, Richard P. 152 1980 Supersolvable lattices. Zbl 0256.06002Stanley, R. P. 147 1972 On the number of reduced decompositions of elements of Coxeter groups. Zbl 0587.20002Stanley, Richard P. 138 1984 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027Stanley, Richard P. 134 1995 Differentiably finite power series. Zbl 0445.05012Stanley, R. P. 127 1980 Linear Diophantine equations and local cohomology. Zbl 0516.10009Stanley, Richard P. 115 1982 Catalan numbers. Zbl 1317.05010Stanley, Richard P. 113 2015 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002Stanley, Richard P. 112 2001 The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009Stanley, Richard P. 111 1975 Some aspects of groups acting on finite posets. Zbl 0496.06001Stanley, Richard P. 107 1982 An introduction to hyperplane arrangements. Zbl 1136.52009Stanley, Richard P. 100 2007 Theory and application of plane partitions. II. Zbl 0225.05012Stanley, Richard P. 95 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. 87 2007 Balanced Cohen-Macaulay complexes. Zbl 0411.05012Stanley, Richard P. 85 1979 Differential posets. Zbl 0658.05006Stanley, Richard P. 75 1988 Schubert polynomials and the nilCoxeter algebra. Zbl 0809.05091Fomin, Sergey; Stanley, Richard P. 73 1994 Theory and application of plane partitions. I. Zbl 0225.05011Stanley, Richard P. 71 1971 Binomial posets, Möbius inversion, and permutation enumeration. Zbl 0331.05004Stanley, Richard P. 69 1976 Stirling polynomials. Zbl 0378.05006Gessel, Ira; Stanley, Richard P. 68 1978 Subdivisions and local \(h\)-vectors. Zbl 0768.05100Stanley, Richard P. 63 1992 Symmetries of plane partitions. Zbl 0602.05007Stanley, Richard P. 62 1986 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 59 2002 A survey of alternating permutations. Zbl 1231.05288Stanley, Richard P. 57 2010 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097Stanley, Richard P.; Stembridge, John R. 56 1993 A bound on the spectral radius of graphs with \(e\) edges. Zbl 0617.05045Stanley, Richard P. 55 1987 Linear homogeneous Diophantine equations and magic labelings of graphs. Zbl 0269.05109Stanley, Richard P. 54 1973 Modular elements of geometric lattices. Zbl 0229.05032Stanley, Richard P. 54 1971 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111Stanley, Richard P. 54 2000 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005Stanley, Richard P. 53 1996 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003Stanley, Richard P. 53 1994 Combinatorial reciprocity theorems. Zbl 0294.05006Stanley, Richard P. 51 1974 Structure of incidence algebras and their automorphism groups. Zbl 0205.31702Stanley, R. P. 51 1970 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004Postnikov, Alexander; Stanley, Richard P. 51 2000 Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems. Zbl 1061.05508Stanley, Richard P. 50 1998 Parking functions and noncrossing partitions. Zbl 0883.06001Stanley, Richard P. 49 1997 Relative invariants of finite groups generated by pseudoreflections. Zbl 0383.20029Stanley, Richard P. 49 1977 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008Stanley, Richard P. 44 1993 f-vectors and h-vectors of simplicial posets. Zbl 0727.06009Stanley, Richard P. 40 1991 On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010Stanley, Richard P. 38 1991 A super-class walk on upper-triangular matrices. Zbl 1056.60006Arias-Castro, Ery; Diaconis, Persi; Stanley, Richard 36 2004 On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard 35 1972 Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R. 35 1992 Cohen-Macaulay complexes. Zbl 0376.55007Stanley, Richard P. 34 1977 Robinson-Schensted algorithms for skew tableaux. Zbl 0732.05061Sagan, Bruce E.; Stanley, Richard P. 33 1990 Two combinatorial applications of the Aleksandrov-Fenchel inequalities. Zbl 0484.05012Stanley, Richard P. 32 1981 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013Stanley, Richard P. 31 1998 Promotion and evacuation. Zbl 1169.06002Stanley, Richard P. 31 2009 A zonotope associated with graphical degree sequences. Zbl 0737.05057Stanley, Richard P. 30 1991 Generalized h-vectors, intersection cohomology of toric varieties, and related results. Zbl 0652.52007Stanley, Richard 29 1987 Exponential structures. Zbl 0381.05004Stanley, Richard P. 29 1978 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 27 2005 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017Stanley, Richard P.; Zanello, Fabrizio 26 2015 Smith normal form in combinatorics. Zbl 1343.05026Stanley, Richard P. 26 2016 Longest alternating subsequences of permutations. Zbl 1247.05016Stanley, Richard P. 26 2008 Finite lattices and Jordan-Hölder sets. Zbl 0303.06006Stanley, Richard P. 25 1974 Cohen-Macaulay rings and constructible polytopes. Zbl 0304.52005Stanley, Richard P. 24 1975 The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010Björner, A.; Frankl, P.; Stanley, R. 24 1987 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002Stanley, Richard P. 24 1997 Factorization of permutations into n-cycles. Zbl 0467.20005Stanley, Richard P. 24 1981 The stable behavior of some characters of SL(n,\({\mathbb{C}})\). Zbl 0573.20042Stanley, Richard P. 23 1984 The Fibonacci lattice. Zbl 0328.06007Stanley, Richard P. 23 1975 Some remarks on sign-balanced and maj-balanced posets. Zbl 1097.06004Stanley, Richard P. 22 2005 Quotients of Peck posets. Zbl 0564.06002Stanley, Richard P. 21 1984 The conjugate trace and trace of a plane partition. Zbl 0251.05006Stanley, Richard P. 21 1973 Algebraic combinatorics. Walks, trees, tableaux, and more. Zbl 1278.05002Stanley, Richard P. 21 2013 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 21 2012 Increasing and decreasing subsequences and their variants. Zbl 1133.05002Stanley, Richard P. 20 2007 On the number of open sets of finite topologies. Zbl 0214.21001Stanley, R. P. 20 1971 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078Stanley, Richard P. 20 2001 Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings. Zbl 0335.05010Stanley, Richard P. 19 1976 Eulerian partitions of a unit hypercube. Zbl 0359.05001Stanley, Richard P. 17 1977 Algebraic enumeration. Zbl 0853.05002Gessel, Ira M.; Stanley, Richard P. 17 1995 Polygon dissections and standard Young tableaux. Zbl 0859.05075Stanley, Richard P. 17 1996 Enumeration of posets generated by disjoint unions and ordinal sums. Zbl 0297.05009Stanley, Richard P. 17 1974 Chains in the Bruhat order. Zbl 1238.14036Postnikov, Alexander; Stanley, Richard P. 17 2009 On the number of faces of centrally-symmetric simplicial polytopes. Zbl 0611.52002Stanley, Richard P. 16 1987 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001Bóna, Miklós 15 2007 Reconstruction from vertex-switching. Zbl 0572.05046Stanley, Richard P. 14 1985 A survey of Eulerian posets. Zbl 0816.52004Stanley, Richard P. 14 1994 Irreducible symmetric group characters of rectangular shape. Zbl 1068.20017Stanley, Richard P. 14 2003 Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007Rota, Gian-Carlo 13 1975 Two enumerative results on cycles of permutations. Zbl 1238.05015Stanley, Richard P. 13 2011 Spanning trees and a conjecture of Kontsevich. Zbl 0927.05087Stanley, Richard P. 12 1998 The descent set and connectivity set of a permutation. Zbl 1101.05002Stanley, Richard P. 12 2005 On a generalization of Lie\((k)\): a CataLAnKe theorem. Zbl 1477.17043Friedmann, Tamar; Hanlon, Phil; Stanley, Richard P.; Wachs, Michelle L. 1 2021 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. 1 2019 Action of the symmetric group on the free LAnKe: a CataLAnKe theorem. Zbl 1411.05282Friedmann, Tamar; Hanlon, Philip; Stanley, Richard P.; Wachs, Michelle L. 3 2018 Algebraic combinatorics. Walks, trees, tableaux, and more. 2nd edition. Zbl 1397.05003Stanley, Richard P. 3 2018 The Smith normal form distribution of a random integer matrix. Zbl 1372.05006Wang, Yinghui; Stanley, Richard P. 9 2017 The Smith normal form of a specialized Jacobi-Trudi matrix. Zbl 1358.05025Stanley, Richard P. 3 2017 A walk through combinatorics. An introduction to enumeration and graph theory. With a foreword by Richard Stanley. 4th edition. Zbl 1361.05001Bóna, Miklós 3 2017 Smith normal form in combinatorics. Zbl 1343.05026Stanley, Richard P. 26 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. 3 2016 A refined enumeration of hex trees and related polynomials. Zbl 1331.05109Kim, Hana; Stanley, Richard P. 2 2016 Catalan numbers. Zbl 1317.05010Stanley, Richard P. 113 2015 The Catalan case of Armstrong’s conjecture on simultaneous core partitions. Zbl 1311.05017Stanley, Richard P.; Zanello, Fabrizio 26 2015 Unimodality of partitions with distinct parts inside Ferrers shapes. Zbl 1315.05016Stanley, Richard P.; Zanello, Fabrizio 5 2015 Supersolvability and freeness for \(\psi\)-graphical arrangements. Zbl 1314.05076Mu, Lili; Stanley, Richard P. 5 2015 Smith normal form of a multivariate matrix associated with partitions. Zbl 1307.05009Bessenrodt, Christine; Stanley, Richard P. 4 2015 Valid orderings of real hyperplane arrangements. Zbl 1322.52018Stanley, Richard P. 4 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. 5 2014 How the upper bound conjecture was proved. Zbl 1408.05144Stanley, Richard P. 2 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. 21 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. 448 2012 Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116Corteel, S.; Stanley, R.; Stanton, D.; Williams, L. 21 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. 3 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. 13 2011 Two remarks on skew tableaux. Zbl 1238.05277Stanley, Richard P. 2 2011 A survey of alternating permutations. Zbl 1231.05288Stanley, Richard P. 57 2010 Some combinatorial properties of hook lengths, contents, and parts of partitions. Zbl 1234.05234Stanley, Richard P. 12 2010 Tilings. Zbl 1242.52022Ardila, Federico; Stanley, Richard P. 10 2010 Promotion and evacuation. Zbl 1169.06002Stanley, Richard P. 31 2009 Chains in the Bruhat order. Zbl 1238.14036Postnikov, Alexander; Stanley, Richard P. 17 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. 26 2008 Current developments in mathematics, 2006. Zbl 1149.00018 1 2008 An introduction to hyperplane arrangements. Zbl 1136.52009Stanley, Richard P. 100 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. 87 2007 Increasing and decreasing subsequences and their variants. Zbl 1133.05002Stanley, Richard P. 20 2007 Introduction to enumerative combinatorics. With a foreword by Richard Stanley. Zbl 1208.05001Bóna, Miklós 15 2007 Alternating permutations and symmetric functions. Zbl 1118.05002Stanley, Richard P. 12 2007 Acyclic orientations of graphs. (Reprint). Zbl 1094.05031Stanley, Richard P. 4 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. 27 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. 12 2005 Combinatorics and commutative algebra. 2nd ed. Zbl 1157.13302Stanley, Richard P. 10 2005 Properties of some character tables related to the symmetric groups. Zbl 1062.05144Bessenrodt, Christine; Olsson, Jørn B.; Stanley, Richard P. 3 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 36 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. 14 2003 Recent progress in algebraic combinatorics. Zbl 1119.14002Stanley, Richard P. 8 2003 On the enumeration of skew Young tableaux. Zbl 1027.05109Stanley, R. P. 7 2003 A polytope related to empirical distributions, plane trees, parking functions, and the associahedron. Zbl 1012.52019Stanley, Richard P.; Pitman, Jim 59 2002 The rank and minimal border strip decompositions of a skew partition. Zbl 1018.05105Stanley, Richard P. 5 2002 Enumerative combinatorics. Volume 2. Paperback ed. Zbl 0978.05002Stanley, Richard P. 112 2001 Generalized riffle shuffles and quasisymmetric functions. Zbl 1010.05078Stanley, Richard P. 20 2001 Positivity problems and conjectures in algebraic combinatorics. Zbl 0955.05111Stanley, Richard P. 54 2000 Deformations of Coxeter hyperplane arrangements. Zbl 0962.05004Postnikov, Alexander; Stanley, Richard P. 51 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. 1,262 1999 Flag-symmetry of the poset of shuffles and a local action of the symmetric group. Zbl 0931.06004Simion, Rodica; Stanley, Richard P. 9 1999 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006Stanley, Richard P. 7 1999 Domino tilings with barriers. Zbl 0948.05020Propp, James; Stanley, Richard 3 1999 New perspectives in algebraic combinatorics. Zbl 0927.00011 1 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. 50 1998 Hyperplane arrangements, parking functions and tree inversions. Zbl 0917.52013Stanley, Richard P. 31 1998 Spanning trees and a conjecture of Kontsevich. Zbl 0927.05087Stanley, Richard P. 12 1998 A \(q\)-deformation of a trivial symmetric group action. Zbl 0921.20009Hanlon, Phil; Stanley, Richard P. 9 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. 638 1997 Parking functions and noncrossing partitions. Zbl 0883.06001Stanley, Richard P. 49 1997 Hipparchus, Plutarch, Schröder, and Hough. Zbl 0873.01002Stanley, Richard P. 24 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. 472 1996 Hyperplane arrangements, interval orders, and trees. Zbl 0848.05005Stanley, Richard P. 53 1996 Polygon dissections and standard Young tableaux. Zbl 0859.05075Stanley, Richard P. 17 1996 Flag-symmetric and locally rank-symmetric partially ordered sets. Zbl 0857.05091Stanley, Richard P. 7 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. 134 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. 73 1994 Flag \(f\)-vectors and the \(cd\)-index. Zbl 0805.06003Stanley, Richard P. 53 1994 A survey of Eulerian posets. Zbl 0816.52004Stanley, Richard P. 14 1994 Some combinatorial properties of Schubert polynomials. Zbl 0790.05093Billey, Sara C.; Jockusch, William; Stanley, Richard P. 155 1993 On immanants of Jacobi-Trudi matrices and permutations with restricted position. Zbl 0772.05097Stanley, Richard P.; Stembridge, John R. 56 1993 A monotonicity property of \(h\)-vectors and \(h^*\)-vectors. Zbl 0799.52008Stanley, Richard P. 44 1993 A combinatorial decomposition of acyclic simplicial complexes. Zbl 0782.55004Stanley, Richard P. 8 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. 63 1992 Some combinatorial aspects of the spectra of normally distributed random matrices. Zbl 0789.05092Hanlon, Philip J.; Stanley, Richard P.; Stembridge, John R. 35 1992 Sets of vectors with many orthogonal pairs. Zbl 0768.05005Füredi, Zoltán; Stanley, Richard 6 1992 f-vectors and h-vectors of simplicial posets. Zbl 0727.06009Stanley, Richard P. 40 1991 On the Hilbert function of a graded Cohen-Macaulay domain. Zbl 0735.13010Stanley, Richard P. 38 1991 A zonotope associated with graphical degree sequences. Zbl 0737.05057Stanley, Richard P. 30 1991 ...and 79 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,971 Authors 86 Stanley, Richard Peter 66 Hibi, Takayuki 49 Chen, William Yong-Chuan 49 Ehrenborg, Richard 48 Sagan, Bruce Eli 47 Mansour, Toufik 44 Reiner, Victor 39 Brenti, Francesco 34 Pak, Igor 33 Herzog, Jürgen 33 Krattenthaler, Christian Friedrich 31 Gessel, Ira Martin 31 Murai, Satoshi 31 Yeh, Yeong-Nan 30 Nevo, Eran 29 Readdy, Margaret A. 28 Panova, Greta 28 Zeng, Jiang 27 Diaconis, Persi Warren 27 Goulden, Ian P. 27 Ma, Shi-Mei 27 Nagel, Uwe 27 Villarreal, Rafael Heraclio 27 Welker, Volkmar 27 Zanello, Fabrizio 26 Han, Guo-Niu 26 Morales, Alejandro Henry 26 Novik, Isabella 25 Björner, Anders 25 Yan, Catherine Huafei 24 Elizalde, Sergi 24 Hetyei, Gábor 24 Kim, Jang Soo 24 Migliore, Juan Carlos 24 Wachs, Michelle Lynn 23 Athanasiadis, Christos A. 23 Konvalinka, Matjaž 23 Lin, Zhicong 23 Mirò-Roig, Rosa Maria 22 Beck, Matthias 22 Bergeron, Nantel 22 Higashitani, Akihiro 22 Jackson, David M. 22 Roichman, Yuval 22 Sturmfels, Bernd 22 Van Willigenburg, Stephanie J. 22 Zhu, Baoxuan 21 Marberg, Eric 21 Mészáros, Karola 21 Seyed Fakhari, Seyed Amin 21 Stembridge, John R. 21 Terai, Naoki 21 Yanagawa, Kohji 20 Rhoades, Brendon 19 Fulman, Jason E. 19 Shin, Yong Su 19 Tewari, Vasu V. 18 Billera, Louis J. 18 Ciucu, Mihai 18 Eu, Sen-Peng 18 Féray, Valentin 18 Fomin, Sergey Vladimirovich 18 Geramita, Anthony Vito 18 Juhnke-Kubitzke, Martina 18 Tsuchiya, Akiyoshi 17 Adin, Ron M. 17 Billey, Sara C. 17 Hopkins, Samuel Francis 17 Ohsugi, Hidefumi 17 Reidys, Christian Michael 17 Remmel, Jeffrey B. 17 Shareshian, John 17 Tenner, Bridget Eileen 17 Wang, Yi 16 Bóna, Miklós 16 Brown, Jason Ira 16 Foata, Dominique C. 16 Gao, Yibo 16 Hersh, Patricia 16 Nadeau, Philippe 16 Proctor, Robert A. 16 Zeilberger, Doron 15 Andrews, George Eyre 15 Biagioli, Riccardo 15 Bousquet-Mélou, Mireille 15 Chen, Beifang 15 Edelman, Paul H. 15 Haglund, James 15 Klee, Steven 15 Martin, Jeremy L. 15 Nakajima, Haruhisa 15 Sanyal, Raman 15 Vershik, Anatoliĭ Moiseevich 15 Yang, Arthur L. B. 15 Yassemi, Siamak 15 Ziegler, Günter Matthias 14 Fischer, Ilse 14 Gaetz, Christian 14 Hamaker, Zachary 14 Katthän, Lukas ...and 5,871 more Authors all top 5 Cited in 496 Serials 600 Journal of Combinatorial Theory. Series A 473 Discrete Mathematics 364 Journal of Algebra 333 Advances in Applied Mathematics 313 European Journal of Combinatorics 294 Advances in Mathematics 262 The Electronic Journal of Combinatorics 254 Journal of Algebraic Combinatorics 201 Transactions of the American Mathematical Society 155 Proceedings of the American Mathematical Society 150 Journal of Pure and Applied Algebra 146 Annals of Combinatorics 139 Communications in Algebra 133 Linear Algebra and its Applications 112 Discrete & Computational Geometry 108 Séminaire Lotharingien de Combinatoire 91 Discrete Applied Mathematics 78 Theoretical Computer Science 69 Algebraic Combinatorics 64 Order 57 Graphs and Combinatorics 50 Mathematische Zeitschrift 49 Journal of Symbolic Computation 49 The Ramanujan Journal 47 Journal of Number Theory 47 SIAM Journal on Discrete Mathematics 46 Journal of Combinatorial Theory. 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Mathématique. Académie des Sciences, Paris 19 Letters in Mathematical Physics 19 Applied Mathematics and Computation 19 Algebras and Representation Theory 19 Journal of Algebra and its Applications 18 Collectanea Mathematica 17 Journal of the American Mathematical Society 17 Experimental Mathematics 16 Mathematics of Computation 16 Tohoku Mathematical Journal. Second Series 15 Algebra Universalis 15 Combinatorics, Probability and Computing 15 Transformation Groups 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 International Journal of Algebra and Computation 13 Compositio Mathematica 13 Probability Theory and Related Fields 13 Designs, Codes and Cryptography 13 Finite Fields and their Applications 12 Mathematical Notes 12 Nuclear Physics. B 12 Functional Analysis and its Applications 12 Mathematika 11 American Mathematical Monthly 11 The Annals of Statistics 11 Journal of Functional Analysis 11 Journal für die Reine und Angewandte Mathematik 11 Random Structures & Algorithms 11 The Annals of Applied Probability 11 Journal of Algebraic Geometry 11 Integers 10 Information Processing Letters 10 Journal of Mathematical Psychology 10 Monatshefte für Mathematik 10 SIAM Journal on Algebraic and Discrete Methods 10 Journal of Theoretical Probability 10 Aequationes Mathematicae 10 Applicable Algebra in Engineering, Communication and Computing 10 Algebraic & Geometric Topology 9 Bulletin of the Australian Mathematical Society 9 Journal of Geometry and Physics 9 The Mathematical Intelligencer 9 Fuzzy Sets and Systems 9 Journal of Computational and Applied Mathematics 9 Journal of Multivariate Analysis 9 Memoirs of the American Mathematical Society 9 Journal of the European Mathematical Society (JEMS) ...and 396 more Serials all top 5 Cited in 61 Fields 4,433 Combinatorics (05-XX) 1,117 Commutative algebra (13-XX) 1,006 Group theory and generalizations (20-XX) 884 Convex and discrete geometry (52-XX) 820 Order, lattices, ordered algebraic structures (06-XX) 816 Algebraic geometry (14-XX) 771 Number theory (11-XX) 405 Probability theory and stochastic processes (60-XX) 394 Associative rings and algebras (16-XX) 371 Computer science (68-XX) 354 Linear and multilinear algebra; matrix theory (15-XX) 262 Special functions (33-XX) 228 Nonassociative rings and algebras (17-XX) 191 Manifolds and cell complexes (57-XX) 174 Algebraic topology (55-XX) 163 Quantum theory (81-XX) 125 Statistical mechanics, structure of matter (82-XX) 99 Operations research, mathematical programming (90-XX) 97 Several complex variables and analytic spaces (32-XX) 92 Category theory; homological algebra (18-XX) 92 Statistics (62-XX) 84 Geometry (51-XX) 81 Information and communication theory, circuits (94-XX) 78 Numerical analysis (65-XX) 77 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Topological groups, Lie groups (22-XX) 66 Dynamical systems and ergodic theory (37-XX) 65 Biology and other natural sciences (92-XX) 53 Functions of a complex variable (30-XX) 51 Mathematical logic and foundations (03-XX) 50 Real functions (26-XX) 47 Field theory and polynomials (12-XX) 47 Differential geometry (53-XX) 45 Operator theory (47-XX) 44 Functional analysis (46-XX) 40 Ordinary differential equations (34-XX) 36 Approximations and expansions (41-XX) 31 Abstract harmonic analysis (43-XX) 29 Difference and functional equations (39-XX) 29 Global analysis, analysis on manifolds (58-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 25 \(K\)-theory (19-XX) 24 Integral transforms, operational calculus (44-XX) 24 General topology (54-XX) 18 Partial differential equations (35-XX) 15 Measure and integration (28-XX) 14 History and biography (01-XX) 14 Relativity and gravitational theory (83-XX) 13 General and overarching topics; collections (00-XX) 9 General algebraic systems (08-XX) 8 Systems theory; control (93-XX) 6 Sequences, series, summability (40-XX) 3 Mechanics of deformable solids (74-XX) 3 Mathematics education (97-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mechanics of particles and systems (70-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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