Publications of Richard P. Stanley
(July 2016)
 1.
 Algorithmic Complexity, NASA Report
No.32999 (September 1, 1966).
 2.
 Zerosquare rings, Pacific
J. Math. 30 (1969), 811824.
 3.
 On the number of open sets of finite
topologies, J. Combinatorial Theory 10 (1971),
7479.
 4.
 The conjugate trace and trace of a plane
partition, J. Combinatorial Theory 14 (1973),
5365.
 5.
 Structure of incidence algebras and their
automorphism groups, Bull. Amer. Math. Soc. 76
(1970), 12361239.
 6.
 Modular elements of geometric
lattices, Algebra Universalis 1 (1971), 214217.
 7.
 A chromaticlike polynomial for ordered
sets, in Proc. Second Chapel Hill Conference on Combinatorial
Mathematics and Its Applications (May, 1970), pp. 421427.
 8.
 The following papers appeared in the Jet Propulsion Laboratory
Space Programs Summary or Deep Space Network
journals:
 New results on algorithmic complexity, JPL SPS
3734, Vol. IV.
 Further results on the algorithmic complexity of (p,q)
automata, JPL SPS 3735, Vol. IV.
 The notion of a (p,q,r) automaton, JPL SPS 3735,
Vol. IV.
 Enumeration of a special
class of permutations, JPL
SPS 3740, Vol. IV (1966), 208214.
 Moments of weight distributions,
JPL SPS 3740, Vol.
IV (1966), 214216.
 Some results
on the capacity of graphs (with R. J. McEliece
and H. Taylor), JPL SPS 3761, Vol. III (1970),
5154.
 A study of Varshamov codes
for asymmetric channels (with M. F. Yoder), JPL Technical
Report 321526, DSM, Vol. XIV (1973), 117123.
 9.
 Ordered structures and partitions
(revision of 1971 Harvard University thesis), Memoirs of the
Amer. Math. Soc., no. 119 (1972), iii + 104 pages.
 10.
 On the foundations of combinatorial
theory (VI): The idea of generating function (with G.C. Rota and
P. Doubilet), in Sixth Berkeley Symposium on Mathematical
Statistics and Probability, Vol. II: Probability Theory,
University of California, 1972,
pp. 267318. Note: Section 9
and the bibliography are missing from this link. Another link is here.
 11.
 Supersolvable lattices, Algebra
Universalis 2 (1972), 197217.
 12.
 Theory and application of plane partitions, Parts 1 and
2, Studies in Applied Math.
50 (1971), 167188, 259279.
 13.
 An extremal problem for finite
topologies and distributive lattices, J. Combinatorial
Theory 14 (1973), 209214.
 14.
 The Fibonacci lattice,
Fibonacci Quarterly 13 (1975), 215232.
 15.
 A Brylawski decomposition for finite
ordered sets, Discrete Math. 4 (1973), 7782.
 16.
 Review of Claude Berge, Principles
of Combinatorics, in Bull. Amer. Math. Soc.
77 (1971), 685689.
 17.
 A combinatorial packing problem
(with five other authors), SIAMAMS Proc. 4 (1971),
97108.
 18.
 Acyclic orientations of graphs,
Discrete Math. 5 (1973), 171178.
 19.
 Linear homogeneous diophantine equations
and magic labelings of graphs, Duke Math. J. 40
(1973), 607632.
 20.
 Enumeration of posets generated by
disjoint unions and ordinal sums, Proc. Amer. Math. Soc.
45 (1974), 295299.
 21.
 Finite lattices and JordanHölder
sets, Algebra Universalis 4 (1974), 361371.
 22.
 Combinatorial reciprocity theorems,
Advances in Math. 14 (1974), 194253.
 23.
 Combinatorial reciprocity theorems,
in Combinatorics (Part 2) (M. Hall, Jr., and J. H. Van Lint,
eds.), Mathematical Centre Tracts 56, Mathematisch Centrum,
Amsterdam, 1974, pp. 107118.
 24.
 Generating functions, in Studies
in Combinatorics (G.C. Rota, ed.), Mathematical Association of
America, 1978, pp 100141.
 25.
 CohenMacaulay rings and constructible
polytopes, Bull. Amer. Math. Soc. 81 (1975), 133135.
 26.
 Branchings and partitions (with
L. Carlitz), Proc. Amer. Math. Soc. 53 (1975), 246249.
 27.
 The Upper Bound Conjecture and
CohenMacaulay rings,
Studies in Applied Math. 54 (1975), 135142.
 28.
 Binomial posets, Möbius inversion,
and permutation enumeration, J. Combinatorial Theory (A)
20 (1976), 336356.
 29.
 Stirling polynomials (with
I. Gessel), J. Combinatorial Theory (A) 24 (1978),
2433.
 30.
 Hilbert functions of graded
algebras, Advances in Math. 28 (1978), 5783.
 31.
 Magic labelings of graphs, symmetric
magic squares, systems of parameters, and CohenMacaulay rings,
Duke Math. J.
43 (1976), 511531.
 32.
 Relative invariants of finite groups
generated by pseudoreflections, J. Algebra 49
(1977), 134148.
 33.
 Some combinatorial aspects of the
Schubert calculus, in Combinatoire et Réprésentation
du Groupe Symétrique (Strasbourg, 1976), Lecture Notes in
Math., No. 579, SpringerVerlag, Berlin, 1977,
pp. 217251. Note. Theorem 4.5 is false in general,
but it is true for ordinary Schubert varieties.
 34.
 CohenMacaulay complexes, in
Higher Combinatorics (M. Aigner, ed.), Reidel,
Dordrecht/Boston, 1977, pp. 5162.
 34a.
 Eulerian partitions of a unit
hypercube, in Higher Combinatorics (M. Aigner, ed.),
Reidel, Dordrecht/Boston, 1977, p. 49.
 35.
 Enumeration of power sums modulo a
prime (with A. Odlyzko), J. Number Theory 10
(1978), 263272.
 36.
 Balanced CohenMacaulay complexes,
Trans. Amer. Math. Soc. 249 (1979), 139157.
 37.
 Exponential structures, Studies
in Applied Math. 59 (1978), 7382.
 38.
 Invariants of finite groups and their
applications to combinatorics, Bull. Amer. Math. Soc.
(new series) 1 (1979), 475511.
 39.
 Combinatorics and invariant theory,
in Relations between Combinatorics and Other Parts of
Mathematics (D. K. RayChaudhuri, ed.), Proc. Symposium in Pure
Math. 34 (1979), American Mathematical Society, Providence,
Rhode Island, pp. 345355. djvu file
 40.
 Decompositions of rational convex
polytopes, Annals of Discrete Math. 6 (1980),
333342.
 41.
 Unimodal sequences arising from Lie
algebras, in Young Day Proceedings
(T. V. Narayana, R. M. Mathsen, and J. G. Williams, eds.),
Dekker, New York/Basel, 1980, pp. 127136.
 42.
 Weyl groups, the hard Lefschetz theorem,
and the Sperner property, SIAM J. Algebraic and Discrete
Methods 1 (1980), 168184.
 43.
 An application of algebraic geometry to
extremal set theory, in Ring Theory and Algebra III
(B. R. McDonald, ed.), Dekker, New York/Basel, 1980, pp. 415422.
 44.
 The character generator of
SU(n), J. Math. Physics 21 (1980),
23212326
 45.
 Differentiably finite power series,
European J. Combinatorics 1 (1980), 175188.
 46.
 The number of faces of a simplicial
convex polytope, Advances in Math. 35 (1980),
236238.
 47.
 Factorization of permutations into
ncycles, Discrete Math. 37 (1981), 255262.
 48.
 Two combinatorial applications of the
AleksandrovFenchel inequalities, J. Combinatorial Theory
(A) 31 (1981), 5665.
 49.
 Review of I. G. Macdonald,
Symmetric functions and Hall polynomials, in
Bull. Amer. Math. Soc. (new series)
4 (1981), 254265.
 50.
 Some aspects of groups acting on finite
posets, J. Combinatorial Theory (A) 32 (1982),
132161.
 51.
 Linear diophantine equations and local
cohomology, Inventiones Math. 68 (1982), 175193.
 52.
 An introduction to the theory of
CohenMacaulay partially ordered sets (with A. Björner and
A. Garsia), in Ordered Sets (I. Rival, ed.), Reidel,
Dordrecht/Boston/London, 1982, pp. 583615.
 53.
 Combinatorics and Commutative Algebra, Progress in
Mathematics, vol. 41, Birkhäuser, Boston/Basel/Stuttgart, 1983,
viii + 88 pages; second edition, 1996, ix + 164 pages.
 54.
 The number of faces of simplicial
polytopes and spheres,
in Discrete Geometry and Convexity (J. E. Goodman, et al.,
eds.), Ann. New York Acad. Sci., vol. 440 (1985), pp. 212223.
 55.
 An introduction to combinatorial
commutative algebra, in Enumeration and Design
(D. M. Jackson and S. A. Vanstone, eds.), Academic Press,
Toronto/Orlando, 1984, pp. 318.
 56.
 On the number of reduced decompositions
of elements of Coxeter groups, European J. Combinatorics
5 (1984), 359372.
 57.
 GL(n,C) for
combinatorialists, in Surveys in Combinatorics
(E. K. Lloyd, ed.), London Math. Soc. Lecture Note Series, vol. 82,
Cambridge University Press, Cambridge, 1983, pp. 187199.
 58.
 Combinatorial applications of the hard
Lefschetz theorem, in Proc. International Congress of
Mathematicians (Warsaw, 1983), NorthHolland, Amsterdam (1984),
pp. 447453.
 59.
 The stable behavior of some characters
of SL(n, C), Linear and
Multilinear Algebra 16 (1984), 2934.
 60.
 Quotients of Peck posets,
Order 1 (1984), 2934.
 61.
 The qDyson conjecture,
generalized exponents, and the internal product of Schur
functions, in Combinatorics and Algebra (C. Greene, ed.),
Contemporary Math., vol. 34, American Math. Society, Providence, RI
(1984), 8194. djvu
file and update.
 62.
 Unimodality and Lie superalgebras,
Studies in Applied Math. 72 (1985), 263281.
 63.
 Reconstruction from
vertexswitching, J. Combinatorial Theory (B) 38
(1985), 132138.
 64.
 On dimer coverings of rectangles of
fixed width, Discrete Applied Math. 12 (1985),
8187.
 65.
 Symmetries of plane partitions,
J. Combinatorial Theory (A) 43 (1986),
103113. Erratum, 44 (1987), 310.
 66.
 Two poset polytopes, Discrete
Comput. Geom. 1 (1986), 923.
 67.
 A baker's dozen of conjectures
concerning plane partitions, in Combinatoire
Énumérative (G. Labelle and P.
Leroux, eds.), Lecture Notes in Math., no. 1234, SpringerVerlag,
Berlin/Heidelberg/New York, 1986, pp. 285293.
 68.
 The number of faces of balanced
CohenMacaulay complexes and a generalized Macaulay theorem (with
A. Björner and P. Frankl), Combinatorica 7
(1987), 2334.
 69.
 Generalized hvectors,
intersection cohomology of toric varieties, and related results,
in Commutative Algebra and Combinatorics (M. Nagata and
H. Matsumura, eds.), Advanced Studies in Pure Mathematics 11,
Kinokuniya, Tokyo, and NorthHolland, Amsterdam/New York, 1987,
pp. 187213.
 70.
 Enumerative Combinatorics, vol. 1, Wadsworth and
Brooks/Cole, Pacific Grove, CA, 1986, xi + 306 pages; second printing,
Cambridge University Press, Cambridge, 1996.
 71.
 A bound on the spectral radius of
graphs with e edges, Linear Alg. Appl. 87
(1987), 267269.
 72.
 Logconcave and unimodal sequences in
algebra, combinatorics, and geometry, in Graph Theory and Its
Applications: East and West, Ann. New York Acad. Sci., vol. 576,
1989, pp. 500535.
 73.
 Some combinatorial properties of Jack
symmetric functions, Advances in Math. 77 (1989),
76115.
 74.
 On the number of faces of
centrallysymmetric simplicial polytopes, Graphs and
Combinatorics 3 (1987), 5566.
 75.
 Plane partitions: past, present, and
future, in Combinatorial Mathematics: Proceedings of the Third
International Conference, Ann. New York Acad. Sci., vol. 555,
pp. 397401.
 76.
 RobinsonSchensted algorithms for skew
tableaux (with B. Sagan), J. Combinatorial Theory (A)
55 (1990), 161193.
 77.
 Differential posets,
J. Amer. Math. Soc. 1 (1988), 919961.
 78.
 Variations on differential posets,
in Invariant Theory and Tableaux (D. Stanton, ed.), The IMA
Volumes in Mathematics and Its Applications, vol. 19, SpringerVerlag,
New York, 1990, pp. 145165.
 79.
 Algebraic enumeration (with
I. Gessel), in Handbook of Combinatorics, vol. 2
(R. L. Graham, M. Grötschel, and L. Lovász, eds.), Elsevier,
Amsterdam, and MIT Press, Cambridge, 1995, pp. 10211061.
 80.
 Further combinatorial properties of two
Fibonacci lattices, European J. Combinatorics 11
(1990), 181188.
 81.
 A recurrence for linear extensions
(with P. Edelman and T. Hibi), Order 6 (1989), 1518.
 82.
 fvectors and
hvectors of simplicial posets, J. Pure
Appl. Alg. 71 (1991), 319331.
 83.
 A zonotope associated with graphical
degree sequences, in Applied Geometry and Discrete
Combinatorics, DIMACS Series in Discrete Mathematics, vol. 4,
1991, pp. 555570.
 84.
 Some applications of algebra to
combinatorics, Discrete Applied Math. 34 (1991),
241277.
 85.
 On the Hilbert function of a graded
CohenMacaulay domain, J. Pure Appl. Algebra 73
(1991), 307314.
 86.
 Derangements on the ncube
(with W. Y. C. Chen), Discrete Math., 115 (1993),
6475.
 87.
 On immanants of JacobiTrudi matrices
and permutations with restricted position (with J. Stembridge),
J. Combinatorial Theory (A) 62 (1993), 261279.
 88.
 A monotonicity property of
hvectors and h* vectors, European
J. Combinatorics 14 (1993), 251258.
 89.
 Subdivisions and local
hvectors, J. Amer. Math. Soc. 5 (1992),
805851.
 90.
 A combinatorial decomposition of acyclic
simplicial complexes, Discrete Math. 120 (1993),
175182.
 91.
 Review of H. S. Wilf, Generatingfunctionology,
American Mathematical Monthly 97 (1990), 864866.
 92.
 Some combinatorial aspects of the
spectra of normally distributed random matrices (with P. Hanlon and
J. Stembridge), Contemporary Mathematics 158 (1992),
151174.
 93.
 Some combinatorial properties of
Schubert polynomials (with S. Billey and W. Jockusch),
J. Algebraic Combinatorics 2 (1993), 345374.
 94.
 Schubert polynomials and the nilCoxeter
algebra (with S. Fomin), Advances in Math. 103
(1994), 196207.
 95.
 Sets of vectors with many orthogonal
pairs (with
Z. Furedi), Graphs and Combinatorics 8 (1992), 391394.
 96.
 Flag fvectors and the
cdindex, Math. Zeitschrift
216 (1994), 483499.
 97.
 The general theory of convolutional
codes (with R. J. McEliece), The Telecommunications and Data
Acquisition Progress Report 42113, JanuaryMarch 1993
(E. C. Posner, ed.), National Aeronautics and Space Administration,
Jet Propulsion Laboratory (May 15, 1993), pp. 8998.
 98.
 Flagsymmetric and locally
ranksymmetric partially ordered sets, Electronic
J. Combinatorics 3, R6 (1996), 22 pp.; reprinted in
The Foata Festschrift (J. Désarménien, A. Kerber,
and V. Strehl, eds.), Imprimerie LouisJean, Gap, 1996, pp. 165186.
 99.
 A survey of Eulerian posets, in
Polytopes: Abstract, Convex, and Computational
(T. Bisztriczky, P. McMullen, R. Schneider, A. I. Weiss, eds.), NATO
ASI Series C, vol. 440, Kluwer Academic Publishers,
Dordrecht/Boston/London, 1994, pp. 301333.
 100.
 A symmetric function generalization of
the chromatic polynomial of a graph, Advances in Math.
111 (1995),
166194. Note. Theorem 3.4
is incorrect as stated. Timothy Chow has written
an erratum. Also, the formula on
page 178 for X_{K13} is
incorrect. The coefficient of e_{4} should be 4.
 101.
 Graph colorings and related
symmetric functions: ideas and
applications, Discrete Mathematics 193 (1998),
267286 .
 102.
 Lê numbers of arrangements and
matroid identities (with
D. Massey,
R. E. Simion, D. L. Vertigan,
D. J. A. Welsh, and

G. M. Ziegler), J. Combinatorial Theory (B),
70
(1997), 118133.
 103.
 Polygon dissections and standard
Young tableaux, J.
Combnatorial Theory (A) 76 (1996), 175177.
 104.
 A matrix for counting paths in acyclic
digraphs, J. Combinatorial Theory (A), 74 (1996),
169172.
 105.
 Hyperplane arrangements,
interval orders, and trees, Proc. Nat. Acad. Sci.,
93 (1996), 26202625.
 106.
 Hipparchus, Plutarch,
Schröder, and Hough, American
Math. Monthly 104 (1997), 344350.
 107.
 Hyperplane arrangements, parking
functions, and tree inversions, in Mathematical Essays in
Honor of GianCarlo Rota (B. Sagan and R. Stanley, eds.),
Birkhäuser, Boston/Basel/Berlin, 1998, pp. 259375.
 108.
 A qdeformation of a
trivial symmetric group action (with
P. Hanlon), Trans. Amer. Math. Soc. 350 (1998),
44454459.
 109.
 Deformations of Coxeter
hyperplane arrangements (with A. Postnikov),
J. Combinatorial Theory (A) 91 (2000),
544597.
 110.

Parking functions and noncrossing partitions , Electronic
J. Combinatorics 4, R20 (1997), 14 pp.
 111.
 Flagsymmetry
of the poset of shuffles and a local action of the symmetric
group (with R. Simion),
Discrete Math. 204 (1999), 369396.
 112.
 A combinatorial miscellany
(with A. Björner), L'Enseignement Math., Monograph
No. 42, 2010.
 113.
 Enumerative Combinatorics,
vol. 2, Cambridge University Press, New York/Cambridge, 1999,
xii + 581 pages.
 114.
 Spanning trees and a conjecture of
Kontsevich, Annals of Combinatorics 2
(1998), 351363.
 115.
 Domino tilings with barriers (with J. Propp),
J. Combinatorial Theory (A) 87 (1999), 347356.
 116.
 Positivity problems and
conjectures in algebraic combinatorics , in Mathematics:
Frontiers and Perspecives
(V. Arnold, M. Atiyah, P. Lax, and B. Mazur, eds.), American
Mathematical Society, Providence, RI, 2000, pp. 295319.
 117.
 A polytope related to empirical
distributions, plane trees,
parking functions, and the associahedron (with J. Pitman),
Discrete Comput. Geom., 27 (2002), 603634.
 118.
 A generalized riffle shuffle and
quasisymmetric functions, Ann. Combinatorics,
5 (2001), 479491.
 119.
 A note on the symmetric powers of
the standard representation of S_{n} (with David
Savitt), Electronic J. Combinatorics
7, R6 (2000), 8 pp.
 120.
 Rodica Simion, January 18, 1955
 January 7, 2000, Pi Mu Epsilon Journal
11 (2000), 8386.
 121.
 Recent progress in algebraic
combinatorics, Bull. Amer. Math. Soc. 40 (2003),
5568.
 122.
 On the enumeration of skew Young
tableaux, Advances in Applied Math. 30 (2003),
283294; math.CO/0106115.
 123.
 The rank and minimal border strip
decompositions of a skew partition, J. Combinatorial Theory
(A) 100 (2002), 349375.
 124.
 Irreducible symmetric group
characters of rectangular shape, Sém. Lotharingien
de Combinatoire (electronic) 50 (2003),
B50d.
 125.
 Rodica Simion and shuffle
posets, Advances in Applied Math. 28
(2002), 282284.
 126.
 Some remarks on signbalanced
and majbalanced posets, Advances in Applied Math.
34 (2005), 880902.
 127.
 A map on the space of rational
functions
(with G. Boros, J.
Little, V. Moll, and E. Mosteig),
Rocky Mountain J. Math. 35 (2005), 18611880.
 128.
 The mathematical knight
(with
N. Elkies),
Math. Intelligencer 25, no. 1 (Winter 2003),
2235.
 129.
 Recent developments in
algebraic combinatorics, Israel J. Math.
143 (2004), 317340.
 130.
 A superclass walk on
uppertriangular matrices (withE. AriasCastro and P. Diaconis),
J. Algebra 278 (2004), 739765.
 131.
 Properties of some
character tables related to the symmetric groups (with C. Bessenrodt
and J. Olsson),
J. Algebraic Combinatorics 21 (2005),
163177.
 132.
 Bottom Schur functions
(with P. Clifford),
Electronic J. Combinatorics 11(1), R67.
 133.
 Coefficients and roots of
Ehrhart polynomials (with M. Beck, J. De Loera,
M. Develin, and J. Pfeifle),
Contemp. Math., 374 (2005), 1536;
math.CO/0402148.
 134.
 Tilings
(with F.
Ardila), Math. Intelligencer, 32 (2010),
3243. German
translation by Günter Ziegler
entitled "Pflasterungen" in Math. Semesterber.
53 (2006), 1743. Spanish translation by Federico
Ardila in Gac. R. Soc. Mat. Esp. 14 (2011),
463490.
 135.
 Crossings and nestings of
matchings and partitions
(with William
Y. C. Chen (陈永川), Eva Y. P. Deng
(邓玉平), Rosena
R. X. Du (杜若霞), and Catherine
H. Yan (颜华菲)),
Trans. Amer. Math. Soc. 359 (2007),
15551575.
 136.
 Ordering events in Minkowski
space, Advances in Applied Math. 37
(2006), 514525..
 137.
 Chains in the Bruhat order
(with
Alexander Postnikov),
J. Algebraic Combinatorics 29 (2009),
133174.
 138.
 Queue problems
revisited, Suomen
Tehtäväniekat 59, no. 4 (2005),
193203.
 139.
 The descent set and
connectivity set of a permutation, J. Integer
Sequences 8 (2005), article 05.3.8.
 140.
 An analogue of Young's
lattice for compositions (with Anders Björner),
preprint.
 141.
 Longest alternating
subsequences of permutations, Michigan Math. J.
57 (2008), 675687.
 142.
 Increasing and decreasing
subsequences and their variants,
Proc. Internat. Cong. Math. (Madrid, 2006), vol. 1, American
Mathematical Society, Providence, RI, 2007, pp. 545579.
 143.
 Alternating permutations
and symmetric functions, J. Combinatorial Theory
(A) 114 (2007), 436460.
 144.
 A conjectured combinatorial
interpretation of the normalized irreducible character values of the
symmetric group, preprint.
 145.
 An introduction to
hyperplane arrangements, in Geometric
Combinatorics (E. Miller, V. Reiner, and B. Sturmfels, eds.),
IAS/Park City Mathematics Series, vol.13, American Mathematical
Society, Providence, RI, 2007, pp. 389496.
 146.
 Pairs of noncrossing free Dyck
paths and noncrossing partitions (with W. Y. C. Chen
(陈永川), S. X. M. Pang (庞兴梅),
and Ellen X. Y. Qu (曲晓英)),
Discrete Math. 309 (2009), 28342838.
 147.
 Promotion and evacuation,
Electronic J. Combinatorics, vol. 15(2) (20082009), R9.
 148.
 Some combinatorial
properties of hooks, contents, and parts of partitions,
Ramanujan J. 23 (2010), 91105.
 149.
 Some Hecke algebra products
and corresponding random walks (with Rosena R. X. Du
(杜若霞)), J. Algebraic
Combinatorics 31 (2010), 159168.
 150.
 Two enumerative results on
cycles of permutations, Europ. J. Combinatorics
32 (2011), 937943.
 151.
 Polynomial coefficient
enumeration (with Tewodros
Amdeberhan), preprint.
 152.
 A survey of alternating
permutations, Contemporary
Mathematics 531 (2010), 165196.
 153.

Permutations,
unpublished notes for 2010
AMS Colloquium
Lectures.
 154.
 Formulae for
AskeyWilson moments and enumeration of staircase tableaux (with
S. Corteel, D. Stanton, and L. Williams), preprint.
 155.
 An equivalence relation
on the symmetric group and multiplicityfree
flag hvectors, J. Combinatorics 3
(2012), 277298.
 156.
 Orientations, lattice
polytopes, and group arrangements II: Modular
and integral flow Polynomials of graphs (with Beifang
Chen), Graphs and Combinatorics 28
(2012), 751779.
 157.
 Two remarks on skew tableaux,
Electronic J. Combinatorics, vol. 18(2) (201112), P16.
 158.
 Separation probabilities for
products of permutations (with
Olivier Bernardi, Rosena R. X. Du, and Alejandro
H. Morales), Combinatorics, Probability and
Computing 23 (2014), 201222.
 159.
 On the rank function of a
differential poset (with F. Zanello),
Electronic J. Combinatorics, vol. 19(2) (2012), P13.
 160.
 Counting conjugacy classes of
elements of finite order in Lie groups (with Tamar Friedmann),
Europ. J. Combinatorics, 36 (2014),
8696.
 161.
 The string landscape: on
formulas for counting vacua (with Tamar Friedmann), Nuclear
Physics B 869 (2013), 7488.
 162.
 Unimodality of partitions
with distinct parts inside Ferrers shapes (with Fabrizio
Zanello), Europ. J. Combinatorics 49
(2015), 194202.
 163.
 Some asymptotic results
on qbinomial coefficients (with Fabrizio
Zanello), Ann. Comb. 20 (2016),
623634.
 164.
 Valid orderings of real
hyperplane arrangements, Discrete and Computational
Geometry 53 (2015), 951964.
 165.
 Catalan Numbers, Cambridge University Press,
2015.
 166.
 Smith normal form of a
multivariate matrix associated with partitions (with Christine
Bessenrodt), Journal of Algebraic Combinatorics, to appear.
 167.
 How the Upper Bound Conjecture
was proved, Ann. Combinatorics 18
(2014), 533539.
 168.
 A formula for the
specialization of skew Schur functions (with Xiaomei Chen),
Annals of Combinatorics 20 (2016),
539548.
 169.
 The Catalan
case of Armstrong's conjecture on simultaneous core partitions
(with Fabrizio Zanello), SIAM J. Discrete Math., to
appear.
 170.
 A distributive lattice
connected with arithmetic progressions of length three (with
Fu Liu (刘拂)), Ramanujan J., to appear.
 171.
 The Smith normal form of a
matrix associated with Young's lattice (with Tommy Wuxing Cai
(蔡 吴
兴)), Proc. Amer. Math. Soc. 143
(2015), 46954703.
 172.
 Supersolvability
and freeness for ψgraphical arrangements (with Lili Mu
(牟丽丽)), Discrete and Computational
Geometry, 53 (2015), 965970.
 173.
 The Smith normal form
distribution of a random integer matrix (with Yinghui Wang
(王颖慧)), SIAM J. Discrete
Math. 31 (2017), 22472268.
 174.
 Smith normal form in
combinatorics, J. Combinatorial Theory
(A), 144, 476495.
 175.
 A refined enumeration of
hex trees and related polynomials (with Hana
Kim), Europ. J. Combinatorics 54 (2016),
207219.
 176.
 The Smith normal form of
a specialized JacobiTrudi matrix, European
J. Combinatorics 62 (2017), 178182.
 177.
 Some aspects of
(r,k)parking functions (with Yinghui Wang
(王颖慧)), J. Combinatorial Theory
(A) 159 (2018), 5478.
 178.

A generalization of a 1998 unimodality
conjecture of Reiner and Stanton (with Fabrizio
Zanello), Journal of Combinatorics 11
(2020), 111126.
 179.
 Proof of
the Gorenstein Interval Conjecture
in low socle degree (with Sun Gi Park and Fabrizio
Zanello), J. Algebra 523 (2019),
192200.
 180.
 A note on the asymptotics of the number of
Osequences of given length (with Fabrizio Zanello), Discrete
Math. 342 (2019), 20332034.
 181.
 Some Schubert shenanigans,
arXiv:1704.00851.
 182.
 Irrational triangles with polynomial Ehrhart functions
(with D. CristofaroGardiner and T. X. Li
(李雪珊)), Discrete &
Computational Geometry 61 (2019), 227246.
 183.
 Some linear recurrences motivated by Stern's
diatomic array, Amer. Math. Monthly 127
(2020), 99111.
 184.
 Enumerative
and algebraic combinatorics in the 1960's and 1970's,
ICCM Notices 9 (2021), 1938.
 185.
 Theorems
and conjectures on some rational generating
functions, Europ. J. Combinatorics 119
(2024), 103814; arXiv:2101.02131.
 186.
 On a generalization of Lie(k): A
CataLAnKe theorem (with T. Friedmann, P. Hanlon, and
M. Wachs), Advances in Math. 380 (2021).
 187.
 Some linear transformations on symmetric functions arising from
a formula of Thiel and Williams (with Teresa Xueshan Li and
Lili Mu), Enumerative Combinatorics and Applications
3 (2023), Article S2R24.
 188.
 Some enumerative properties of parking functions
(with Mei Yin),
arXiv:2306.08681.
 189.
 The RedeiBerge symmetric function of a directed
graph (with Darij Grinberg),
arXiv:2307.05569.
 190.
 A Fibonacci array.
Click here for a
discussion of my papers that appears
in The Mathematical
Legacy of Richard P. Stanley.
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