A survey of subdivisions and local
h-vectors,
preprint, March 2014, 13 pages.
Edgewise subdivisions, local
h-polynomials and excedances in the wreath product
Zr ≀ Sn,
SIAM Journal
on Discrete Mathematics 28 (2014), 1479-1492.
The absolute order of a permutation representation of
a Coxeter group
(with Y. Roichman),
Journal of Algebraic
Combinatorics 39 (2014), 75-98.
Flag subdivisions and γ-vectors,
Pacific
Journal of Mathematics 259 (2012), 257-278.
The local h-vector of the cluster subdivision of a simplex
(with C. Savvidou),
Séminaire Lotharingien de
Combinatoire 66 (2012), Article B66c, 21pp (electronic).
On the Möbius function of a lower Eulerian
Cohen-Macaulay poset,
Journal
of Algebraic Combinatorics 35 (2012), 373-388.
Cubical subdivisions and local h-vectors,
Annals of
Combinatorics 16 (2012), 421-448.
On the flag f-vector of a graded lattice with nontrivial
homology,
Order
30 (2013), 249-254.
Buchsbaum* complexes
(with V.
Welker),
Mathematische Zeitschrift 272 (2012), 131-149.
Functions of random walks on hyperplane
arrangements
(with P.
Diaconis),
Advances in Applied Mathematics 45 (2010), 410-437.
Some combinatorial properties of flag simplicial
pseudomanifolds and spheres,
Arkiv för
matematik 49 (2011), 17-29.
On the graph connectivity of skeleta of
convex polytopes,
in `Victor Klee Festschrift' (P. Gritzmann, B. Sturmfels and G.M.
Ziegler, eds.), Discrete
and Computational Geometry 42 (2009), 155-165.
The absolute order on the symmetric group,
constructible partially ordered sets and Cohen-Macaulay complexes
(with M. Kallipoliti),
Journal of Combinatorial Theory Series A 115 (2008), 1286-1295.
A combinatorial reciprocity theorem for hyperplane
arrangements,
Canadian Mathematical
Bulletin 53 (2010), 3-10.
Shellability and higher Cohen-Macaulay
connectivity of generalized cluster complexes
(with E.
Tzanaki),
Israel Journal of
Mathematics 167 (2008), 177-191.
h-Vectors
of generalized associahedra and noncrossing partitions
(with T. Brady,
J. McCammond and
C.
Watt),
International
Mathematics Research Notices vol. 2006, Article 69705, 28pp.
On some enumerative aspects of generalized
associahedra,
European Journal of Combinatorics 28 (2007), 1208-1215.
On the enumeration of positive cells in generalized
cluster complexes and Catalan hyperplane arrangements
(with E.
Tzanaki),
Journal
of Algebraic Combinatorics 23 (2006), 355-375.
Shellability of noncrossing partition lattices
(with T. Brady and
C.
Watt),
Proceedings of the American
Mathematical Society 135 (2007), 939-949.
h*-Vectors, Eulerian polynomials and stable
polytopes of graphs,
in `Stanley Festschrift' (B.E. Sagan, ed.),
Electronic Journal of
Combinatorics 11 (2004), Research Paper 6, 13pp (electronic).
Ehrhart polynomials, simplicial polytopes,
magic squares and a conjecture of Stanley,
Journal für
die reine und angewandte Mathematik 583 (2005), 163-174.
Noncrossing partitions for the group
Dn (with
V. Reiner ),
SIAM Journal
on Discrete Mathematics 18 (2004), 397-417.
On a refinement of the generalized Catalan numbers
for Weyl groups,
Transactions of the American
Mathematical Society 357 (2005), 179-196.
Generalized Catalan numbers, Weyl groups and
arrangements of hyperplanes,
Bulletin of the London Mathematical Society 36 (2004), 294-302.
Decompositions and connectivity of matching and
chessboard complexes,
Discrete
and Computational Geometry 31 (2004), 395-403.
Monotone paths on zonotopes and oriented matroids
(with F. Santos),
Canadian Journal of Mathematics 53 (2001), 1121-1140.
On the topology of the Baues poset of polyhedral
subdivisions
(with F. Santos),
Topology 41 (2002), 423-433.
Zonotopal subdivisions of cyclic zonotopes,
Geometriae
Dedicata 86 (2001), 37-57.
Projections of polytopes on the plane and the
generalized Baues problem,
Proceedings of the American
Mathematical Society 129 (2001), 2103-2109.
Monotone paths on polytopes
(with P.H.
Edelman and
V. Reiner ),
Mathematische Zeitschrift 235 (2000), 315-334.
Deformations of Coxeter hyperplane arrangements
and their characteristic polynomials,
in `Arrangements - Tokyo 1998' (M. Falk and H. Terao, eds.),
Advanced Studies in Pure Mathematics 27, Kinokuniya, Tokyo,
2000, pp. 1-26.
The generalized Baues problem for cyclic
polytopes II
(with J. Rambau and
F. Santos),
in `Geometric Combinatorics'
(S. Vrecica and R. Zivaljevic, eds.),
Publ. De l'Institut
Mathematique (Belgrade) (N.S) 66(80) (1999), 3-15.
The largest intersection lattice of a discriminantal
arrangement,
Contributions to Algebra
and Geometry
40 (1999), 283-289.
Fiber polytopes for the projections between
cyclic polytopes
(with J.A. De
Loera, V. Reiner
and F. Santos),
in `Combinatorics of Polytopes' (K. Fukuda and G.M. Ziegler, eds.),
European Journal of Combinatorics 21 (2000), 19-47.
On noncrossing and nonnesting partitions for
classical reflection groups,
Electronic Journal of
Combinatorics 5 (1998), Research Paper 42, 16pp (electronic).
Extended Linial hyperplane arrangements for
root systems and a conjecture of Postnikov and Stanley,
Journal
of Algebraic Combinatorics 10 (1999), 207-225.
A simple bijection for the regions of the Shi
arrangement of hyperplanes
(with S. Linusson),
Discrete
Mathematics 204 (1999), 27-39.
A class of labeled posets and the Shi arrangement
of hyperplanes,
Journal of Combinatorial Theory Series A 80 (1997), 158-162.
Piles of cubes, monotone path polytopes and
hyperplane arrangements,
Discrete
and Computational Geometry 21 (1999), 117-130.
On free deformations of the braid arrangement,
European Journal of Combinatorics 19 (1998), 7-18.
Characteristic polynomials of subspace arrangements
and finite fields,
Advances in Mathematics 122 (1996), 193-233.
On Hanlon's eigenvalue conjecture
(with R.M. Adin),
Journal of Combinatorial Theory Series A 73 (1996), 360-367.
Iterating the branching operation on a directed graph,
Journal
of Graph Theory 24 (1997), 257-265.
Spectra of some interesting combinatorial
matrices related to oriented spanning trees on a directed graph,
Journal of
Algebraic Combinatorics 5 (1996), 5-11.