Recent (and not-so-recent) papers

Preprint versions, pdf files

  • A cell complex in number theory
    Preprint 2009 (16 pp)
    Advances in Appl. Math. 46 (2011), 71--85.
    (Also at http://arXiv.org/abs/1101.5704 )

  • Connectivity of chamber graphs of buildings and related complexes (with K. Vorwerk)
    Preprint 2009 (14 pp)
    Europ. J. Combinatorics 31 (2010), 2149--2160.
    (Also at http://arXiv.org/abs/0907.0325 )

  • A q-analogue of the FKG inequality and some applications
    Preprint 2009 (11 pp)
    Combinatorica 31 (2011), 151--164.
    (Also at http://arXiv.org/abs/0906.1389 )

  • Note: Random-to-front shuffles on trees
    Preprint 2008 (6 pp)
    Electronic Comm. in Probability 14 (2009), 36--41.
    (Also at http://arXiv.org/abs/0901.4278 )

  • Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries
    Preprint 2008 (30 pp)
    In "Building bridges --- the Lov'asz Festschrift" (eds. M. Groetschel and G. O. H. Katona),
    Bolyai Soc. Math. Studies 19 (2008), Springer, Berlin and Budapest, pp. 165--203.
    (Also at http://arXiv.org/abs/0805.0083 )

  • Appendix to "Hyperplane arrangements and box splines" by C. De Concini and C. Procesi
    Preprint 2007 (4 pp)
    Michigan Math. Journal 57 (2008), 221--225.

  • On sequentially Cohen-Macaulay complexes and posets (with M. Wachs and V. Welker)
    Preprint 2007 (19 pp)
    Israel Journal of Mathematicss 169 (2009), 295--316.
    (Also at http://arXiv.org/math/0702788 )

  • Combinatorial Alexander duality --- a short and elementary proof (with M. Tancer)
    Preprint 2007 (7 pp)
    Discrete and Computational Geometry 42 (2009), 586--593.
    (Also at http://arXiv.org/abs/0710.1172

  • A comparison theorem for $f$-vectors of simplicial polytopes
    Preprint 2006 (8 pp)
    Pure and Applied Mathematics Quarterly 3 (2007), 347--356.
    (Also at http://arXiv.org/math/0605336 )

  • Rationality of the M\"obius function of a composition poset (with B. E. Sagan)
    Preprint 2005 (20 pp)
    Theoretical Computer Science 359 (2006), 282--298.
    (Also at http://arXiv.org/math/0510282 )

  • On the shape of Bruhat intervals (with T. Ekedahl)
    Preprint 2005 (15 pp)
    Annals of Mathematics 170:2 (2009), 799--817.
    (Also at http://arXiv.org/math/0508022 )

  • Topological Combinatorics
    Slides from lecture given at the R. MacPherson 60th birthday symposium,
    IAS, Princeton, October 2004.

  • Chain polynomials of distributive lattices are 75 % unimodal (with J. D. Farley)
    Preprint 2004 (7 pp)
    Electronic Journal of Combinatorics 12 (2005), N4.
    (Also at http://arXiv.org/math/0411610 )

  • A note on blockers in posets (with A. Hultman)
    Preprint 2004 (11 pp)
    Annals of Combinatorics 8 (2004), 123--131.
    (Also at http://arXiv.org/math/0403094 )

  • Subspace arrangements defined by products of linear forms (with I. Peeva and J. Sidman)
    Preprint 2003 (20 pp)
    Journal of the London Math. Society 71 (2005), 273--288.
    (Also at http://arXiv.org/math/0401373 )

  • Bier spheres and posets (with A. Paffenholz, J. Sj\"ostrand and G. M. Ziegler)
    Preprint 2003 (15 pp)
    Discrete and Computational Geometry 34 (2005), 471--86.
    (Also at http://arXiv.org/math/0311356 )

  • Segre and Rees products of posets, with ring-theoretic applications (with V. Welker)
    Preprint 2003 (12 pp) Journal of Pure and Applied Algebra 198 (2005), 43--55.
    (Also at http://arXiv.org/math/0312516 )

  • Poset fiber theorems (with M. Wachs and V. Welker)
    Preprint 2002 (30 pp)
    Trans. Amer. Math. Soc., 357 (2004), 1877--1899.

  • Nerves, fibers and homotopy groups,
    Preprint 2002 (6 pp)
    J. Combinatorial Theory, Ser. A, 102 (2003), 88--93.

  • Neighborhood complexes of stable Kneser graphs (with M. de Longueville)
    Preprint 2001 (12 pp)
    Combinatorica 23 (2003), 23--34.

  • Geometrically constructed bases for homology of partition lattices of types $A$, $B$ and $D$ (with M. Wachs)
    Preprint 2001 (29 pp) (Also at http://arXiv.org/abs/math/0401006 )
    Electronic Journal of Combinatorics 11 (2) (2004), #R3.

  • Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincare homology 3-sphere (with F. H. Lutz)
    Preprint 1999 (22 pp)
    Experimental Mathematics 21 (2000), 275--289.

  • Face numbers of Scarf complexes
    Preprint 1998 (12 pp)
    Discrete and Computational Geometry 24 (2000), 185--196.

  • A combinatorial miscellany (with R. P. Stanley)
    Preprint 1998 (93 pp)

  • Complexes of directed graphs (with V. Welker)
    Preprint 1998 (13 pp)
    SIAM Journal on Discrete Mathematics 12 (1999), 413--424.

  • Complexes of not $i$-connected graphs (with E. Babson, S. Linusson, J. Shareshian and V. Welker)
    Preprint 1997 (28 pp)
    Topology 38 (1999), 271--299.

  • The number of k-faces of a simple d-polytope (with S. Linusson)
    Preprint 1997 (16 pp)
    Discrete and computational geometry 21 (1999), 1--16.

  • Subspace arrangements over finite fields (with T. Ekedahl)
    Preprint 1996 (26 pp)
    Advances in Mathematics 129 (1997), 159--187.

  • Topological Methods
    in ``Handbook of Combinatorics'' (eds. R. Graham, M. Gr\"otschel and L. Lov\'asz),
    North-Holland, Amsterdam, 1995, pp. 1819--1872.