Recent preprints of Michelle Wachs

Eulerian quasisymmetric functions and poset topology
(with John Shareshian, 76 pages)



On Sequentially Cohen-Macaulay Complexes and Posets
(with Anders Bj\"orner and Volkmar Welker, Israel J. Math, to appear, 19 pages)



q-Eulerian Polynomials: Excedance Number and Major Index
(with John Shareshian, Electron. Res. Announc. Amer. Math. Soc. 13 (2007), 33-45. )



Poset Topology: Tools and Applications
(Geometric combinatorics, 497-615, IAS/Park City Math. Ser., 13, Amer. Math. Soc., Providence, RI, 2007)



Torsion in the Matching Complex and Chessboard Complex
(with John Shareshian, Advances in Math. 212 (2007), 525-570)



Poset Fiber Theorems
(with Anders Bj\"orner and Volkmar Welker, Trans. AMS , 357 (2005), 1877-1899)



Topology of Matching, Chessboard and General Bounded Degree Graph Complexes
(Algebra Universalis Special Issue in Memory of Gian-Carlo Rota, Algebra Universalis, 49 (2003) 345-385)



On the Property M Conjecture for the Heisenberg Lie Algebra
(with Phil Hanlon, J. Combin. Th. A, 99 (2002) 12 pages)



Geometrically Constructed Basis for Homology of Partition Lattices of Types A,B and D
(with Anders Bj\"orner, Electronic J. Combinatorics 11 (2004), 29 pages)



Homology of Matching and Chessboard Complexes - Extended Abstract
(with John Shareshian, FPSAC/01, 7 pages)



Combinatorial Laplacian of the Matching Complex
(with Xun Dong, Electronic J. of Combin., 9 (2002) 11 pages)



Matching complexes, bounded degree graph complexes and weight spaces of GL_n-complexes
(with Dikran B. Karaguezian and Victor Reiner, J. Algebra, 239 (2001) 77-92)



Cohomology of Dowling lattices and Lie (super)algebras
(with E. Gottlieb, Advances in Applied Math. 24(2000) 301-336)



A Few Pre-2000 Papers

Obstructions to shellability
(Discrete and Computational Geometry 22(1999) 95-103)



Whitney homology of semipure shellable posets
( J. Algebraic Combinatorics 9(1999) 173-307)



On the (co)homology of the partition lattice and the free Lie algebra
( Selected papers in honor of Adriano Garsia (Taormina, 1994), Discrete Math, 193 (1998) 287-319)



Shellable nonpure complexes and posets, II
(with A. Bj\"orner, Trans. AMS, 349(1997) 3945-3975)



Shellable nonpure complexes and posets, I
(with A. Bj\"orner, Trans. AMS, 348(1996) 1299-1327)



The homology representations of the k-equal partition lattice
(with S. Sundaram, Trans. AMS, 349(1997) 935-954)



On q-derangement numbers
(Proc. AMS, 106(1989) 273-278)




This material is based upon work supported by the National Science Foundation under Grants DMS 8503700, DMS 9102760, DMS 9311805, DMS 9701407, DMS 0073760, DMS 0302310, DMS 0604562.

Last modified: April 2007