Preprints and publications
- A geometric deletion-restriction formula, with M. Garrousian and M. Schulze.
arXiv:1110.2799, to appear in Advances in Mathematics.
- Local cohomology of logarithmic forms, with H. Schenck,
M. Schulze, U. Walther,
M.
Wakefield.
arXiv:1103.2459,
to appear in Annales de l'Institut Fourier.
- Vanishing products of one-forms and critical points of master
functions, with D. Cohen,
M. Falk, A. Varchenko,
arXiv:1010.3743,
to appear in Advanced Studies in Pure Mathematics.
- Eigenvectors for a random walk on a hyperplane arrangement, to
appear in Advances in Applied Mathematics.
arXiv:1010.0232
| ps | pdf | Journal
- Complexes, duality and Chern classes of logarithmic forms along
hyperplane arrangements,
with Mathias Schulze,
to appear in Advanced Studies in Pure Mathematics.
arXiv:1004.4237 | ps
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- Homological aspects of hyperplane arrangements, in Arrangements,
Local Systems and Singularities,
in Arrangements, Local Systems and Singularities,
CIMPA Summer School, Galatasaray University, Istanbul, 2007,
El Zein, F.; Suciu, A.I.; Tosun, M.; Uludag, M.; Yuzvinsky, S. (eds.),
Progress in Mathematics vol. 283, 2010, Birkhäuser.
ps
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- Critical points and resonance of hyperplane arrangements, with D. Cohen, M. Falk, A. Varchenko, Canadian
Journal of Mathematics, 63 (2011) no. 5, 1038-1057.
arXiv:0907.0896v2 |
Journal
- A note on De Concini and Procesi's curious identity, Rendiconti
Lincei 19 (2008), no. 1, 59--63.
ps
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- Moment-angle complexes, monomial ideals, and Massey products,
with A. Suciu,
Pure and Applied Mathematics Quarterly 3 (2007), no. 1, part 3, 25--60.
math.AT/0512497
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- On the homotopy Lie algebra of an arrangement, with A. Suciu,
Michigan Math. Journal, 54 (2006) no. 2, 319--340.
math.AT/0502417
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- Short Generating Functions for some Semigroup Algebras,
Electronic Journal of Combinatorics, 10 (2003) #R36.
Journal
- Torsion in Milnor fibre homology, with D. Cohen and A. Suciu,
Algebraic and Geometric Topology, 3 (2003) 511--535.
postscript
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pdf
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- Equivariant Euler characteristics of disciminants of reflection
groups,
with N. Lemire,
Indagationes Mathematicae, N.S., 13 (2002) no. 4, 441--457.
postscript
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- Annihilators of ideals of exterior algebras, with S. Yuzvinsky, Advances
in Applied Mathematics, 28 (2002) no. 2, 231--249.
postscript | dvi
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- The Orlik-Solomon complex and Milnor fibre homology,
Topology and its Applications 118 (2002) 45-63.
Journal
- The combinatorial Laplacian of the Tutte complex, Journal of
Algebra 242, (2001) 160-175.
postscript
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- Hanlon and Stanley's conjecture and the Milnor fibre of the braid
arrangement, Journal of Algebraic Combinatorics 11 (2000) 227-240.
Journal
- Some algebraic properties of the Schechtman-Varchenko bilinear
forms,
with P. Hanlon, in New Perspectives in Algebraic Combinatorics,
Billera,
Bjorner, Greene, Simion, Stanley eds., MSRI publications 1999.
Manuscripts under construction
- Homology of subgroups of right-angled Artin groups,
preprint, math.GR/0612748.
Right now, here is a more recent version: ps
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