%% bibtex-file{
%%   author             = {Alexander I. Suciu},
%%   date               = {February 7, 2012},
%%   filename           = {Suciu.bib},
%%   url                = {http://www.math.neu.edu/~suciu/Suciu.bib},
%%   www-home           = {http://www.math.neu.edu/~suciu/},
%%   address            = {Department of Mathematics,
%%                         Northeastern University,
%%                         360 Huntington Avenue,
%%                         Boston, MA 02115,
%%                         United States of America},
%%   telephone          = {+1 617 373 3899},
%%   fax                = {+1 617 373 5658},
%%   MR                 = {168600},
%%   genealogy          = {37530},
%%   ftp-archive        = {http://www.math.neu.edu/~suciu/papers/},
%%   email              = {a [dot] suciu [at] neu [dot] edu},
%%   dates              = {1984--},
%%   supported          = {yes},
%%   supported-by       = {a [dot] suciu [at] neu [dot] edu},
%%   abstract           = {Bibliography for Alexander I. Suciu}}

%  ======================================================

@unpublished {Suciu:ais11b,
 author    = {Suciu, Alexander I.},
 title     = {Characteristic varieties and {B}etti numbers of free abelian covers},
 note      = {preprint, November 2011},
   MRCLASS = {14F35, 55N25 (20J05, 32S22, 57M07, 57M12)},
 keywords  = {Free abelian cover, characteristic variety, exponential tangent cone, 
{D}wyer--{F}ried set, special {S}chubert variety, translated subtorus, 
{K}{\"{a}}hler manifold, quasi-{K}{\"{a}}hler manifold, hyperplane arrangement, 
property ${\rm FP}_n$.},
 abstract  = {The regular $\Z^r$-covers of a finite cell complex $X$ are parameterized 
by the Grassmannian of $r$-planes in $H^1(X,\Q)$. Moving about this variety, and 
recording when the Betti numbers $b_1,\dots, b_i$ of the corresponding covers are 
finite carves out certain subsets $\Omega^i_r(X)$ of the Grassmannian.  

We present here a method, essentially going back to Dwyer and Fried, for computing these 
sets in terms of the jump loci for homology with coefficients in rank~$1$ local systems 
on $X$.  Using the exponential tangent cones to these jump loci, we show that each 
$\Omega$-invariant is contained in the complement of a union of Schubert varieties 
associated to an arrangement of linear subspaces in $H^1(X,\Q)$. 

The theory can be made very explicit in the case when the characteristic varieties of 
$X$ are unions of translated tori.  But even in this setting, the $\Omega$-invariants 
are not necessarily open, not even when $X$ is a smooth complex projective variety.  
As an application, we discuss the geometric finiteness properties of some classes 
of groups.},
     arxiv = {http://arxiv.org/abs/1111.5803},
      gsid = {4037310650460849423}
}

@unpublished {Suciu:syz11,
 author    = {Suciu, Alexander I. and Yang, Yaping and Zhao, Gufang},
 title     = {Intersections of translated algebraic subtori},
   MRCLASS = {20G20 (18B35, 20E15, 55N25)},
 keywords  = {Complex algebraic torus, {P}ontrjagin duality, 
lattice of subgroups, primitive subgroup, translated algebraic 
subgroup, determinant group, characteristic variety, 
fibered category}, 
 abstract  = {We exploit the classical correspondence
between finitely generated abelian groups and abelian complex
algebraic reductive groups to study the intersection theory of
translated subgroups in an abelian complex algebraic reductive 
group, with special emphasis on intersections of (torsion) 
translated subtori in an algebraic torus.},
     arxiv = {http://arxiv.org/abs/1109.1023},
     gsid  = {10943220494671999175}
}

@unpublished {Suciu:ais11a,
 author    = {Suciu, Alexander I.},
 title     = {Geometric and homological finiteness in free abelian covers},
 note      = {preprint July 2011, revised December 2011 (to appear)},
   MRCLASS = {20J05 (20F36, 32S22, 55N25, 57M07)},
 keywords  = {{B}ieri--{N}eumann--{S}trebel--{R}enz invariant, free abelian cover, 
{D}wyer--{F}ried invariant, characteristic variety, exponential tangent cone, 
resonance variety, toric complex, quasi-projective variety, configuration space, 
hyperplane arrangement},
 abstract  = {We describe some of the connections between the 
{B}ieri--{N}eumann--{S}trebel--{R}enz invariants, the {D}wyer--{F}ried invariants, 
and the cohomology support loci of a space $X$. Under suitable hypotheses, the 
geometric and homological finiteness properties of regular, free abelian covers 
of $X$ can be expressed in terms of the resonance varieties, extracted from the 
cohomology ring of $X$. In general, though, translated components in the 
characteristic varieties affect the answer.  We illustrate this theory in 
the setting of toric complexes, as well as smooth, complex projective 
and quasi-projective varieties, with special emphasis on configuration 
spaces of {R}iemann surfaces, and complements of hyperplane arrangements.},
    arxiv = {http://arxiv.org/abs/1112.0948}
}

@unpublished {Suciu:ps10,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {Homological finiteness in the {J}ohnson filtration of 
 the automorphism group of a free group},
   MRCLASS = {20E36, 20J05 (20F14, 20G05, 55N25)},
 keywords  = {Automorphism group of free group, {T}orelli group, 
{J}ohnson filtration, {J}ohnson homomorphism, resonance variety, 
characteristic variety, {A}lexander invariant}, 
 abstract  = {We examine the Johnson filtration of the (outer) automorphism group 
of a finitely generated group. In the case of a free group, we find a 
surprising result: the first {B}etti number of the second subgroup in 
the {J}ohnson filtration is finite. Moreover, the corresponding 
{A}lexander invariant is a non-trivial module over the Laurent 
polynomial ring. In the process, we show that the first 
resonance variety of the outer {T}orelli group of a free group 
is trivial.  We also establish a general relationship between 
the {A}lexander invariant and its infinitesimal counterpart.},
     arxiv = {http://arxiv.org/abs/1011.5292}
}

@article {Suciu:ais12,
 author    = {Suciu, Alexander I.},
 title     = {Resonance varieties and {D}wyer-{F}ried invariants},
    SERIES = {Adv. Stud. Pure Math.},
   FSERIES = {Advanced Studies in Pure Mathematics}, 
 BOOKTITLE = {Arrangements of Hyperplanes---Sapporo 2009},
    VOLUME = {62},
     PAGES = {359-398},
 PUBLISHER = {Kinokuniya},
   ADDRESS = {Tokyo},
      YEAR = {2012},
    EDITOR = {Hiroaki Terao and Sergey Yuzvinsky}, 
   MRCLASS = {20J05, 55N25 (14F35, 32S22, 55R80, 57M07)},
  MRNUMBER = {},
MRREVIEWER = {},
 ZBLNUMBER = {},
ZBREVIEWER = {},
 keywords  = {Free abelian cover, characteristic variety, resonance variety, tangent cone, 
{D}wyer--{F}ried set, special {S}chubert variety, toric complex, {K}{\"{a}}hler manifold, 
hyperplane arrangement},
 abstract  = {The {D}wyer--{F}ried invariants of a finite cell complex $X$ are the subsets 
 $\Omega^i_r(X)$ of the {G}rassmannian of $r$-planes in $H^1(X,\Q)$ which parametrize the 
regular $\Z^r$-covers of $X$ having finite {B}etti numbers up to degree~$i$. In previous 
work, we showed that each $\Omega$-invariant is contained in the complement of a union 
of {S}chubert varieties associated to a certain subspace arrangement in $H^1(X,\Q)$. 
Here, we identify a class of spaces for which this inclusion holds as equality.  
For such ``straight" spaces $X$, all the data required to compute the $\Omega$-invariants 
can be extracted from the resonance varieties associated to the cohomology ring $H^*(X,\Q)$. 
In general, though, translated components in the characteristic varieties affect the answer.},
     arxiv = {http://arxiv.org/abs/1111.4534},
      gsid = {13261373504940347779}
}

@article {Suciu:mz11,
 author    = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
 title     = {Quasi-{K}{\"{a}}hler groups, 3-manifold groups, and formality},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {268},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {169--186},
   MRCLASS = {14F35, 20F34, 57N10 (55N25, 55P62)},
  MRNUMBER = {2805428},
MRREVIEWER = {},
 ZBLNUMBER = {1228.14018},
ZBREVIEWER = {Aleksandr G. Aleksandrov},
  keywords = {Quasi-{K}{\"{a}}hler manifold, $3$-manifold, cut number, isolated surface 
singularity, $1$-formal group, cohomology ring, characteristic variety, resonance variety},
  abstract = {In this note, we address the following question: Which $1$-formal groups 
occur as fundamental groups of both quasi-{K}{\"{a}}hler manifolds and closed, connected, 
orientable $3$-manifolds. We classify all such groups, at the level of {M}alcev completions, 
and compute their coranks. Dropping the assumption on realizability by $3$-manifolds, 
we show that the corank equals the isotropy index of the cup-product map in degree 
one.  Finally, we examine the formality properties of smooth affine surfaces and 
quasi-homogeneous isolated surface singularities. In the latter case, we describe 
explicitly the positive-dimensional components of the first characteristic 
variety for the associated singularity link.},
     arxiv = {http://arxiv.org/abs/0810.2158},
       URL = {http://www.springerlink.com/content/q475773366186q08/},
       DOI = {10.1007/s00209-010-0664-y}
}

@incollection {Suciu:conm11,
 author    = {Suciu, Alexander I.},
 title     = {Fundamental groups, {A}lexander invariants, and cohomology jumping loci},
 BOOKTITLE = {Topology of algebraic varieties and singularities},
    SERIES = {Contemp. Math.},
   FSERIES = {Contemporary Mathematics}, 
    VOLUME = {538},
     PAGES = {179--223},
    EDITOR = {Jos\'{e} Ignacio Cogolludo-Agust\'{\i}n and Eriko Hironaka}, 
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2011},
   MRCLASS = {20F34 (20J05, 32S22, 57M12)},
  MRNUMBER = {2777821 (2012b:20092)},
MRREVIEWER = {F. E. A. Johnson},
 ZBLNUMBER = {1214.14017},
ZBREVIEWER = {},
 keywords  = {Fundamental group, {A}lexander polynomial, characteristic variety, 
resonance variety, abelian cover, formality, {B}ieri--{N}eumann--{S}trebel--{R}enz invariant, 
right-angled {A}rtin group, {K}{\"{a}}hler manifold, quasi-{K}{\"{a}}hler manifold, hyperplane 
arrangement, {M}ilnor fibration, boundary manifold},
  abstract = {We survey the cohomology jumping loci and the {A}lexander-type 
invariants associated to a space, or to its fundamental group.  Though most 
of the material is expository, we provide new examples and applications, 
which in turn raise several questions and conjectures.

The jump loci of a space $X$ come in two basic flavors: the characteristic 
varieties, or, the support loci for homology with coefficients in rank $1$ local 
systems, and the resonance varieties, or, the support loci for the homology of 
the cochain complexes arising from multiplication by degree $1$ classes in the 
cohomology ring of $X$. The geometry of these varieties is intimately related 
to the formality, (quasi-) projectivity, and homological finiteness properties 
of $\pi_1(X)$.

We illustrate this approach with various applications to the study of hyperplane 
arrangements, Milnor fibrations, $3$-manifolds, and right-angled Artin groups.},
     arxiv = {http://arxiv.org/abs/0910.1559},
       URL = {http://www.math.neu.edu/~suciu/papers/libsurvey.pdf}
}

@article {Suciu:forum10,
    author = {Papadima, Stefan and Suciu, Alexander I.},
     title = {Algebraic monodromy and obstructions to formality},       
   JOURNAL = {Forum Math.},
  FJOURNAL = {Forum Mathematicum},
    VOLUME = {22},
      YEAR = {2010},
    NUMBER = {5},
     PAGES = {973-983},
   MRCLASS = {20J05, 57M07 (20F34, 55P62)},
  MRNUMBER = {2719766 (2011j:57004)},
MRREVIEWER = {Masaki Kameko},
 ZBLNUMBER = {1229.57002},
ZBREVIEWER = {Samuel Smith},
  keywords = {Fibration, monodromy, formality, cohomology jumping loci, link, singularity},
  abstract = {Given a fibration over the circle, we relate the eigenspace 
decomposition of the algebraic monodromy, the homological finiteness properties 
of the fiber, and the formality properties of the total space.  In the process, 
we prove a more general result about iterated group extensions. As an application, 
we obtain new criteria for formality of spaces, and 1-formality of groups, 
illustrated by bundle constructions and various examples from low-dimensional 
topology and singularity theory.},
     arxiv = {http://arxiv.org/abs/0901.0105},
       URL = {http://www.reference-global.com/doi/abs/10.1515/FORUM.2010.052},
       DOI = {10.1515/forum.2010.052}
}

@article {Suciu:plms10,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {Bieri-{N}eumann-{S}trebel-{R}enz invariants and homology jumping loci},
   JOURNAL = {Proc. London Math. Soc.},
  FJOURNAL = {Proceedings of the London Mathematical Society},
    VOLUME = {100},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {795-834},
   MRCLASS = {20J05 (55N25, 14F35, 20F36, 20F65)},
  MRNUMBER = {MR2640291 (2011i:55006)},
MRREVIEWER = {Brita E. A. Nucinkis},
 ZBLNUMBER = {05708721},
ZBREVIEWER = {},
  keywords = {Characteristic variety, {A}lexander variety, resonance 
variety, exponential tangent cone, homology of free abelian covers, 
{B}ieri-{N}eumann-{S}trebel-{R}enz invariant, {N}ovikov homology, 
valuation, algebraic integer, right-angled {A}rtin group, {A}rtin 
kernel, {K}{\"{a}}hler manifold, quasi-{K}{\"{a}}hler manifold},
  abstract = {We investigate the relationship between the geometric 
{B}ieri-{N}eumann-{S}trebel-{R}enz invariants of a space (or of a group) 
and the jump loci for homology with coefficients in rank-$1$ local systems 
over a field. We give computable upper bounds for the geometric invariants 
in terms of the exponential tangent cones to the jump loci over the complex 
numbers. Under suitable hypotheses, these bounds can be expressed in terms 
of simpler data, for instance, the resonance varieties associated to the 
cohomology ring. These techniques yield information on the homological 
finiteness properties of free abelian covers of a given space and of 
normal subgroups with abelian quotients of a given group. We illustrate 
our results in a variety of geometric and topological contexts, such as 
toric complexes and {A}rtin kernels, as well as {K}{\"{a}}hler and 
quasi-{K}{\"{a}}hler manifolds.},
     arxiv = {http://arxiv.org/abs/0812.2660},
       URL = {http://plms.oxfordjournals.org/cgi/content/abstract/pdp045},
       DOI = {10.1112/plms/pdp045}
}

@article {Suciu:tams10,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {The spectral sequence of an equivariant chain complex 
and homology with local coefficients},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {362},
      YEAR = {2010},
    NUMBER = {5},
     PAGES = {2685-2721},
   MRCLASS = {55T99 (20J05, 55N25, 57M05)},
  MRNUMBER = {2584616 (2011b:55017)},
MRREVIEWER = {Masaki Kameko},
 ZBLNUMBER = {1195.55005},
ZBREVIEWER = {Haruo Minami},
  keywords = {Equivariant chain complex, $I$-adic filtration, spectral 
sequence, twisted homology, minimal cell complex, {A}omoto complex, {B}etti numbers},
  abstract = {We study the spectral sequence associated to the filtration 
by powers of the augmentation ideal on the (twisted) equivariant 
chain complex of the universal cover of a connected 
CW-complex $X$.  In the process, we identify the $d^1$ 
differential in terms of the coalgebra structure of $H_*(X,\k)$, 
and the $\k\pi_1(X)$-module structure on the twisting coefficients. 
In particular, this recovers in dual form a result of Reznikov, 
on the mod $p$ cohomology of cyclic $p$-covers of
aspherical complexes. This approach provides 
information on the homology of all {G}alois covers of $X$. 
It also yields computable upper bounds on the ranks 
of the cohomology groups of $X$, with coefficients in 
a prime-power order, rank one local system.  When 
$X$ admits a minimal cell decomposition, we relate 
the linearization of the equivariant cochain complex 
of the universal abelian cover to the {A}omoto complex, 
arising from the cup-product structure of $H^*(X,\k)$, 
thereby generalizing a result of {C}ohen and {O}rlik.},
     arxiv = {http://arxiv.org/abs/0706.4262}, 
       URL = {http://www.ams.org/tran/2010-362-05/S0002-9947-09-05041-7/},
       DOI = {10.1090/S0002-9947-09-05041-7}
}

@book {Suciu:alss10,
     TITLE = {Arrangements, local systems and singularities},
    EDITOR = {El Zein, Fouad and Suciu, Alexander I. and Tosun, Meral and 
    Uluda{\u{g}}, A. Muhammed and Yuzvinsky, Sergey},
      NOTE = {Lecture notes from the CIMPA Summer School held at 
      Galatasaray University, Istanbul, June 11-22, 2007},
 PUBLISHER = {Birk{\"{a}}user},
   ADDRESS = {Basel, Boston, Berlin},
    SERIES = {Progress in Mathematics},
      YEAR = {2010},
     PAGES = {i-x and 1-319},
      ISBN = {978-3-0346-0208-2},
   MRCLASS = {},
  MRNUMBER = {},
 ZBLNUMBER = {},
       DOI = {10.1007/978-3-0346-0209-9},
       URL = {http://www.springerlink.com/content/978-3-0346-0208-2}
}

@article {Suciu:bmssmr09,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {Geometric and algebraic aspects of $1$-formality},
   JOURNAL = {Bull. Math. Soc. Sci. Math. Roumanie (N.S.)},
  FJOURNAL = {Bulletin Math\'ematique de la Soci\'et\'e des Sciences
              Math\'ematiques de Roumanie. Nouvelle S\'erie},
    VOLUME = {52 (100)},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {355-375},
   MRCLASS = {55P62 (57M07, 14F35, 20J05, 55N25)},
  MRNUMBER = {2554494 (2010k:55018)},
MRREVIEWER = {John F. Oprea},
 ZBLNUMBER = {1199.55010 },
ZBREVIEWER = {Corina Mohorianu},
  Keywords = {Formality, fundamental group, cohomology jumping loci, 
holonomy {L}ie algebra, {B}ieri--{N}eumann--{S}trebel invariant, {M}alcev completion, 
lower central series, {K}{\"{a}}hler manifold, quasi-{K}{\"{a}}hler manifold, 
{M}ilnor fiber, hyperplane arrangement, {A}rtin group, {B}estvina--{B}rady group, 
pencil, fibration, monodromy},
  abstract = {Formality is a topological property, defined in terms  
of {S}ullivan's model for a space. In the simply-connected 
setting, a space is formal if its rational homotopy type is 
determined by the rational cohomology ring. In the general 
setting, the weaker $1$-formality property allows one to 
reconstruct the rational pro-unipotent completion of the 
fundamental group, solely from the cup products of 
degree $1$ cohomology classes.  

In this note, we survey various facets of formality, with 
emphasis on the geometric and algebraic implications of 
$1$-formality, and its relations to the cohomology jump loci 
and the {B}ieri--{N}eumann--{S}trebel invariant.  We also 
produce examples of $4$-manifolds $W$ such that, for every 
compact {K}{\"{a}}hler manifold $M$, the product $M\times W$ 
has the rational homotopy type of a {K}{\"{a}}hler manifold, 
yet $M\times W$ admits no {K}{\"{a}}hler metric.},
       URL = {http://www.rms.unibuc.ro/bulletin/volumes/52-3/node16.html},
     arxiv = {http://arxiv.org/abs/0903.2307}
}

@article {Suciu:duke09,
 author    = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
 title     = {Topology and geometry of cohomology jump loci},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {148},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {405-457},
   MRCLASS = {14F35 (20F14, 55N25, 14M12, 20F36, 55P62)},
  MRNUMBER = {2527322 (2011b:14047)},
MRREVIEWER = {},
 ZBLNUMBER = {1222.14035},
ZBREVIEWER = {Keith Johnson},
  keywords = {Characteristic variety, resonance variety, $1$-formal group, 
  holonomy {L}ie algebra, {M}alcev completion, {A}lexander invariant, tangent cone, 
  smooth quasi-projective variety, arrangement, configuration space, {A}rtin group},
  abstract = {We elucidate the key role played by formality in the theory of characteristic 
  and resonance varieties. We define relative characteristic and resonance varieties, 
  $V_k$ and $R_k$, related to twisted group cohomology with coefficients of arbitrary rank. 
  We show that the germs at the origin of $V_k$ and $R_k$ are analytically isomorphic if the 
  group is $1$-formal; in particular, the tangent cone to $V_k$ at $1$ equals $R_k$. These 
  new obstructions to $1$-formality lead to a striking rationality property of the usual 
  resonance varieties. A detailed analysis of the irreducible components of the tangent 
  cone at $1$ to the first characteristic variety yields powerful obstructions to realizing 
  a finitely presented group as the fundamental group of a smooth, complex quasi-projective 
  algebraic variety. This sheds new light on a classical problem of {J}.-{P}. {S}erre. 
  Applications to arrangements, configuration spaces, coproducts of groups, and {A}rtin 
  groups are given.},
     arxiv = {http://arxiv.org/abs/0902.1250},
       URL = {http://projecteuclid.org/euclid.dmj/1245350753},
       DOI = {10.1215/00127094-2009-030}
}

@article {Suciu:jems09,
 author    = {Dimca, Alexandru and Suciu, Alexander I.},
 title     = {Which 3-manifold groups are {K}{\"{a}}hler groups?},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {11},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {521-528},
   MRCLASS = {20F34 (32J27, 57N10)},
  MRNUMBER = {2505439 (2011f:32041)},
MRREVIEWER = {},
 ZBLNUMBER = {1217.57011},
ZBREVIEWER = {Qilin Yang},
  keywords = {{K}{\"{a}}hler manifold, $3$-manifold, fundamental group, 
              cohomology ring, resonance variety, isotropic subspace},
  abstract = {The question in the title, first raised by {G}oldman and {D}onaldson, was 
partially answered by {R}eznikov. We give a complete answer, as follows: if $G$ can 
be realized as both the fundamental group of a closed $3$-manifold and of a compact 
{K}{\"{a}}hler manifold, then $G$ must be finite, and thus belongs to the well-known 
list of finite subgroups of ${\rm O}(4)$, acting freely on $S^3$.},
     arxiv = {http://arxiv.org/abs/0709.4350},
       URL = {http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=11&iss=3&rank=3},
       DOI = {10.4171/JEMS/158}
}

@article {Suciu:crelle09,
 author    = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
 title     = {Non-finiteness properties of fundamental groups of smooth 
projective varieties},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f{\"u}r die Reine und Angewandte Mathematik [Crelle's Journal]},
    VOLUME = {629},
      YEAR = {2009},
    NUMBER = {},
     PAGES = {89-105},
   MRCLASS = {14F35 (57M07, 14H30, 20J05)},
  MRNUMBER = {2527414},
MRREVIEWER = {},
 ZBLNUMBER = {1170.14017},
ZBREVIEWER = {Roberto Pignatelli},
  abstract = {For each integer $n>1$, we construct an irreducible, 
smooth, complex projective variety $M$ of dimension $n$, whose fundamental 
group has infinitely generated homology in degree $n+1$ and whose universal 
cover is a {S}tein manifold, homotopy equivalent to an infinite bouquet of 
$n$-dimensional spheres. This non-finiteness phenomenon is also reflected 
in the fact that the homotopy group $pi_n(M)$, viewed as a module over 
$\matbbb{Z}\pi_1(M)$, is free of infinite rank. As a result, we give a 
negative answer to a question of {K}oll{\'a}r on the existence of quasi-projective 
classifying spaces (up to commensurability) for the fundamental groups of 
smooth projective varieties. To obtain our examples, we develop a complex 
analog of a method in geometric group theory due to {B}estvina and {B}rady.},
     arxiv = {http://arxiv.org/abs/math.AG/0609456},
       URL = {http://www.reference-global.com/doi/abs/10.1515/CRELLE.2009.027},
       DOI = {10.1515/crelle.2009.027}
}

@article {Suciu:adv09,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {Toric complexes and {A}rtin kernels},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {220},
      YEAR = {2009},
     month = {jan},
    NUMBER = {2},
     PAGES = {441-477},
   MRCLASS = {57M07 (20F36 55N25 55P62)},
  MRNUMBER = {2466422 (2010h:57007)},
MRREVIEWER = {Michael J. Falk},
 ZBLNUMBER = {1208.57002},
ZBREVIEWER = {Michael J. Falk},
  Keywords = {toric complex, right-angled {A}rtin group, {A}rtin kernel, 
{B}estvina-{B}rady group, cohomology ring, {S}tanley-{R}eisner ring, 
cohomology jumping loci, monodromy action, holonomy {L}ie algebra, 
{M}alcev {L}ie algebra, formality},
  abstract = {A simplicial complex $L$ on $n$ vertices determines 
a subcomplex $T_L$ of the $n$-torus, with fundamental 
group the right-angled {A}rtin group $G_{L}$.  Given an 
epimorphism $\chi\colon G_{L}\to \Z$, let $T_L^{\chi}$ 
be the corresponding cover, with fundamental group 
the {A}rtin kernel $N_{\chi}$. We compute the cohomology 
jumping loci of the toric complex $T_L$, as well as the 
homology groups of $T_L^{\chi}$ with coefficients in a 
field $\k$, viewed as modules over the group algebra $\k\Z$.  
We give combinatorial conditions for $H_{\le r}(T_L^{\chi};\k)$ 
to have trivial $\Z$-action, allowing us to compute  
the truncated cohomology ring, $H^{\le r}(T_L^{\chi};\k)$.  
We also determine several {L}ie algebras associated to 
{A}rtin kernels, under certain triviality assumptions on the 
monodromy $\Z$-action, and establish the $1$-formality 
of these (not necessarily finitely presentable) groups.},
     arxiv = {http://arxiv.org/abs/0801.3626}, 
%      URL = {http://www.math.neu.edu/~suciu/papers/toric.pdf},
       DOI = {10.1016/j.aim.2008.09.008}
}

@incollection {Suciu:gtm08,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {The boundary manifold of a complex line arrangement},
 BOOKTITLE = {Groups, homotopy and configuration spaces},
    SERIES = {Geom. Topol. Monogr.},
      YEAR = {2008},
     month = {}, 
    VOLUME = {13},
     PAGES = {105-146},    
 PUBLISHER = {Geom. Topol. Publ., Coventry},
   MRCLASS = {32S22, 57M27},
  MRNUMBER = {2508203 (2010c:32051)},
MRREVIEWER = {Henry K. Schenck},
 ZBLNUMBER = {1137.32013},
ZBREVIEWER = {},
  keywords = {line arrangement, graph manifold, fundamental group, twisted {A}lexander 
              polynomial, {BNS} invariant, cohomology ring, holonomy {L}ie algebra, 
              characteristic variety, resonance variety, tangent cone, formality},
  abstract = {We study the topology of the boundary manifold of a line arrangement in 
$\mathbb{CP}^2$, with emphasis on the fundamental group $G$ and associated invariants. 
We determine the {A}lexander polynomial $\Delta(G)$, and more generally, the twisted 
{A}lexander polynomial associated to the abelianization of $G$ and an arbitrary complex 
representation. We give an explicit description of the unit ball in the {A}lexander norm, 
and use it to analyze certain {B}ieri–-{N}eumann-–{S}trebel invariants of $G$. From the 
{A}lexander polynomial, we also obtain a complete description of the first characteristic 
variety of $G$. Comparing this with the corresponding resonance variety of the cohomology 
ring of $G$ enables us to characterize those arrangements for which the boundary manifold 
is formal.},
     arxiv = {http://arxiv.org/abs/math.GT/0607274},
       URL = {http://www.msp.warwick.ac.uk/gtm/2008/13/p005.xhtml},
       DOI = {10.2140/gtm.2008.13.105}
}

@article {Suciu:imrn08,
 author    = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
 title     = {Alexander polynomials: Essential variables and multiplicities},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2008},
     month = {}, 
    Number = {3},
     Pages = {Art. ID rnm119, 36 pp.},
   MRCLASS = {32S22 (20F65 55R80 57M27)},
  MRNUMBER = {2416998 (2009i:32036)},
MRREVIEWER = {Michael J. Falk},
 ZBLNUMBER = {1156.32018},
ZBREVIEWER = {Claus Ernst},
  keywords = {characteristic varieties, {A}lexander polynomial, almost principal ideal, 
  multiplicity, twisted {B}etti number, quasi-projective group, boundary manifold, {S}eifert link},
  abstract = {We explore the codimension-one strata in the degree-one cohomology 
  jumping loci of a finitely generated group, through the prism of the multivariable 
  {A}lexander polynomial. As an application, we give new criteria that must be satisfied 
  by fundamental groups of smooth, quasi-projective complex varieties. These criteria 
  establish precisely which fundamental groups of boundary manifolds of complex line 
  arrangements are quasi-projective. We also give sharp upper bounds for the twisted 
  {B}etti ranks of a group, in terms of multiplicities constructed from the {A}lexander 
  polynomial. For {S}eifert links in homology $3$-spheres, these bounds become equalities, 
  and our formula shows explicitly how the {A}lexander polynomial determines all the 
  characteristic varieties.},
     arxiv = {http://arxiv.org/abs/0706.2499}, 
       URL = {http://imrn.oxfordjournals.org/cgi/content/abstract/2008/rnm119/rnm119},
       DOI = {10.1093/imrn/rnm119}
}

@article {Suciu:jag08,
    author = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
     title = {Quasi-{K}{\"{a}}hler {B}estvina-{B}rady groups},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {17},
      YEAR = {2008},
     month = {}, 
    NUMBER = {1},
     PAGES = {185-197},   
   MRCLASS = {20F65, 14F35},  
  MRNUMBER = {2357684 (2008i:20052)},
MRREVIEWER = {Eddy Godelle},
 ZBLNUMBER = {1176.20037},
ZBREVIEWER = {},
  keywords = {fundamental groups, quasi-{K}{\"{a}}hler groups, compact {K}{\"{a}}hler 
manifolds, finite simple graphs, right-angled {A}rtin groups, {B}estvina-{B}rady groups, 
resonance varieties},
  abstract = {A finite simple graph $\Gamma$ determines a right-angled {A}rtin group 
$G_{\Gamma}$, with one generator for each vertex $v$, and with one commutator 
relation $vw=wv$ for each pair of vertices joined by an edge. The {B}estvina-{B}rady 
group $N_{\Gamma}$ is the kernel of the projection $G_{\Gamma} \to \mathbb{Z}$, 
which sends each generator $v$ to $1$. We establish precisely which graphs $\Gamma$ 
give rise to quasi-{K}{\"{a}}ahler (respectively, {K}{\"{a}}ahler) groups $N_{\Gamma}$. 
This yields examples of quasi-projective groups which are not commensurable (up to 
finite kernels) to the fundamental group of any aspherical, quasi-projective variety.},
     arxiv = {http://arxiv.org/abs/math.AG/0603446},
       URL = {http://www.ams.org/distribution/jag/2008-17-01/S1056-3911-07-00463-8/home.html}
}

@article {Suciu:mathann08,
    AUTHOR = {Kreck, Matthias and Suciu, Alexander I.},
     TITLE = {Free abelian covers, short loops, stable length, and systolic
              inequalities},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {340},
      YEAR = {2008},
     month = {}, 
    NUMBER = {3},
     PAGES = {709--729},
%     note = {initial preprint together with Katz, Mikhail G.},
   MRCLASS = {53C23 (57N65)},
  MRNUMBER = {2358001 (2008k:53079)},
MRREVIEWER = {Florent Balacheff},
 ZBLNUMBER = {1134.53019},
ZBREVIEWER = {Mircea Craioveanu},
  keywords = {},
  abstract = {We explore the geometry of the {A}bel-{J}acobi map $f$ from 
a closed, orientable Riemannian manifold $X$ to its {J}acobi torus. 
Applying {G}romov's filling inequality to the typical fiber of $f$, 
we prove an interpolating inequality for two flavors of shortest 
length invariants of loops. The procedure works, provided the lift 
of the fiber is non-trivial in the homology of the maximal free 
abelian cover, $\tilde{X}$, classified by $f$. We show that the 
finite-dimensionality of the rational homology of $\tilde{X}$ is 
a sufficient condition for the homological non-triviality of the fiber. 
When applied to nilmanifolds, our ``fiberwise'' inequality typically 
gives stronger information than the filling inequality for $X$ itself.  
In dimension $3$, we present a sufficient non-vanishing condition in 
terms of {M}assey products. This condition holds for certain manifolds 
that do not fiber over their {J}acobi torus, such as $0$-framed surgeries 
on suitable links. Our systolic inequality applies to surface bundles 
over the circle (provided the algebraic monodromy has $1$-dimensional 
coinvariants), even though the {M}assey product invariant vanishes for 
some of these bundles.},
     arxiv = {http://arXiv.org/abs/math.DG/0207143v1},
       URL = {http://www.springerlink.com/content/c2732614k8626687}, 
       DOI = {10.1007/s00208-007-0182-3}
}

@article {Suciu:jlms07,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {Algebraic invariants for {B}estvina-{B}rady groups},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society},
    VOLUME = {76},
      YEAR = {2007},
     month = {}, 
    NUMBER = {2},
     PAGES = {273-292},
   MRCLASS = {20F36 (20F14 57M07 57M27)},  
  MRNUMBER = {2363416},
MRREVIEWER = {},
 ZBLNUMBER = {1176.20037},
ZBREVIEWER = {},
  keywords = {Graph, flag complex, right-angled {A}rtin group, 
  {B}estvina--{B}rady group, lower central series, holonomy {L}ie 
  algebra, {C}hen {L}ie algebra, resonance variety, {A}lexander invariant},
  abstract = {{B}estvina--{B}rady groups arise as kernels of length 
  homomorphisms from right-angled {A}rtin groups $G_\Gamma$ to the 
  integers. Under some connectivity assumptions on the flag complex 
  $\Delta_\Gamma$, we compute several algebraic invariants of such 
  a group $N_\Gamma$, directly from the underlying graph $\Gamma$. 
  As an application, we give examples of {B}estvina--{B}rady groups 
  which are not isomorphic to any {A}rtin group or arrangement group.},
     arxiv = {http://arXiv.org/abs/math.GR/0603240},
       URL = {http://jlms.oxfordjournals.org/cgi/content/abstract/jdm045},
       DOI = {10.1112/jlms/jdm045}
}

@article {Suciu:pamq07,
 author    = {Denham, Graham and Suciu, Alexander I.},
 title     = {Moment angle complexes, monomial ideals, and {M}assey products},
   JOURNAL = {Pure Appl. Math. Q.},
  FJOURNAL = {Pure and Applied Mathematics Quarterly},
    VOLUME = {3},
      YEAR = {2007},
     month = {}, 
    NUMBER = {1},
     PAGES = {25-60},
   MRCLASS = {55S30 (13F55, 16E05, 32Q55, 55P62, 57R19)},  
  MRNUMBER = {2330154 (2008g:55028)},
MRREVIEWER = {Marc Aubry},
 ZBLNUMBER = {1169.13013},
ZBREVIEWER = {{M}artin D. Crossley},
  KEYWORDS = {Moment-angle complex, cohomology ring, homotopy {L}ie algebra, 
              {S}tanley-{R}eisner ring, {E}ilenberg-{M}oore spectral sequence, 
              cellular cochain algebra, formality, {M}assey product, triangulation, 
              {B}ier sphere, subspace arrangement, complex manifold},
  abstract = {Associated to every finite simplicial complex $K$ there is a 
``moment-angle" finite {CW}-complex, ${\mathcal{Z}}_{K}$; if $K$ is a 
triangulation of a sphere, ${\mathcal{Z}}_{K}$ is a smooth, compact manifold.  
Building on work of {B}uchstaber, {P}anov, and {B}askakov, we study the 
cohomology ring, the homotopy groups, and the triple {M}assey products 
of a moment-angle complex, relating these topological invariants 
to the algebraic combinatorics of the underlying simplicial complex.  
Applications to the study of non-formal manifolds and subspace 
arrangements are given.},
     arxiv = {http://arxiv.org/abs/math.AT/0512497}, 
       URL = {http://www.intlpress.com/JPAMQ/p/2007/25-60.pdf},
       URL = {http://pamq.henu.edu.cn/downloadarticle.jsp?id=144}
}

@article {Suciu:adv06,
    author = {Cohen, Daniel C. and Suciu, Alexander I.},
    title  = {Boundary manifolds of projective hypersurfaces},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {206},
      YEAR = {2006},
     month = {}, 
    NUMBER = {2},
     PAGES = {538-566},
   MRCLASS = {14J70 (32S22 32S35)},  
  MRNUMBER = {2263714 (2007j:14064)},
MRREVIEWER = {Henry K. Schenck},
 ZBLNUMBER = {1110.14036},
ZBREVIEWER = {Daniel Matei},
  keywords = {},
  abstract = {},
     arxiv = {http://arXiv.org/abs/math.AT/0502506}, 
       DOI = {10.1016/j.aim.2005.10.003}
}

@article {Suciu:cmh06,
 author    = {Papadima, Stefan and Suciu, Alexander I.},
 title     = {When does the associated graded {L}ie algebra of an arrangement group decompose?},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {81},
      YEAR = {2006},
    NUMBER = {4},
     PAGES = {859-875},
  MRNUMBER = {2271225 (2007h:52028)},
MRREVIEWER = {Ivan V. Arzhantsev},
 ZBLNUMBER = {1104.52009},
ZBREVIEWER = {},
  keywords = {},
  abstract = {},
     arxiv = {http://arxiv.org/abs/math.CO/0309324},
       URL = {http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=81&iss=4&rank=7},
       DOI = {10.4171/CMH/77}
}

@article {Suciu:mich06,
 author    = {Denham, Graham and Suciu, Alexander I.},
 title     = {On the homotopy {L}ie algebra of an arrangement},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {54},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {319--340},
      ISSN = {0026-2285},
   MRCLASS = {17B70 (16S37 17B55)},  
  MRNUMBER = {2252762 (2007f:17039)},
MRREVIEWER = {Marc Aubry},
 ZBLNUMBER = {1198.17012},
ZBREVIEWER = {},
  keywords = {Holonomy and homotopy {L}ie algebras, hyperplane arrangement, {Y}oneda 
              algebra, {K}oszul algebra, {H}opf algebra, spectral sequence, homotopy groups},
  abstract = {Let $A$ be a graded-commutative, connected $\mathbb{k}$-algebra 
generated in degree $1$.  The homotopy {L}ie algebra $\mathfrak{g}_A$ 
is defined to be the {L}ie algebra of primitives of the Yoneda algebra, 
${\rm Ext}_{A}(\mathbb{k},\mathbb{k})$.   Under certain homological 
assumptions on $A$ and its quadratic closure, we express $\mathfrak{g}_A$ 
as a semi-direct product of the well-understood holonomy {L}ie algebra 
$\mathfrak{h}_A$ with a certain $\mathfrak{h}_A$-module.  This allows 
us to compute the homotopy {L}ie algebra associated to the cohomology 
ring of the complement of a complex hyperplane arrangement, provided some 
combinatorial assumptions are satisfied.   As an application, we give 
examples of hyperplane arrangements whose complements have the same 
Poincar{\'{e}} polynomial, the same fundamental group, and the same 
holonomy {L}ie algebra, yet different homotopy {L}ie algebras.},
     arxiv = {http://arXiv.org/abs/math.AT/0502417},
       URL = {http://projecteuclid.org/euclid.mmj/1156345597},
       DOI = {10.1307/mmj/1156345597}
}

@article {Suciu:mathann06,
   author  = {Papadima, Stefan and Suciu, Alexander I.},
   title   = {Algebraic invariants for right-angled {A}rtin groups}, 
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {334},
      YEAR = {2006},
    NUMBER = {3},
     PAGES = {533--555},
      ISSN = {0025-5831},
   MRCLASS = {20F36 (13F55 55P62 57M07)},
  MRNUMBER = {2207874 (2006k:20078)},
MRREVIEWER = {Eddy Godelle},
 ZBLNUMBER = {1165.20032},
ZBREVIEWER = {},
  Keywords = {right-angled {A}rtin groups, lower central series, Chen groups, resonance 
              varieties, finite simplicial graphs, hyperplane arrangements},
  abstract = {},
     arxiv = {http://arXiv.org/abs/math.GR/0412520},
       URL = {http://www.springerlink.com/content/fx2681l300513430},
       DOI = {10.1007/s00208-005-0704-9}
}

@article {Suciu:tams06,
 author    = {Schenck, Henry K. and Suciu, Alexander I.},
 title     = {Resonance, linear syzygies, {C}hen groups, and the 
              {B}ernstein-{G}elfand-{G}elfand correspondence}, 
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {358},
      YEAR = {2006},
    NUMBER = {5},
     PAGES = {2269--2289}, 
      ISSN = {0002-9947},
   MRCLASS = {52C35 (16E05)},  
  MRNUMBER = {2197444 (2007a:52026)},
MRREVIEWER = {Hiroaki Terao},
 ZBLNUMBER = {1153.52008},
ZBREVIEWER = {},
  keywords = {},
  abstract = {},
     arxiv = {http://arXiv.org/abs/math.AC/0502438},
       URL = {http://www.ams.org/tran/2006-358-05/S0002-9947-05-03853-5},
       DOI = {10.1090/S0002-9947-05-03853-5}     
}

@unpublished {Suciu:dps05,
 author    = {Dimca, Alexandru and Papadima, Stefan and Suciu, Alexander I.},
 title     = {Formality, {A}lexander invariants, and a question of {S}erre},
 note      = {preprint, December 2005 (updated December 2007)},  
 arxiv     = {http://arxiv.org/abs/math.AT/0512480},
       URL = {http://www.math.neu.edu/~suciu/papers/serre.pdf}
}

@incollection {Suciu:emissary05,
    AUTHOR = {Falk, Michael J. and Suciu, Alexander I.},
     TITLE = {Complex hyperplane arrangements},
 BOOKTITLE = {Emissary (MSRI Newsletter)},
    VOLUME = {Spring},
     PAGES = {4--6},
 PUBLISHER = {Mathematical Sciences Research Institute},
   ADDRESS = {Berkeley, CA},
      YEAR = {2005},
  keywords = {},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/0505166},
       URL = {http://www.msri.org/ext/Emissary/EmissarySpring05.pdf}
}

@article {Suciu:jalg05,
    AUTHOR = {Matei, Daniel and Suciu, Alexander I.},
     TITLE = {Counting homomorphisms onto finite solvable groups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {286},
      YEAR = {2005},
     month = {apr},
    NUMBER = {1},
     PAGES = {161--186},
      ISSN = {0021-8693},
   MRCLASS = {20D10},
  MRNUMBER = {2124813 (2006b:20034)},
MRREVIEWER = {Alexander Lubotsky},
 ZBLNUMBER = {1116.20026},
ZBREVIEWER = {Andrea Lucchini},
  keywords = {Solvable quotients, chief series, Gasch{\"{u}}tz formula, 
group cohomology, finite-index subgroups, Baumslag-Solitar groups, 
parafree groups, braid groups},
  abstract = {We present a method for computing the number of epimorphisms 
from a finitely presented group $G$ to a finite solvable group $\G$, 
which generalizes a formula of Gasch{\"{u}}tz.  
Key to this approach are the degree $1$  and $2$ cohomology 
groups of $G$, with certain twisted coefficients.  As an application, 
we count low-index subgroups  of $G$. We also investigate the finite
solvable quotients of the Baumslag-Solitar groups, the Baumslag 
parafree groups, and the {A}rtin  braid groups.},
     ARXIV = {http://arXiv.org/abs/math.GR/0405122},
       DOI = {10.1016/j.jalgebra.2005.01.009}
}

@article {Suciu:gt04,
    AUTHOR = {Papadima, Stefan and Suciu, Alexander I.},
     TITLE = {Homotopy {L}ie algebras, lower central series and the {K}oszul property},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry and Topology},
    VOLUME = {8},
      YEAR = {2004},
     PAGES = {1079--1125 (electronic)},
      ISSN = {1465-3060},
   MRCLASS = {55Q15 (16S37 20F14 57M25 57Q45)},
  MRNUMBER = {2087079 (2005g:55022)},
MRREVIEWER = {Marc Aubry},
 ZBLNUMBER = {1127.55004},
ZBREVIEWER = {},
  keywords = {},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AT/0110303},
       URL = {http://www.msp.warwick.ac.uk/gt/2004/08/p030.xhtml},
       DOI = {10.2140/gt.2004.8.1079}
}

@article {Suciu:imrn04,
    AUTHOR = {Papadima, Stefan and Suciu, Alexander I.},
     TITLE = {Chen {L}ie algebras},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2004},
    NUMBER = {21},
     PAGES = {1057--1086},
      ISSN = {1073-7928},
   MRCLASS = {17B70 (17D10 55P62)},
  MRNUMBER = {2037049 (2004m:17043)},
MRREVIEWER = {Marc Aubry},
 ZBLNUMBER = {1076.17007},
ZBREVIEWER = {Daniel Tanr\'e},
  keywords = {},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.GR/0307087},
       URL = {http://imrn.oxfordjournals.org/cgi/content/abstract/2004/21/1057},
       DOI = {doi:10.1155/S1073792804132017}
}

@article {Suciu:agt03,
    AUTHOR = {Cohen, Daniel C. and Denham, Graham and Suciu, Alexander I.},
     TITLE = {Torsion in {M}ilnor fiber homology},
   JOURNAL = {Algebr. Geom. Topol.},
  FJOURNAL = {Algebraic \& Geometric Topology},
    VOLUME = {3},
      YEAR = {2003},
     PAGES = {511--535 (electronic)},
      ISSN = {1472-2747},
   MRCLASS = {32S55 (32S22 55N25)},
  MRNUMBER = {1997327 (2004d:32043)},
MRREVIEWER = {Daniel Matei},
 ZBLNUMBER = {1030.32022},
ZBREVIEWER = {Theo de Jong},
  KEYWORDS = {},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.GT/0302143},
       URL = {http://www.msp.warwick.ac.uk/agt/2003/03/p016.xhtml},
       DOI = {10.2140/agt.2003.3.511}
}

@article {Suciu:cras02,
    AUTHOR = {Papadima, Stefan and Suciu, Alexander I.},
     TITLE = {Rational homotopy groups and {K}oszul algebras},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {335},
      YEAR = {2002},
     month = {},
    NUMBER = {1},
     PAGES = {53--58},
      ISSN = {1631-073X},
   MRCLASS = {55P62},
  MRNUMBER = {1920995 (2003g:55015)},
MRREVIEWER = {Octavian Cornea}, 
 ZBLNUMBER = {1006.55007},
ZBREVIEWER = {Daniel Tanr\'e},
  keywords = {homotopy groups, cohomology ring, lower central series, rescaling, Koszul algebras},
  abstract = {Let $X$ and $Y$ be finite-type CW-spaces ($X$ connected, $Y$ 
simply connected), such that the ring $H^*(Y,\mathbb{Q})$ is a $k$-rescaling of 
$H^*(X,\mathbb{Q})$. If $H^*(X,\mathbb{Q})$ is a Koszul algebra, then the graded 
{L}ie algebra $pi_*(\Omega Y) \otimes \mathbb{Q}$ is the $k$-rescaling of 
$gr_*(pi_1 X) \otimes \mathbb{Q}$. If $Y$ is a formal space, then the converse 
holds, and $Y$ is coformal. Furthermore, if $X$ is formal, with Koszul cohomology 
algebra, there exist filtered group isomorphisms between the Malcev completion of 
$pi_1 X$, the completion of $[\Omega S^{2k+1},\Omega Y]$, and the {M}ilnor-Moore group 
of coalgebra maps from $H_*(\Omega S^{2k+1},\mathbb{Q})$ to $H_*(\Omega Y,\mathbb{Q})$.},
       URL = {http://www.math.neu.edu/~suciu/papers/rhgka.pdf},
       DOI = {10.1016/S1631-073X(02)02420-2}
}

@article {Suciu:tams02,
    AUTHOR = {Schenck, Henry K. and Suciu, Alexander I.},
     TITLE = {Lower central series and free resolutions of hyperplane arrangements},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {354},
      YEAR = {2002},
    NUMBER = {9},
     PAGES = {3409--3433 (electronic)},
      ISSN = {0002-9947},
   MRCLASS = {16Exx (52C35)},
  MRNUMBER = {1911506 (2003k:52022)},
MRREVIEWER = {Ruth Lawrence}, 
 ZBLNUMBER = {1057.52015},
  KEYWORDS = {lower central series; free resolution; hyperplane arrangement; 
              change of rings spectral sequence; Koszul algebra; linear strand; 
              graphic arrangement},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/0109070},
       URL = {http://www.ams.org/journal-getitem?pii=S0002-9947-02-03021-0},
       DOI = {10.1090/S0002-9947-02-03021-0}
}

@article {Suciu:imrn02,
    AUTHOR = {Matei, Daniel and Suciu, Alexander I.},
     TITLE = {Hall invariants, homology of subgroups, and characteristic varieties},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2002},
    NUMBER = {9},
     PAGES = {465--503},
      ISSN = {1073-7928},
   MRCLASS = {20Fxx (20J05)},
  MRNUMBER = {1884468 (2003d:20055)},
MRREVIEWER = {Alexander Lubotsky},
 ZBLNUMBER = {1061.20040},
  KEYWORDS = {Hall invariants, metabelian groups, characteristic varieties, 
              cohomology of groups, low-index subgroups, fundamental groups},
  abstract = {Given a finitely-generated group $G$, and a finite group
$\Gamma$, Philip Hall defined $\delta_{\Gamma(G)}$ to be the
number of factor groups of $G$ that are isomorphic to $\Gamma$.
We show how to compute the Hall invariants by cohomological and 
combinatorial methods, when $G$ is finitely-presented, and $\Gamma$ 
belongs to a certain class of metabelian groups.  Key to this approach 
is the stratification of the character variety, ${\rm Hom}(G,\mathbb{K}^*)$, 
by the jumping loci of the cohomology of $G$, with coefficients in 
rank $1$ local systems over a suitably chosen field $\mathbb{K}$.  
Counting relevant torsion points on these ``characteristic'' subvarieties 
gives $\delta_{\Gamma(G)}$.  In the process, we compute the 
distribution of prime-index, normal subgroups $K\triangleleft G$ 
according to $\dim_{\mathbb{K}} H_1(K;\mathbb{K})$, provided 
${\rm char}\, \mathbb{K}\ne |G:K|$. In turn, we use this distribution 
to count low-index subgroups of $G$.  We illustrate these 
techniques in the case when $G$ is the fundamental group of 
the complement of an arrangement of either affine lines in 
$\mathbb{C}^{2}$, or transverse planes in $\mathbb{R}^4$.},
     ARXIV = {http://arXiv.org/abs/math.GR/0010046},
       URL = {http://imrn.oxfordjournals.org/cgi/content/abstract/2002/9/465},
       DOI = {10.1155/S107379280210907X}
}

@article {Suciu:adv02,
    AUTHOR = {Papadima, Stefan and Suciu, Alexander I.},
     TITLE = {Higher homotopy groups of complements of complex hyperplane arrangements},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {165},
      YEAR = {2002},
     month = {jan},
    NUMBER = {1},
     PAGES = {71--100},
      ISSN = {0001-8708},
   MRCLASS = {55R80 (32S22 52C35)},
  MRNUMBER = {1880322 (2003b:55019)},
MRREVIEWER = {Daniel C. Cohen},
 ZBLNUMBER = {1019.52016},
ZBREVIEWER = {Michael J. Falk},
  KEYWORDS = {hypersolvable arrangement, higher homotopy groups, minimal cell decomposition},
  abstract = {We generalize results of Hattori on the topology of complements
of hyperplane arrangements, from the class of generic arrangements,
to the much broader class of hypersolvable arrangements.
We show that the higher homotopy groups of the complement
vanish in a certain combinatorially determined range, and we
give an explicit $\mathbb{Z}\pi_1$-module presentation of $\pi_p$,
the first non-vanishing higher homotopy group. We also
give a combinatorial formula for the $\pi_1$-coinvariants
of $\pi_p$.  

For affine line arrangements whose cones are hypersolvable, 
we provide a minimal resolution of $\pi_2$, and study some 
of the properties of this module.  For graphic arrangements 
associated to graphs with no $3$-cycles, we obtain information 
on $\pi_2$, directly from the graph.  The $\pi_1$-coinvariants 
of $\pi_2$ may distinguish the homotopy $2$-types of arrangement 
complements with the same $\pi_1$, and the same Betti numbers 
in low degrees.},
     ARXIV = {http://arXiv.org/abs/math.AT/0002251},
       DOI = {10.1006/aima.2001.2023}
}

@incollection {Suciu:conm01,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Fundamental groups of line arrangements: Enumerative aspects},
 BOOKTITLE = {Advances in algebraic geometry motivated by physics (Lowell,
              MA, 2000)},
    SERIES = {Contemp. Math.},
   FSERIES = {Contemporary Mathematics}, 
    VOLUME = {276},
     PAGES = {43--79},
    EDITOR = {Emma Previato}, 
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2001},
   MRCLASS = {14F35 (32S22 52C35 57M05)},
  MRNUMBER = {1837109 (2002k:14029)},
MRREVIEWER = {Nguyen Viet Dung},
 ZBLNUMBER = {0998.14012},
  KEYWORDS = {complements of line arrangements; fundamental groups; characteristic varieties; resonance varieties; finite covers},
     ARXIV = {http://arXiv.org/abs/math.AG/0010105}
}

@article {Suciu:topapp02,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Translated tori in the characteristic varieties of complex
              hyperplane arrangements},
      NOTE = {Arrangements in Boston: a Conference on Hyperplane
              Arrangements (1999)},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
    VOLUME = {118},
      YEAR = {2002},
    NUMBER = {1-2},
     PAGES = {209--223},
      ISSN = {0166-8641},
   MRCLASS = {32S22 (52C35)},
  MRNUMBER = {1877726 (2002j:32027)},
MRREVIEWER = {Guangfeng Jiang},
 ZBLNUMBER = {1021.32009},
ZBREVIEWER = {Margaret M. Bayer},
  KEYWORDS = {hyperplane arrangement; characteristic variety; Orlik-Solomon algebra; translated tori},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/9912227},
       DOI = {10.1016/S0166-8641(01)00052-9}
}

@book {Suciu:arrbos02,
     TITLE = {Arrangements in {B}oston: a {C}onference on {H}yperplane
              {A}rrangements},
    EDITOR = {Cohen, Daniel C. and Suciu, Alexander I.},
      NOTE = {Papers from the conference held at Northeastern University,
              Boston, MA, June 12--15, 1999,
              Topology Appl. {\bf 118} (2002), no. 1-2},
 PUBLISHER = {North-Holland Publishing Co.},
   ADDRESS = {Amsterdam},
      YEAR = {2002},
     PAGES = {v--viii and 1--274},
      ISSN = {0166-8641},
   MRCLASS = {00B25 (20-06 52-06)},
  MRNUMBER = {1877711 (2002h:00013)},
 ZBLNUMBER = {0983.00038},
       DOI = {10.1016/S0166-8641(01)00055-4}
}

@article {Suciu:gafa01,
    AUTHOR = {Katz, Mikhail G. and Suciu, Alexander I.},
     TITLE = {Systolic freedom of loop space},
   JOURNAL = {Geom. Funct. Anal.},
  FJOURNAL = {Geometric and Functional Analysis},
    VOLUME = {11},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {60--73},
      ISSN = {1016-443X},
   MRCLASS = {53C23 (55M99)},
  MRNUMBER = {1829642  (2002c:53067)},
MRREVIEWER = {John F. Oprea},
 ZBLNUMBER = {1048.53030},
ZBREVIEWER = {H. Gollek},
  KEYWORDS = {systolic freedom; systole; total volume; submanifold; loop space; rational homotopy},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.DG/0106153},
       URL = {http://www.springerlink.com/content/8xf1kr4b43ratj08/},
       DOI = {10.1007/PL00001672}
       }

@incollection {Suciu:aspm00,
    AUTHOR = {Matei, Daniel and Suciu, Alexander I.},
     TITLE = {Cohomology rings and nilpotent quotients of real and complex
              arrangements},
 BOOKTITLE = {Arrangements---Tokyo 1998},
    SERIES = {Adv. Stud. Pure Math.},
   FSERIES = {Advanced Studies in Pure Mathematics}, 
    VOLUME = {27},
     PAGES = {185--215},
 PUBLISHER = {Kinokuniya},
   ADDRESS = {Tokyo},
      YEAR = {2000},
    EDITOR = {Michael Falk and Hiroaki Terao}, 
   MRCLASS = {32S22 (20F34 55R80)},
  MRNUMBER = {1796900 (2002b:32045)},
MRREVIEWER = {Nguyen Viet Dung},
 ZBLNUMBER = {0974.32020},
  KEYWORDS = {cohomology rings; nilpotent quotients; real and complex 
              hyperplane arrangements; {O}rlik-{S}olomon algebra},
  abstract = {For an arrangement with complement $X$ and fundamental 
  group $G$, we relate the truncated cohomology ring, $H^{\le 2}(X)$, 
  to the second nilpotent quotient, $G/G_3$. We define invariants of 
  $G/G_3$ by counting normal subgroups of a fixed prime index $p$, 
  according to their abelianization. We show how to compute this 
  distribution from the resonance varieties of the {O}rlik-{S}olomon 
  algebra mod $p$. As an application, we establish the cohomology 
  classification of $2$-arrangements of $n\le 6$ planes in $\mathbb{R}^4$.},
     ARXIV = {http://arXiv.org/abs/math.GT/9812087},
}
@article {Suciu:camb99,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {Characteristic varieties of arrangements},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society},
    VOLUME = {127},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {33--53},
      ISSN = {0305-0041},
   MRCLASS = {32S22 (52C35)},
  MRNUMBER = {1692519 (2000m:32036)},
MRREVIEWER = {Hiroaki Terao},
 ZBLNUMBER = {0963.32018},
  KEYWORDS = {arrangement of complex hyperplanes; characteristic subvariety; 
              Alexander invariants; reflection arrangements; monomial groups},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/9801048},
       URL = {http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=37609},
       DOI = {10.1017/S0305004199003576},
      GSID = {7302019678268589445}
}
@incollection {Suciu:conm99,
    AUTHOR = {Katz, Mikhail G. and Suciu, Alexander I.},
     TITLE = {Volume of {R}iemannian manifolds, geometric inequalities, and
              homotopy theory},
 BOOKTITLE = {Tel Aviv Topology Conference: Rothenberg Festschrift (1998)},
    SERIES = {Contemp. Math.},
    VOLUME = {231},
     PAGES = {113--136},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1999},
    EDITOR = {Michael Farber, Wolfgang L{\"u}ck, Shmuel Weinberger}, 
   MRCLASS = {53C23 (55Q15)},
  MRNUMBER = {1705579 (2000i:53063)},
MRREVIEWER = {Andrea Sambusetti},
 ZBLNUMBER = {0967.53024},
ZBREVIEWER = {Vladimir Yu. Rovenskij},
  KEYWORDS = {volume; stable systole; systolic freedom; coarea inequality; 
              isoperimetric inequality; surgery; Whitehead product; loop space; 
              {E}ilenberg-{M}ac{L}ane space; ordinary systole},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.DG/9810172}
}
@article {Suciu:top00,
    AUTHOR = {Matei, Daniel and Suciu, Alexander I.},
     TITLE = {Homotopy types of complements of {$2$}-arrangements in 
             {${\mathbf{R}}\sp 4$}},
   JOURNAL = {Topology},
  FJOURNAL = {Topology. An International Journal of Mathematics},
    VOLUME = {39},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {61--88},
      ISSN = {0040-9383},
   MRCLASS = {55R80 (52C35)},
  MRNUMBER = {1710992 (2000h:55028)},
MRREVIEWER = {Peter Orlik},
 Zblnumber = {0940.55010},
Zbreviewer = {Vincent Moulton},
  keywords = {arrangement; line configuration; link; braid; characteristic variety},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.GT/9712251},
       DOI = {10.1016/S0040-9383(98)00058-5}
}
@article {Suciu:mrl98,
    AUTHOR = {Babenko, Ivan K. and Katz, Mikhail G. and Suciu, Alexander I.},
     TITLE = {Volumes, middle-dimensional systoles, and {W}hitehead products},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {5},
      YEAR = {1998},
    NUMBER = {4},
     PAGES = {461--471},
      ISSN = {1073-2780},
   MRCLASS = {53C23 (53C20 55Q15)},
  MRNUMBER = {1653310 (99m:53084)},
MRREVIEWER = {Athanase Papadopoulos},
 ZBLNUMBER = {0933.53022},
ZBREVIEWER = {A. P. Stone},
  KEYWORDS = {Whitehead product; $k$-systole; systolic freedom},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.DG/9707116},
       URL = {http://www.mrlonline.org/mrl/1998-005-004/1998-005-004-004.pdf}
}
@article {Suciu:tams99,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {Alexander invariants of complex hyperplane arrangements},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {351},
      YEAR = {1999},
    NUMBER = {10},
     PAGES = {4043--4067},
      ISSN = {0002-9947},
   MRCLASS = {52B30 (20F34 57M05)},
  MRNUMBER = {1475679 (99m:52019)},
MRREVIEWER = {Richard Randell},
 ZBLNUMBER = {0945.20024},
ZBREVIEWER = {V. V. Chueshev},
  KEYWORDS = {Alexander invariants; {C}hen groups; {G}assner representation; fundamental groups; 
              braid monodromy homomorphisms; pure braid groups; presentations},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/9703030},
       URL = {http://www.ams.org/tran/1999-351-10/S0002-9947-99-02206-0/},
       DOI = {10.1090/S0002-9947-99-02206-0}
}
@article {Suciu:jpaa98,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {Homology of iterated semidirect products of free groups},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {126},
      YEAR = {1998},
    NUMBER = {1-3},
     PAGES = {87--120},
      ISSN = {0022-4049},
   MRCLASS = {20J05 (20F36 57M05)},
  MRNUMBER = {1475679 (99e:20064)},
MRREVIEWER = {Paul Igodt},
 ZBLNUMBER = {0908.20033},
ZBREVIEWER = {Michael J. Falk},
  KEYWORDS = {Group cohomology; braid groups; fundamental groups; fiber-type 
              arrangements; {M}ilnor fibers; cohomology vanishing theorems; 
              Coxeter arrangements; {B}urau and {G}assner representations},
  abstract = {},
     ARXIV = {http://arXiv.org/abs/math.AG/9503002},
       DOI = {10.1016/S0022-4049(96)00153-3}
}
@article {Suciu:cmh97,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {The braid monodromy of plane algebraic curves and 
              hyperplane arrangements},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {72},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {285--315},
      ISSN = {0010-2571},
   MRCLASS = {52B30 (14H30 20F36 57M05)},
  MRNUMBER = {1470093 (98f:52012)},
MRREVIEWER = {Lee Rudolph},
 ZBLNUMBER = {0959.52018},
ZBREVIEWER = {A. Lipovski},
  KEYWORDS = {Braid monodromy; plane algebraic curve; hyperplane arrangement; 
fundamental group of the complement of an algebraic curve; polynomial 
cover; braid group; wiring diagram; intersection lattice},
  abstract = {To a plane algebraic curve of degree $n$, {M}oishezon associated
a braid monodromy homomorphism from a finitely generated free group
to {A}rtin's braid group $B_n$.  Using {H}ansen's polynomial covering
space theory, we give a new interpretation of this construction.
Next, we provide an explicit description of the braid monodromy of an 
arrangement of complex affine hyperplanes, by means of an associated 
``braided wiring diagram.''  The ensuing presentation of the fundamental
group of the complement is shown to be {T}ietze-I equivalent to the 
{R}andell-{A}rvola presentation.   Work of {L}ibgober then implies 
that the complement of a line arrangement is homotopy equivalent to 
the $2$-complex modeled on either of these presentations.  
Finally, we prove that the braid monodromy of a line arrangement 
determines the intersection lattice.  Examples of {F}alk then show 
that the braid monodromy carries more information than the 
group of the complement, thereby answering a question of {L}ibgober.},
     ARXIV = {http://arXiv.org/abs/math.AG/9608001},
       URL = {http://www.springerlink.com/content/h9aamqbq1704rn6d/},
       DOI = {10.1007/s000140050017},
      GSID = {8881203904084384409}
}
@article {Suciu:jpaa95,
    AUTHOR = {Farjoun, Emmanuel Dror and Jekel, Solomon M. and Suciu,
              Alexander I.},
     TITLE = {Homology of jet groups},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {102},
      YEAR = {1995},
     month = {jul}, 
    NUMBER = {1},
     PAGES = {17--24},
      ISSN = {0022-4049},
   MRCLASS = {20J05},
  MRNUMBER = {1350206 (97g:20060)},
MRREVIEWER = {},
 ZBLNUMBER = {0848.57036},
ZBREVIEWER = {John McCleary},
  KEYWORDS = {Jet groups; spectral sequence; group homology},
  abstract = {In this paper we compute the second homology of the discrete 
jet groups. The $n$-th jet group, $J_n$, is the group, under composition 
followed by truncation, of invertible, orientation-preserving real $n$-jets 
at $0$. Consider the homomorphism $D: J_n \to \mathbb{R}^+$ obtained by 
projecting onto the first coefficient. The main result of this paper is: 
The map $D_*: H_2(J_n) \to H_2(\mathbb{R}^+)$ is an isomorphism.},
       DOI = {10.1016/0022-4049(95)00055-2}
}
@article {Suciu:jlms95,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {On {M}ilnor fibrations of arrangements},
   JOURNAL = {J. London Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {51},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {105--119},
      ISSN = {0024-6107},
   MRCLASS = {32S55 (52B30)},
  MRNUMBER = {1310725 (96e:32034)},
MRREVIEWER = {Richard Randell},
 ZBLNUMBER = {0814.32007},
ZBREVIEWER = {Daniel C.Cohen},
  KEYWORDS = {{M}ilnor fiber; homogeneous polynomial; hyperplane arrangements; 
              Betti numbers; algebraic monodromy},
  abstract = {We use covering space theory and homology with local coefficients 
to study the {M}ilnor fiber of a homogeneous polynomial. These techniques are applied 
in the context of hyperplane arrangements, yielding an explicit algorithm for 
computing the {B}etti numbers of the {M}ilnor fiber of an arbitrary real central 
arrangement in $C^3$, as well as the dimensions of the eigenspaces of the algebraic 
monodromy. We also obtain combinatorial formulas for these invariants of the 
{M}ilnor fiber of a generic arrangement of arbitrary dimension using these methods.},
       URL = {http://jlms.oxfordjournals.org/cgi/content/abstract/51/1/105},
       DOI = {10.1112/jlms/51.1.105}
}
@incollection {Suciu:conm95,
    AUTHOR = {Cohen, Daniel C. and Suciu, Alexander I.},
     TITLE = {The {C}hen groups of the pure braid group},
 BOOKTITLE = {The {\v{C}}ech centennial (Boston, MA, 1993)},
    SERIES = {Contemp. Math.},
    VOLUME = {181},
     PAGES = {45--64},
    EDITOR = {Mila Cenkl and Haynes Miller},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1995},
   MRCLASS = {20F14 (20F36 57M25)},
  MRNUMBER = {1320987 (96c:20055)},
MRREVIEWER = {Colin Maclachlan},
 ZBLNUMBER = {0833.20047},
ZBREVIEWER = {A. M. Akimenkov},
  KEYWORDS = {lower central series, {C}hen groups, pure braid groups, 
              Hilbert series, graded modules, Gr{\"{o}}bner bases},
  abstract = {The {C}hen groups of a group are the lower central series quotients 
of its maximal metabelian quotient. We show that the {C}hen groups of the pure braid 
group $P_n$ are free abelian, and we compute their ranks. The computation of these 
{C}hen groups reduces to the computation of the {H}ilbert series of a certain graded 
module over a polynomial ring, and the latter is carried out by means of a 
{G}r{\"{o}}bner basis algorithm. This result shows that, for $n \ge 4$, 
the group $P_n$ is not a direct product of free groups.},
       URL = {http://www.math.neu.edu/~suciu/papers/chenpn.pdf}
}
@article{Suciu:bams93,
    AUTHOR = {Dwyer, William G. and Jekel, Solomon M. and Suciu, 
              Alexander I.},
     TITLE = {Homology isomorphisms between algebraic groups made discrete},
   JOURNAL = {Bull. London Math. Soc.},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
    VOLUME = {25},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {145--149},
      ISSN = {0024-6093},
   MRCLASS = {20J05 (57T99)},
  MRNUMBER = {1204066 (94f:20097)},
MRREVIEWER = {Lekh Raj Vermani},
 ZBLNUMBER = {0801.20017},
ZBREVIEWER = {Li Fuan},
  KEYWORDS = {homology groups; split exact sequence; discrete groups; 
              diagonalizable endomorphism; connected affine algebraic group; 
              unipotent radical; descending central series},
  abstract = {Consider a split exact sequence of discrete groups 
$$\{1\}\to G \to \Gamma \overset\pi\to 
{\underset\sigma\to\rightleftarrows} \Gamma/G \to \{1\}.$$ 
Suppose there exists a normal series 
$G=G_0 \triangleright G_1 \triangleright \cdots \triangleright G_n 
\triangleright G_{n+1}={1}$, such that (1) $G_i/G_{i+1}$ is a rational 
vector space for $i=0, cdots, n$; (2) $G_i/G_{i+1}$ is contained in the 
center of $G/G_{i+1}$ for $i=0, cdots, n$; (3) there exists an element 
in the center of $\Gamma/G$ that induces a diagonalizable endomorphism of 
each $G_i/G_{i+1}$ with all eigenvalues rational and greater than $1$. 
Then the map $pi$ induces an isomorphism $pi_* \colon H_*(B \Gamma,Z) 
\to H_*(B (\Gamma/G), \mathbb{Z})$.},
       URL = {http://blms.oxfordjournals.org/cgi/reprint/25/2/145},
       DOI = {10.1112/blms/25.2.145}
}
@article {Suciu:cmh92,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Inequivalent frame-spun knots with the same complement},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {67},
      YEAR = {1992},
     month = {dec},
    NUMBER = {1},
     PAGES = {47--63},
      ISSN = {0010-2571},
   MRCLASS = {57Q45},
  MRNUMBER = {1144613 (93a:57026)},
MRREVIEWER = {Jerome P. Levine},
 ZBLNUMBER = {789.57014},
ZBREVIEWER = {Cherry Kearton},
  KEYWORDS = {High-dimensional knots, frame-spinning construction, 
              generalized {P}ontryagin-{T}hom construction, homotopy groups of 
              spheres, {G}luck twist, inequivalent knots with the same complement},
  abstract = {},
       URL = {http://www.springerlink.com/content/k2054n6263477407/},
       URL = {http://retro.seals.ch/digbib/view?rid=comahe-003:1992:67::9},
       DOI = {10.1007/BF02566488}
}
@article {Suciu:mathann91,
    AUTHOR = {Klein, John R. and Suciu, Alexander I.},
     TITLE = {Inequivalent fibred knots whose homotopy {S}eifert pairings
              are isometric},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {289},
      YEAR = {1991},
     month = {mar},
    NUMBER = {4},
     PAGES = {683--701},
      ISSN = {0025-5831},
   MRCLASS = {57Q45},
  MRNUMBER = {1103043 (92d:57015)},
MRREVIEWER = {Cherry Kearton},
 ZBLNUMBER = {711.57015},
  KEYWORDS = {},
  abstract = {},
       URL = {http://www.springerlink.com/content/k2k262hp36m74124/},
       DOI = {10.1007/BF01446596}
}
@article {Suciu:tams90,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Iterated spinning and homology spheres},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {321},
      YEAR = {1990},
     month = {sep},
    NUMBER = {1},
     PAGES = {145--157},
      ISSN = {0002-9947},
   MRCLASS = {57N65 (55Q52 57Q45 57R19)},
  MRNUMBER = {987169 (90m:57014)},
MRREVIEWER = {Laurence R. Taylor},
 ZBLNUMBER = {725.57010},
ZBREVIEWER = {Jerome P. Levine},
  KEYWORDS = {Spinning manifolds; homology spheres; homotopy type},
  abstract = {Given a closed $n$-manifold $M^n$ and a tuple of positive integers $P$, 
let $\sigma_P M$ be the $P$-spin of $M$. If $M \not\simeq S^n$ and $P\ne Q$ (as 
unordered tuples), it is shown that $\sigma_P M \not\simeq \sigma_Q M$  if either 
(1) $H_*(M) \not\cong H_*(S^n)$, (2) $\pi_1(M)$ is finite, (3) $M$ is aspherical, or 
(4) $n=3$. Applications to the homotopy classification of homology spheres and knot 
exteriors are given.},
       URL = {http://www.ams.org/journals/tran/1990-321-01/S0002-9947-1990-0987169-3/},
       DOI = {10.1090/S0002-9947-1990-0987169-3}
}
@article {Suciu:pac88,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {The oriented homotopy type of spun {$3$}-manifolds},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {131},
      YEAR = {1988},
    NUMBER = {2},
     PAGES = {393--399},
      ISSN = {0030-8730},
   MRCLASS = {57N13 (55P15 57M99)},
  MRNUMBER = {922225 (89d:57020)},
MRREVIEWER = {Cameron McA. Gordon},
 ZBLNUMBER = {594.57008},
ZBREVIEWER = {},
  KEYWORDS = {Spinning 3-manifolds, homotopy type},
  abstract = {},
       URL = {http://projecteuclid.org/euclid.pjm/1102689936}
}
@article {Suciu:mz87,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Immersed spheres in {$\mathbf{CP}\sp 2$} and 
             {$S\sp 2\times S\sp 2$}},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {196},
      YEAR = {1987},
     month = {mar},
    NUMBER = {1},
     PAGES = {51--57},
      ISSN = {0025-5874},
   MRCLASS = {57R95 (57N13 57R42)},
  MRNUMBER = {907407 (88j:57038)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
 ZBLNUMBER = {608.57025},
ZBREVIEWER = {},
  KEYWORDS = {Four-manifolds, immersed spheres, intersection form},
  abstract = {If $M$ is a compact, connected, simply-connected, 
smooth $4$-manifold, and gamma is a class in $H_2(M; \mathbb{\Z})$, 
define $d_{\gamma}$ to be the minimum number of double points of 
immersed spheres representing $\gamma$. We use a theorem of 
S. K. Donaldson to provide lower bounds for $d_{\gamma}$, for 
$\gamma$ certain homology classes in rational surfaces.},
       URL = {http://www.springerlink.com/content/gg5677l137p214h3/},
       DOI = {10.1007/BF01179266}
}

@article {Suciu:jlms87,
    AUTHOR = {Plotnick, Steven P. and Suciu, Alexander I.},
     TITLE = {Fibered knots and spherical space forms},
   JOURNAL = {J. London Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {35},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {514--526},
      ISSN = {0024-6107},
   MRCLASS = {57Q45},
  MRNUMBER = {889373 (88f:57038)},
MRREVIEWER = {Jonathan A. Hillman},
 ZBLNUMBER = {587.57009},
ZBREVIEWER = {},
  KEYWORDS = {},
  abstract = {},
       URL = {http://jlms.oxfordjournals.org/cgi/reprint/s2-35/3/514.pdf},
       DOI = {10.1112/jlms/s2-35.3.514}
}
@article {Suciu:topapp87,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Homology $4$-spheres with distinct $k$-invariants},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
    VOLUME = {25},
      YEAR = {1987},
     month = {feb},
    NUMBER = {1},
     PAGES = {103--110},
      ISSN = {0166-8641},
   MRCLASS = {57N13 (55S45 57Q45 57R65)},
  MRNUMBER = {874982 (88f:57021)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
 ZBLNUMBER = {617.57008},
ZBREVIEWER = {Dusan Repov\v{s}},
  KEYWORDS = {Homology 4-spheres, k-invariants},
  abstract = {We exhibit integral-homology $4$-spheres with isomorphic 
$pi_1$ and $pi_2$ (as $pi_1$-modules), but with distinct $k$-invariants.}, 
       DOI = {10.1016/0166-8641(87)90079-4}
}
@article {Suciu:camb85,
    AUTHOR = {Suciu, Alexander I.},
     TITLE = {Infinitely many ribbon knots with the same fundamental group},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society},
    VOLUME = {98},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {481--492},
      ISSN = {0305-0041},
   MRCLASS = {57Q45 (57M05)},
  MRNUMBER = {803607 (87a:57025)},
MRREVIEWER = {Don{\v{c}}o Dimovski},
 ZBLNUMBER = {596.57013},
ZBREVIEWER = {Yasutaka Nakanishi},
  KEYWORDS = {Knots in the 4-sphere, homotopy groups},
  abstract = {A knot $K = (S^{n+2}, S^{n})$ is a ribbon knot if $S^{n}$ bounds 
an immersed disc $D^{n+1}$ in $S^{n+2}$ with no triple points and such that 
the components of the singular set are $n$-discs whose boundary $(n-1)$-spheres 
either lie on $S^{n}$ or are disjoint from $S^{n}$. Pushing $D^{n+1}$ into $D^{n+3}$ 
produces a ribbon disc pair $D = (D^{n+3}, D^{n+1})$, with the ribbon knot 
$(S^{n+2}, S^{n})$ on its boundary. The double of a ribbon $(n+1)$-disc pair is an 
$(n+1)$-ribbon knot. Every $(n+1)$-ribbon knot is obtained in this manner.},
       URL = {http://journals.cambridge.org/action/displayAbstract?aid=2095324},
       DOI = {10.1017/S0305004100063684}
}
@article {Suciu:cmh85,
    AUTHOR = {Plotnick, Steven P. and Suciu, Alexander I.},
     TITLE = {{$k$}-invariants of knotted {$2$}-spheres},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {60},
      YEAR = {1985},
     month = {dec},
    NUMBER = {1},
     PAGES = {54--84},
      ISSN = {0010-2571},
   MRCLASS = {57Q45 (55P15)},
  MRNUMBER = {787662 (86i:57026)},
MRREVIEWER = {John G. Ratcliffe},
 ZBLNUMBER = {568.57017},
ZBREVIEWER = {Cherry Kearton},
  KEYWORDS = {Knots in the 4-sphere, homotopy type},
  abstract = {This paper studies some questions concerning homotopy 
type invariants of smooth four-dimensional knot complements. 
Higher-dimensional knot theory diverges sharply from classical knot theory 
in this respect.  A knot complement $S^4\setminus S^2$ has the homotopy 
type of a $3$-complex, so a natural question is whether the homotopy 
theory of knot complements in $S^4$ can be as complicated as that of 
arbitrary $3$-complexes. The main result of this paper indicates 
that the answer is yes.},
       URL = {http://www.springerlink.com/content/q7440uh56552136t},
       DOI = {10.1007/BF02567400}
}
@phdthesis{Suciu:thesis,
   author  = {Suciu, Alexander I.},
   title   = {Homotopy Type Invariants of Four-Dimensional Knot Complements},
   school  = {Columbia University},
   address = {New York, NY},
   year    = {1984},
   month   = {may},
   note    = {Ph.D. thesis.  Photocopy: UMI-8427479, Ann Arbor, MI}, 
  keywords = {Knots in the 4-sphere, homotopy type},
  abstract = {This thesis studies the homotopy type of smooth four
dimensional knot complements. In contrast with the classical case,
high-dimensional knot complements with fundamental group different
from are never aspherical. The second homotopy group already provides
examples of the way in which a knot in $S^4$ can fail to be determined
by its fundamental group ({C}. {M}c{A}. Gordon, {S}. {P}. {P}lotnick).

A natural class of knots to investigate is ribbon knots. They bound
immersed disks with ``ribbon singularities''. A method is given for
computing $\pi_2$ of such knot complements. I show that there are
infinitely many ribbon knots in $S^4$ with isomorphic $\pi_1$ but 
distinct $\pi_2$ (viewed as $\pi_1$-modules). They appear as boundaries 
of distinct ribbon disk pairs with the same exterior. These knots have 
the fundamental group of the spun trefoil, but none in a spun knot.

To a four-dimensional knot complement, one can associate a certain
cohomology class, the first $k$-invariant of {E}ilenberg, {M}ac{L}ane 
and {W}hitehead. In a joint paper, {P}lotnick and I showed that there are
arbitrarily many knots in $S^4$ whose complements have isomorphic $\pi_1$
and $\pi_2$ (as $\pi_1$-modules), but distinct $k$-invariants. Here I prove
this result using examples which are somewhat more natural and easier
to produce. They are constructed from a fibered knot with fiber a
punctured lens space and a ribbon knot by surgery.

The proofs involve writing down explicit cell complexes, computing
twisted cohomology groups, combinatorial group theory and calculations
in group rings.},
       URL = {http://proquest.umi.com/pqdlink?did=751356951&Fmt=7&clientId =79356&RQT=309&VName=PQD}
}