|
|
|
| • |
On the topological complexity of manifolds with abelian fundamental group,
with L. Vandembroucq.
|
| |
Forum Mathematicum 33 (2021), 1403-1421.
MR4333994
|
|
|
| • |
Parametrized topological complexity of collision-free motion planning in the plane,
with M. Farber and
S. Weinberger.
|
| |
Annals of Mathematics and Artificial Intelligence,
published online 08 September 2022
|
| |
| • |
Topology of parameterized motion planning algorithms,
with M. Farber and
S. Weinberger.
|
|
SIAM Journal on Applied Algebra and Geometry 5 (2021), 229-249.
MR4272901
|
|
|
| • |
On graphic arrangement groups,
with M. Falk.
|
|
Advances in Applied Mathematics 126 (Special Issue: Dedicated to Joseph Kung),
(2021), Paper No. 102130, 22 pp.
MR4224066
|
|
|
| • |
Discriminantal bundles, arrangement groups, and subdirect products of free groups,
with M. Falk and
R. Randell.
|
|
European Journal of Mathematics 6 (Papadima volume) (2020), 751-789.
MR4151718
|
|
|
| • |
Motion planning in connected sums of real projective spaces,
with L. Vandembroucq.
|
|
Topology Proceedings 54 (2019), 323-334.
MR3954806
|
|
|
| • |
Topological complexity of classical configuration spaces and related objects.
|
|
Topological Complexity and Related Topics (M. Grant, G. Lupton, L. Vandembroucq, eds.),
|
|
Contemp. Math., 702, Amer. Math. Soc., 2018, pp. 41-60.
MR3762831
|
|
|
| • |
Topological complexity of the
Klein bottle,
with L. Vandembroucq.
|
|
Journal of Applied and Computational Topology 1 (2017), 199-213.
MR3975552
|
|
|
| • |
Topological complexity of classical configuration spaces and related objects I, II.
|
|
Oberwolfach Rep. 13
(2016), 730-736.
MR3586062
|
|
|
| • |
Chen ranks and resonance,
with H. Schenck.
|
|
Adv. Math., 285 (2015),
1-27.
MR3406494
|
|
|
| • |
Topology of random 2-complexes,
with A. Costa, M. Farber, and
T. Kappeler.
|
|
Discrete Comput. Geom. 47 (2012),
117-149.
MR2886093
|
|
|
| • |
Pure braid groups are not residually free,
with M. Falk and
R. Randell.
|
|
In: Configuration Spaces: Algebra, Combinatorics, Topology
(A. Björner, F. Cohen, C. De Concini, C. Procesi, M. Salvetti, eds.),
Publications of the Scuola Normale Superiore, vol. 14, Edizioni della Normale, Pisa, 2012, pp. 213-230.
MR3203640
|
|
|
| • |
Automorphism groups of some pure braid groups.
|
|
Topology Appl. 159 (2012), 3404-3416.
MR2964854
|
|
|
| • |
Vanishing products of one-forms and critical points of master functions,
with G. Denham,
M. Falk,
and A. Varchenko.
|
|
In: Arrangements of Hyperplanes - Sapporo 2009 (H. Terao and S. Yuzvinsky, eds.),
Adv. Stud. Pure Math., vol. 62, Math. Soc. Japan, 2012, pp. 75-107.
MR2933793
|
|
|
| • |
Chen ranks and resonance.
|
|
Oberwolfach Rep.
9 (2012), 2945-2947.
MR3156741
|
|
|
| • |
The homotopical dimension of random 2-complexes,
with M. Farber and
T. Kappeler.
|
|
arXiv:1005.3383
|
|
|
| • |
Critical points and resonance of hyperplane arrangements,
with G. Denham,
M. Falk,
and A. Varchenko.
|
|
Canad. J. Math. 63 (2011),
1038-1057.
MR2866070
|
|
|
| • |
Topological complexity of collision-free motion planning on surfaces,
with M. Farber.
|
|
Compositio Math. 147 (2011), 649-660.
MR2776616
|
|
|
| • |
Resonance of basis-conjugating automorphism groups.
|
|
Proc. Amer. Math. Soc.
137 (2009), 2835-2841.
MR2506439
|
|
|
| • |
Cohomology rings of almost-direct products of free groups.
|
|
Compositio Math. 146 (2010), 465-479.
MR2601635
|
|
|
| • |
Topological complexity of basis-conjugating automorphism groups,
with G. Pruidze.
|
|
Pacific J. Math. 238 (2008), 233-248.
MR2442993
|
|
|
| • |
Motion planning in tori,
with G. Pruidze.
|
|
Bull. London Math. Soc. 40 (2008), 249-262.
MR2414784
|
|
|
| • |
The boundary manifold of a complex line arrangement,
with A. Suciu.
|
|
In: Groups, homotopy and configuration spaces (N. Iwase, T. Kohno, R. Levi, D. Tamaki, J. Wu, eds.),
Geometry & Topology Monographs 13, Geom. Topol. Publ., Coventry, 2008, pp. 105-146.
MR2508203
|
|
|
| • |
Topological complexity of almost-direct products of free groups.
|
|
Oberwolfach Rep.
4 (2007), 2331-2334.
MR2432117
|
|
|
| • |
Centralizers of Lie algebras associated to descending central series of certain poly-free groups,
|
|
with F. Cohen and S. Prassidis.
J. Lie Theory
17 (2007), 379-397.
MR2325705
|
|
|
| • |
Stratified Morse theory in arrangements,
with P. Orlik.
|
|
Pure Appl. Math. Q. 2 (2006), 673-697.
MR2252113
|
|
|
| • |
Boundary manifolds of projective hypersurfaces,
with A. Suciu.
|
|
Adv. Math. 206 (2006), 538-566.
MR2263714
|
|
|
| • |
Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues,
with P. Orlik.
|
|
Comment. Math. Helv. 81 (2006), 883-909.
MR2271227
|
|
|
| • |
Gauss-Manin connections for arrangements, III. Formal connections,
with P. Orlik.
|
|
Trans. Amer. Math. Soc.
357 (2005), 3031-3050.
MR2135734
|
|
|
| • |
Torsion in Milnor fiber homology,
with G. Denham
and
A. Suciu.
|
|
Algebr. Geom. Topol. 3 (2003), 511-535.
MR1997327
|
|
|
•
|
Resonant local systems on complements of
discriminantal arrangements and
sl2 representations,
with A. Varchenko.
Geom. Dedicata
101 (2003), 217-234.
MR2017904
|
|
|
| • |
Nonresonance conditions for arrangements, with
A. Dimca
and P. Orlik.
|
|
Ann. Inst. Fourier (Grenoble) 53 (2003), 1883-1896.
MR2038782
|
|
|
| • |
Gauss-Manin connections for arrangements, II. Nonresonant weights,
with P. Orlik.
|
|
Amer. J. Math.,
127 (2005), 569-594.
|
|
|
| • |
On representations and K-theory of the braid groups,
with A. Adem and
F. Cohen.
|
|
Math. Ann. 326 (2003), 515-542.
MR1992276
|
|
|
| • |
Gauss-Manin connections for arrangements, I. Eigenvalues,
with P. Orlik.
|
|
Compositio Math. 136 (2003), 299-316.
MR1977008
|
|
|
| • |
Triples of arrangements and local systems.
|
|
Proc. Amer. Math. Soc.
130 (2002), 3025-3031.
MR1908926
|
|
|
| • |
Lie algebras associated to fiber-type arrangements, with
F. Cohen
and
M. Xicoténcatl.
|
|
Int. Math. Res. Not.
2003, no. 29, 1591-1621.
MR1979686
|
|
|
| • |
Some cyclic covers of complements of arrangements,
with P. Orlik.
|
|
In:
Arrangements in Boston, A Conference on Hyperplane Arrangements
(D. Cohen and A. Suciu, eds.),
|
|
Topology Appl. 118 (2002), 3-15.
MR1877712
|
|
|
| • |
Monodromy of fiber-type arrangements and orbit configuration spaces.
|
|
Forum Math.
13 (2001), 505-530.
MR1830245
|
|
|
| • |
Arrangements and local systems, with P. Orlik.
|
|
Math. Res. Lett.
7 (2000), 299-316.
MR1764324
|
|
|
| • |
On the cohomology of discriminantal arrangements
and Orlik-Solomon algebras.
|
|
In:
Arrangements - Tokyo 1998
(M. Falk and H. Terao, eds.),
|
|
Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, 2000, pp. 27-49.
MR1796892
|
|
|
| • |
Characteristic varieties of arrangements, with
A. Suciu.
|
|
Math. Proc. Cambridge Philos. Soc. 127 (1999), 33-53.
MR1692519
|
|
|
| • |
Morse inequalities for arrangements.
|
|
Adv. Math.
134 (1998), 43-45.
MR1612383
|
|
|
| • |
Alexander invariants of complex hyperplane arrangements, with
A. Suciu.
|
|
Trans. Amer. Math. Soc.
351 (1999), 4043-4067.
MR1475679
|
|
|
| • |
Homology of iterated semidirect products of free groups, with
A. Suciu.
|
|
J.
Pure Appl. Algebra 126 (1998), 87-120.
MR1600518
|
|
|
| • |
The braid monodromy of plane
algebraic curves and hyperplane arrangements, with
A. Suciu.
|
|
Comment. Math. Helv. 72 (1997), 285-315.
MR1470093
|
|
|
| • |
The Chen groups of the pure braid group, with
A. Suciu.
|
|
In:
The Cech Centennial:
A Conference on Homotopy Theory (M. Cenkl and H. Miller, eds.),
|
|
Contemp. Math., vol. 181, Amer. Math. Soc., 1995, pp. 45-64.
MR1320987
|
|
|
| • |
On Milnor fibrations of arrangements, with
A. Suciu.
|
|
J. London
Math. Soc. 51 (1995), 105-119.
MR1310725
|
|
|
| • |
Cohomology and intersection cohomology of complex hyperplane
arrangements.
|
|
Adv. Math.
97 (1993), 231-266.
MR1201844
|
|
|
| • |
On the Kunneth formula for intersection cohomology, with
M. Goresky and
L. Ji.
|
|
Trans. Amer. Math. Soc.
333 (1992), 63-69.
MR1052904
|
|
|
|