Formality and finiteness in rational homotopy theory
EMS Surveys in Mathematical Sciences 10 (2023), no. 2, 321–403.
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Cohomology, Bocksteins, and resonance varieties in characteristic 2
Compactifications, Configurations, and Cohomology, 131–157, Contemporary Mathematics, vol. 790, Amer. Math. Soc., Providence, RI, 2023.
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Differential graded algebras, Steenrod cup-one products, binomial operations, and Massey products
with Richard D. Porter
Topology and its Applications 313 (2022), Paper No. 107987, 37 pp.
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Cohomology jump loci of 3-manifolds
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Sigma-invariants and tropical varieties
Mathematische Annalen 380 (2021), no. 3-4, 1427–1463.
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Poincaré duality and resonance varieties
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Taylor expansions of groups and filtered-formality
with He Wang
European Journal of Mathematics 6 (2020), no. 3, 1073–1096.
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Homology, lower central series, and hyperplane arrangements
with Richard D. Porter
European Journal of Mathematics 6 (2020), no. 3, 1039–1072.
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Residually finite rationally p groups
with Thomas Koberda
Communications in Contemporary Mathematics 22 (2020), no. 3, 1950016, 44 pages.
MR 4082220 · Zbl 1477.20057 · Web of Science · arXiv:1604.02010 · pdf · GoogleScholar · ResearchGate
The topology of compact Lie group actions through the lens of finite models
with Stefan Papadima
International Mathematics Research Notices 2019 (2019), no. 20, 6390–6436.
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Chen ranks and resonance varieties of the upper McCool groups
with He Wang
Advances in Applied Mathematics 110 (2019), 197–234.
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Formality properties of finitely generated groups and Lie algebras
with He Wang
Forum Mathematicum 31 (2019), no. 4, 867–905.
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Cup products, lower central series, and holonomy Lie algebras
with He Wang
Journal of Pure and Applied Algebra 223 (2019), no. 8, 3359–3385.
MR 3926216 · Zbl 07047899 · Web of Science · arXiv:1701.07768 · pdf · GoogleScholar · ResearchGate · Wikidata
Infinitesimal finiteness obstructions
with Stefan Papadima
Journal of the London Mathematical Society 99 (2019), no. 1, 173–193.
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The pure braid groups and their relatives
with He Wang
Perspectives in Lie theory, 403–426, Springer INdAM series, vol. 19, Springer, Cham, 2017.
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Abelian duality and propagation of resonance
with Graham Denham and Sergey Yuzvinsky
Selecta Mathematica 23 (2017), no. 4, 2331–2367.
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Pure virtual braids, resonance, and formality
with He Wang
Mathematische Zeitschrift 286 (2017), no. 3-4, 1495–1524.
MR 3671586 · Zbl 1423.20034 · Web of Science · arXiv:1602.04273 · pdf · GoogleScholar · ResearchGate
Flat connections and resonance varieties: from rank one to higher ranks
with Daniela Anca Macinic, Stefan Papadima, and Clement Radu Popescu
Transactions of the American Mathematical Society 369 (2017), no. 2, 1309–1343.
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Around the tangent cone theorem
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Combinatorial covers and vanishing of cohomology (with Graham Denham and Sergey Yuzvinsky)
Selecta Mathematica 22 (2016), no. 2, 561–594.
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Torsion in the homology of Milnor fibers of hyperplane arrangements
with Graham Denham
Combinatorial Methods in Topology and Algebra, 31–36, Springer INdAM Series, vol. 12, Springer, Cham, 2015.
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Vanishing resonance and representations of Lie algebras
with Stefan Papadima
Journal für die reine und angewandte Mathematik (Crelle’s Journal) 706 (2015), 83–101.
MR 3393364 · Zbl 1372.17013 · Web of Science · arXiv:1207.2038 · pdf · GoogleScholar · ResearchGate
Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets
with Alexandru Dimca and Stefan Papadima
Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 58 (2015), no. 3, 257–269.
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Homological finiteness of abelian covers
with Yaping Yang and Gufang Zhao
Annali della Scuola Normale Superiore di Pisa 14 (2015), no. 1, 101–153.
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Jump loci in the equivariant spectral sequence
with Stefan Papadima
Mathematical Research Letters 21 (2014), no. 4, 863–883.
MR 3275650 · Zbl 1314.55002 · Web of Science · arXiv:1302.4075 · pdf · GoogleScholar · ResearchGate
Non-abelian resonance: product and coproduct formulas
with Stefan Papadima
Bridging Algebra, Geometry, and Topology, 269–280, Springer Proceedings in Mathematics and Statistics, vol. 96, Springer, Cham, 2014
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Multinets, parallel connections, and Milnor fibrations of arrangements
with Graham Denham
Proceedings of the London Mathematical Society 108 (2014) no. 6, 1435–1470.
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Hyperplane arrangements and Milnor fibrations
Annales de la Faculté des Sciences de Toulouse 23 (2014), no. 2, 417–481.
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Kähler groups, quasi-projective groups, and 3-manifold groups
with Stefan Friedl
Journal of the London Mathematical Society 89 (2014), no. 1, 151–168.
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Characteristic varieties and Betti numbers of free abelian covers
International Mathematics Research Notices 2014 (2014), no. 4, 1063–1124.
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Intersections of translated algebraic subtori
with Yaping Yang and Gufang Zhao
Journal of Pure and Applied Algebra 217 (2013), no. 3, 481–494.
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Homological finiteness in the Johnson filtration of the automorphism group of a free group
with Stefan Papadima
Journal of Topology 5 (2012), no. 4, 909–944.
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Geometric and homological finiteness in free abelian covers
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Resonance varieties and Dwyer-Fried invariants
Arrangements of Hyperplanes (Sapporo 2009), 359–398, Advanced Studies in Pure Mathematics, vol. 62, Kinokuniya, Tokyo, 2012.
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Quasi-Kähler groups, 3-manifold groups, and formality
with Alexandru Dimca and Stefan Papadima
Mathematische Zeitschrift 268 (2011), no. 1, 169–186.
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Fundamental groups, Alexander invariants, and cohomology jumping loci
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Algebraic monodromy and obstructions to formality
with Stefan Papadima
Forum Mathematicum 22 (2010), no. 5, 973–983.
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Bieri-Neumann-Strebel-Renz invariants and homology jumping loci
with Stefan Papadima
Proceedings of the London Mathematical Society 100 (2010), no. 3, 795–834.
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Topology and geometry of cohomology jump loci
with Alexandru Dimca and Stefan Papadima
Duke Mathematical Journal 148 (2009), no. 3, 405–457.
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Which 3-manifold groups are Kähler groups?
with Alexandru Dimca
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Toric complexes and Artin kernels
with Stefan Papadima
Advances in Mathematics 220 (2009), no. 2, 441–477.
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The boundary manifold of a complex line arrangement
with Daniel C. Cohen
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Alexander polynomials: Essential variables and multiplicities
with Alexandru Dimca and Stefan Papadima
International Mathematics Research Notices 2008 (2008), article ID rnm119, 36 pages.
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Quasi-Kähler Bestvina-Brady groups
with Alexandru Dimca and Stefan Papadima
Journal of Algebraic Geometry 17 (2008), no. 1, 185–197.
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Free abelian covers, short loops, stable length, and systolic inequalities
with Matthias Kreck
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Algebraic invariants for Bestvina-Brady groups
with Stefan Papadima
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Boundary manifolds of projective hypersurfaces
with Daniel C. Cohen
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When does the associated graded Lie algebra of an arrangement group decompose?
with Stefan Papadima
Commentarii Mathematici Helvetici 81 (2006), no. 4, 859–875.
MR 2007h:52028 · Zbl 1104.52009 · Web of Science · math.CO/0309324 · pdf · GoogleScholar · ResearchGate
On the homotopy Lie algebra of an arrangement
with Graham Denham
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Algebraic invariants for right-angled Artin groups
with Stefan Papadima
Mathematische Annalen 334 (2006), no. 3, 533–555.
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Counting homomorphisms onto finite solvable groups
with Daniel Matei
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Homotopy Lie algebras, lower central series, and the Koszul property
with Stefan Papadima
Geometry & Topology 8 (2004), 1079–1125.
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Chen Lie algebras
with Stefan Papadima
International Mathematics Research Notices 2004 (2004), no. 21, 1057–1086.
MR 2004m:17043 · Zbl 1076.17007 · Web of Science · math.GR/0307087 · pdf · GoogleScholar · ResearchGate · Wikidata
Torsion in Milnor fiber homology
with Daniel C. Cohen and Graham Denham
Algebraic and Geometric Topology 3 (2003), 511–535.
MR 2004d:32043 · Zbl 1030.32022 · Web of Science · math.GT/0302143 · pdf · GoogleScholar · ResearchGate
Rational homotopy groups and Koszul algebras
with Stefan Papadima
Comptes Rendus Mathematique 335 (2002), no. 1, 53–58.
MR 2003g:55015 · Zbl 1006.55007 · Web of Science · pdf · GoogleScholar · ResearchGate
Lower central series and free resolutions of hyperplane arrangements
with Hal Schenck
Transactions of the American Mathematical Society 354 (2002), no. 9, 3409–3433.
MR 2003k:52022 · Zbl 1057.52015 · Web of Science · math.AG/0109070 · pdf · GoogleScholar · ResearchGate
Hall invariants, homology of subgroups, and characteristic varieties
with Daniel Matei
International Mathematics Research Notices 2002 (2002), no. 9, 465–503.
MR 2003d:20055 · Zbl 1061.20040 · Web of Science · math.GR/0010046 · pdf · GoogleScholar · ResearchGate
Higher homotopy groups of complements of hyperplane arrangements
with Stefan Papadima
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Fundamental groups of line arrangements: Enumerative aspects
Advances in algebraic geometry motivated by physics (Lowell, MA, 2000), 43–79, Contemporary Mathematics, vol. 276, Amer. Math. Soc., Providence, RI, 2001.
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Systolic freedom of loop space
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Cohomology rings and nilpotent quotients of real and complex arrangements
with Daniel Matei
Arrangements—Tokyo 1998, 185–215, Advanced Studies in Pure Mathematics, vol. 27, Kinokuniya, Tokyo, 2000.
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Homotopy types of complements of 2-arrangements in R4
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Characteristic varieties of arrangements
with Daniel C. Cohen
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Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
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Alexander invariants of complex hyperplane arrangements
with Daniel C. Cohen
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Volumes, middle-dimensional systoles, and Whitehead products
with Ivan Babenko and Mikhail Katz
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Homology of iterated semidirect products of free groups
with Daniel C. Cohen
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The braid monodromy of plane algebraic curves and hyperplane arrangements
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The Chen groups of the pure braid group
with Daniel C. Cohen
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Homology isomorphisms between algebraic groups made discrete
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Inequivalent frame-spun knots with the same complement
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Inequivalent fibred knots whose homotopy Seifert pairings are isometric
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Iterated spinning and homology spheres
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Immersed spheres in CP2 and S2 x S2
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Homology 4-spheres with distinct k-invariants
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Fibered knots and spherical space forms
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k-Invariants of knotted 2-spheres
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