Reduced resonance schemes and Chen ranks
with Marian Aprodu, Gavril Farkas, and Claudiu Raicu
Journal für die reine und angewandte Mathematik 814 (2024), 205–240.
MR 4793344 · arXiv:2303.07855 · pdf · Web of Science · GoogleScholar · ResearchGate · zbMath
Higher resonance schemes and Koszul modules of simplicial complexes
with Marian Aprodu, Gavril Farkas, Claudiu Raicu, and Alessio Sammartano
Journal of Algebraic Combinatorics 59 (2024), no. 4, 787–805.
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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.
MR 4650243 · Zbl 07754579 · Web of Science · arXiv:2205.10716 · pdf · GoogleScholar · ResearchGate
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
Manuscripta Mathematica 67 (2022), no. 1-2, 89–123.
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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.
MR 4151729 · Zbl 1530.20110 · Web of Science · arXiv:1905.10355 · pdf · GoogleScholar · ResearchGate
Homology, lower central series, and hyperplane arrangements
with Richard D. Porter
European Journal of Mathematics 6 (2020), no. 3, 1039–1072.
MR 4151728 · Zbl 1530.20109 · Web of Science · arXiv:1906.04885 · pdf · GoogleScholar · ResearchGate
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.
MR 4031243 · Zbl 1454.55013 · Web of Science · arXiv:1511.08948 · pdf · GoogleScholar · ResearchGate
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 1515.20177 · 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.
MR 3909253 · Zbl 1418.55009 · Web of Science · arXiv:1711.07085 · pdf · GoogleScholar · ResearchGate
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
Configuration Spaces: Geometry, Topology and Representation Theory, 1–39, Springer INdAM series, vol. 14, Springer, Cham, 2016.
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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.
MR 3467321 · Zbl 1339.32013 · Web of Science · arXiv:1510.01400 · pdf · GoogleScholar · ResearchGate
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.
MR 3410255 · Zbl 1389.14020 · Web of Science · arXiv:1407.8027 · pdf · GoogleScholar · ResearchGate
Homological finiteness of abelian covers
with Yaping Yang and Gufang Zhao
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 14 (2015), no. 1, 101–153.
MR 3379489 · Zbl 1349.55003 · Web of Science · arXiv:1204.4873 · pdf · GoogleScholar · ResearchGate
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
MR 3297121 · Zbl 1372.16007 · Web of Science · arXiv:1312.1828 · pdf · GoogleScholar · ResearchGate
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.
MR 2974227 · Zbl 1278.20062 · Web of Science · arXiv:1109.1023 · pdf · GoogleScholar · ResearchGate
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.
MR 2933803 · Zbl 1273.14110 · Web of Science · arXiv:1111.4534 · pdf · GoogleScholar · ResearchGate
Quasi-Kähler groups, 3-manifold groups, and formality
with Alexandru Dimca and Stefan Papadima
Mathematische Zeitschrift 268 (2011), no. 1, 169–186.
MR 2805428 · Zbl 1228.14018 · Web of Science · arXiv:0810.2158 · pdf · GoogleScholar · ResearchGate
Fundamental groups, Alexander invariants, and cohomology jumping loci
Topology of algebraic varieties and singularities, 179–223, Contemporary Mathematics, vol. 538, Amer. Math. Soc., Providence, RI, 2011.
MR 2012b:20092 · Zbl 1214.14017 · Web of Science · arXiv:0910.1559 · pdf · GoogleScholar · ResearchGate
Algebraic monodromy and obstructions to formality
with Stefan Papadima
Forum Mathematicum 22 (2010), no. 5, 973–983.
MR 2011j:57004 · Zbl 1229.57002 · Web of Science · arXiv:0901.0105 · pdf · GoogleScholar · ResearchGate
Bieri-Neumann-Strebel-Renz invariants and homology jumping loci
with Stefan Papadima
Proceedings of the London Mathematical Society 100 (2010), no. 3, 795–834.
MR 2011i:55006 · Zbl 1273.55003 · Web of Science · arXiv:0812.2660 · pdf · GoogleScholar · ResearchGate
Topology and geometry of cohomology jump loci
with Alexandru Dimca and Stefan Papadima
Duke Mathematical Journal 148 (2009), no. 3, 405–457.
MR 2011b:14047 · Zbl 1222.14035 · Web of Science · arXiv:0902.1250 · pdf · GoogleScholar · ResearchGate
Which 3-manifold groups are Kähler groups?
with Alexandru Dimca
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MR 2011f:32041 · Zbl 1217.57011 · Web of Science · arXiv:0709.4350 · pdf · GoogleScholar · ResearchGate
Toric complexes and Artin kernels
with Stefan Papadima
Advances in Mathematics 220 (2009), no. 2, 441–477.
MR 2010h:57007 · Zbl 1208.57002 · Web of Science · arXiv:0801.3626 · pdf · GoogleScholar · ResearchGate
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.
MR 2009i:32036 · Zbl 1156.32018 · Web of Science · arXiv:0706.2499 · pdf · GoogleScholar · ResearchGate
Quasi-Kähler Bestvina-Brady groups
with Alexandru Dimca and Stefan Papadima
Journal of Algebraic Geometry 17 (2008), no. 1, 185–197.
MR 2008i:20052 · Zbl 1176.20037 · Web of Science · math.AG/0603446 · pdf · GoogleScholar · ResearchGate
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
Michigan Mathematical Journal 54 (2006), no. 2, 319–340.
MR 2007f:17039 · Zbl 1198.17012 · Web of Science · math.AT/0502417 · pdf · GoogleScholar · ResearchGate · Wikidata
Algebraic invariants for right-angled Artin groups
with Stefan Papadima
Mathematische Annalen 334 (2006), no. 3, 533–555.
MR 2006k:20078 · Zbl 1165.20032 · Web of Science · math.GR/0412520 · pdf · GoogleScholar · ResearchGate
Counting homomorphisms onto finite solvable groups
with Daniel Matei
Journal of Algebra 286 (2005), no. 1, 161–186.
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Homotopy Lie algebras, lower central series, and the Koszul property
with Stefan Papadima
Geometry & Topology 8 (2004), 1079–1125.
MR 2005g:55022 · Zbl 1127.55004 · Web of Science · math.AT/0110303 · pdf · GoogleScholar · ResearchGate
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
Advances in Mathematics 165 (2002), no. 1, 71–100.
MR 2003b:55019 · Zbl 1019.52016 · Web of Science · math.AT/0002251 · pdf · GoogleScholar · ResearchGate
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.
MR 2002k:14029 · Zbl 0998.14012 · Web of Science · math.AG/0010105 · pdf · GoogleScholar · ResearchGate
Systolic freedom of loop space
with Mikhail Katz
Geometric and Functional Analysis 11 (2001), no. 1, 60–73.
MR 2002c:53067 · Zbl 1048.53030 · Web of Science · math.DG/0106153 · pdf · GoogleScholar · ResearchGate
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.
MR 2002b:32045 · Zbl 0974.32020 · Web of Science · math.GT/9812087 · pdf · GoogleScholar · ResearchGate
Homotopy types of complements of 2-arrangements in R4
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MR 2000h:55028 · Zbl 0940.55010 · Web of Science · math.GT/9712251 · pdf · GoogleScholar · ResearchGate
Characteristic varieties of arrangements
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Mathematical Proceedings of the Cambridge Philosophical Society 127 (1999), no. 1, 33–53.
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Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
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Tel Aviv Topology Conference: Rothenberg Festschrift (1998), 113–136, Contemporary Mathematics, vol. 231, Amer. Math. Soc., Providence, RI, 1999.
MR 2000i:53063 · Zbl 0967.53024 · Web of Science · math.DG/9810172 · pdf · GoogleScholar · ResearchGate
Alexander invariants of complex hyperplane arrangements
with Daniel C. Cohen
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MR 99m:52019 · Zbl 0945.20024 · Web of Science · alg-geom/9703030 · pdf · GoogleScholar · ResearchGate
Volumes, middle-dimensional systoles, and Whitehead products
with Ivan Babenko and Mikhail Katz
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MR 99m:53084 · Zbl 0933.53022 · Web of Science · dg-ga/9707016 · pdf · GoogleScholar · ResearchGate
Homology of iterated semidirect products of free groups
with Daniel C. Cohen
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MR 99e:20064 · Zbl 0908.20033 · Web of Science · alg-geom/9503002 · pdf · GoogleScholar · ResearchGate
The braid monodromy of plane algebraic curves and hyperplane arrangements
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Commentarii Mathematici Helvetici 72 (1997), no. 2, 285–315.
MR 98f:52012 · Zbl 0959.52018 · Web of Science · alg-geom/9608001 · pdf · GoogleScholar · ResearchGate · Wikidata
The Chen groups of the pure braid group
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The Cech Centennial (Boston, MA, 1993), 45–64, Contemporary Mathematics, vol. 181, Amer. Math. Soc., Providence, RI, 1995.
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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
with John R. Klein
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Iterated spinning and homology spheres
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The oriented homotopy type of spun 3-manifolds
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Immersed spheres in CP2 and S2 x S2
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MR 88j:57038 · Zbl 0608.57025 · Web of Science · GoogleScholar · ResearchGate
Homology 4-spheres with distinct k-invariants
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Fibered knots and spherical space forms
with Steven Plotnick
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k-Invariants of knotted 2-spheres
with Steven Plotnick
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