Edit Profile (opens in new tab) Falk, Michael J. Compute Distance To: Compute Author ID: falk.michael-j Published as: Falk, Michael; Falk, Michael J.; Falk, M. Documents Indexed: 30 Publications since 1985 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 75 Reviews Co-Authors: 10 Co-Authors with 19 Joint Publications 227 Co-Co-Authors all top 5 Co-Authors 12 single-authored 7 Randell, Richard C. 5 Cohen, Daniel C. 4 Varchenko, Alexander Nikolaevich 3 Denham, Graham 2 Terao, Hiroaki 1 Altıntaş Sharland, Ayşe 1 Brady, Thomas 1 Delucchi, Emanuele 1 Eschenbrenner, Carrie J. 1 Lê Dûng Tráng 1 Matei, Daniel 1 Mond, David Michael Quentin 1 Proudfoot, Nicholas J. 1 Sarıoğlu, Celal Cem 1 Schechtman, Vadim 1 Suciu, Alexander I. 1 Watt, Colum 1 Yoshinaga, Masahiko 1 Yuzvinsky, Sergey all top 5 Serials 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Topology 1 Topology and its Applications 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Combinatorics 1 Annals of Combinatorics 1 Algebraic & Geometric Topology 1 Advanced Studies in Pure Mathematics 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 20 Convex and discrete geometry (52-XX) 16 Algebraic topology (55-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 6 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 361 times in 226 Documents Cited by ▼ Year ▼ The lower central series of a fiber-type arrangement. Zbl 0574.55010Falk, Michael; Randell, Richard 82 1985 Arrangements and cohomology. Zbl 0941.52022Falk, Michael 43 1997 Multinets, resonance varieties, and pencils of plane curves. Zbl 1122.52009Falk, Michael; Yuzvinsky, Sergey 39 2007 The minimal model of the complement of an arrangement of hyperplanes. Zbl 0707.57001Falk, Michael 26 1988 Homotopy types of line arrangements. Zbl 0772.52011Falk, Michael 23 1993 On the algebra associated with a geometric lattice. Zbl 0733.05026Falk, Michael 18 1990 On the homotopy theory of arrangements. II. Zbl 0990.32006Falk, Michael; Randell, Richard 14 2000 Combinatorial and algebraic structure in Orlik-Solomon algebras. Zbl 0984.52008Falk, Michael 14 2001 \(\beta\mathbf{nbc}\)-bases for cohomology of local systems on hyperplane complements. Zbl 0869.55005Falk, Michael; Terao, Hiroaki 14 1997 A note on discriminantal arrangements. Zbl 0815.52013Falk, Michael 11 1994 Orlik-Solomon algebras and Tutte polynomials. Zbl 0955.52010Eschenbrenner, Carrie J.; Falk, Michael J. 10 1999 Critical points and resonance of hyperplane arrangements. Zbl 1228.32028Cohen, D.; Denham, G.; Falk, M.; Varchenko, A. 9 2011 On the homotopy theory of arrangements. Zbl 0636.14003Falk, Michael; Randell, Richard 8 1987 Parallel connections and bundles of arrangements. Zbl 1002.52017Falk, Michael J.; Proudfoot, Nicholas J. 8 2002 The cohomology and fundamental group of a hyperplane complement. Zbl 0697.55013Falk, Michael 8 1989 \(K(\pi,1)\) arrangements. Zbl 0815.57019Falk, Michael 6 1995 Pure braid groups and products of free groups. Zbl 0669.20028Falk, Michael; Randell, Richard 5 1988 Line-closed matroids, quadratic algebras, and formal arrangments. Zbl 1001.05039Falk, Michael 5 2002 Resonance varieties over fields of positive characteristic. Zbl 1180.14054Falk, Michael J. 4 2007 Pure braid groups are not residually free. Zbl 1282.20035Cohen, Daniel C.; Falk, Michael; Randell, Richard 3 2012 The lower central series of generalized pure braid groups. Zbl 0631.55005Falk, Michael; Randell, Richard 2 1987 BGG resolutions via configuration spaces. (Résolutions BGG via les espaces de configurations.) Zbl 1323.55013Falk, Michael; Schechtman, Vadim; Varchenko, Alexander 2 2014 The contravariant form on singular vectors of a projective arrangement. Zbl 1400.14138Falk, Michael J.; Varchenko, Alexander N. 2 2012 An equivariant discrete model for complexified arrangement complements. Zbl 1352.05044Delucchi, Emanuele; Falk, Michael J. 2 2017 Discriminantal bundles, arrangement groups, and subdirect products of free groups. Zbl 1481.20132Cohen, Daniel C.; Falk, Michael J.; Randell, Richard C. 1 2020 Geometry and combinatorics of resonant weights. Zbl 1281.32024Falk, Michael 1 2010 Vanishing products of one-forms and critical points of master functions. Zbl 1260.32007Cohen, Daniel C.; Denham, Graham; Falk, Michael; Varchenko, Alexander 1 2012 Discriminantal bundles, arrangement groups, and subdirect products of free groups. Zbl 1481.20132Cohen, Daniel C.; Falk, Michael J.; Randell, Richard C. 1 2020 An equivariant discrete model for complexified arrangement complements. Zbl 1352.05044Delucchi, Emanuele; Falk, Michael J. 2 2017 BGG resolutions via configuration spaces. (Résolutions BGG via les espaces de configurations.) Zbl 1323.55013Falk, Michael; Schechtman, Vadim; Varchenko, Alexander 2 2014 Pure braid groups are not residually free. Zbl 1282.20035Cohen, Daniel C.; Falk, Michael; Randell, Richard 3 2012 The contravariant form on singular vectors of a projective arrangement. Zbl 1400.14138Falk, Michael J.; Varchenko, Alexander N. 2 2012 Vanishing products of one-forms and critical points of master functions. Zbl 1260.32007Cohen, Daniel C.; Denham, Graham; Falk, Michael; Varchenko, Alexander 1 2012 Critical points and resonance of hyperplane arrangements. Zbl 1228.32028Cohen, D.; Denham, G.; Falk, M.; Varchenko, A. 9 2011 Geometry and combinatorics of resonant weights. Zbl 1281.32024Falk, Michael 1 2010 Multinets, resonance varieties, and pencils of plane curves. Zbl 1122.52009Falk, Michael; Yuzvinsky, Sergey 39 2007 Resonance varieties over fields of positive characteristic. Zbl 1180.14054Falk, Michael J. 4 2007 Parallel connections and bundles of arrangements. Zbl 1002.52017Falk, Michael J.; Proudfoot, Nicholas J. 8 2002 Line-closed matroids, quadratic algebras, and formal arrangments. Zbl 1001.05039Falk, Michael 5 2002 Combinatorial and algebraic structure in Orlik-Solomon algebras. Zbl 0984.52008Falk, Michael 14 2001 On the homotopy theory of arrangements. II. Zbl 0990.32006Falk, Michael; Randell, Richard 14 2000 Orlik-Solomon algebras and Tutte polynomials. Zbl 0955.52010Eschenbrenner, Carrie J.; Falk, Michael J. 10 1999 Arrangements and cohomology. Zbl 0941.52022Falk, Michael 43 1997 \(\beta\mathbf{nbc}\)-bases for cohomology of local systems on hyperplane complements. Zbl 0869.55005Falk, Michael; Terao, Hiroaki 14 1997 \(K(\pi,1)\) arrangements. Zbl 0815.57019Falk, Michael 6 1995 A note on discriminantal arrangements. Zbl 0815.52013Falk, Michael 11 1994 Homotopy types of line arrangements. Zbl 0772.52011Falk, Michael 23 1993 On the algebra associated with a geometric lattice. Zbl 0733.05026Falk, Michael 18 1990 The cohomology and fundamental group of a hyperplane complement. Zbl 0697.55013Falk, Michael 8 1989 The minimal model of the complement of an arrangement of hyperplanes. Zbl 0707.57001Falk, Michael 26 1988 Pure braid groups and products of free groups. Zbl 0669.20028Falk, Michael; Randell, Richard 5 1988 On the homotopy theory of arrangements. Zbl 0636.14003Falk, Michael; Randell, Richard 8 1987 The lower central series of generalized pure braid groups. Zbl 0631.55005Falk, Michael; Randell, Richard 2 1987 The lower central series of a fiber-type arrangement. Zbl 0574.55010Falk, Michael; Randell, Richard 82 1985 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 25 Suciu, Alexander I. 16 Papadima, Ștefan 12 Cohen, Daniel C. 11 Falk, Michael J. 10 Denham, Graham 9 Guaschi, John 8 Dimca, Alexandru 8 Gonçalves, Daciberg Lima 6 Cohen, Frederick Ronald 6 Korchmáros, Gábor 6 Yoshinaga, Masahiko 5 Bardakov, Valeriĭ Georgievich 5 Guo, Weili 5 Nagy, Gábor Péter 5 Röhrle, Gerhard E. 5 Schenck, Hal 5 Settepanella, Simona 5 Torielli, Michele 5 Yau, Stephen Shing-Toung 4 Cordovil, Raul 4 Guerville-Ballé, Benoît 4 Libgober, Anatoly S. 4 Măcinic, Daniela Anca 4 Salvetti, Mario 4 Terao, Hiroaki 4 Wang, He 4 Yuzvinsky, Sergey 3 Amend, Nils 3 Artal Bartolo, Enrique 3 Bellingeri, Paolo 3 Cogolludo Agustín, José Ignacio 3 Jambu, Michel 3 Jiang, Guangfeng 3 Jiang, Tan 3 Kawahara, Yukihito 3 Marco-Buzunáriz, Miguel A. 3 Marin, Ivan 3 Ocampo Uribe, Oscar Eduardo 3 Orlik, Peter 3 Vershinin, Vladimir V. 3 Williams, Kristopher 3 Wu, Jie 2 Bartz, Jeremiah 2 Berceanu, Barbu Rudolf 2 Delucchi, Emanuele 2 Feichtner, Eva Maria 2 Friedman, Michael 2 Gaiffi, Giovanni 2 Garrousian, Mehdi 2 Golubeva, Valentina Alekseevna 2 Guo, Qiumin 2 Huh, June 2 Kofinas, Constantinos E. 2 Kohno, Toshitake 2 Le, Dinh Van 2 Leksin, Vladimir Pavlovich 2 Mikhaĭlov, Roman Valer’evich 2 Nguyen Viet Dung 2 Pace, Nicola 2 Papistas, Athanassios I. 2 Paris, Luis 2 Peeva, Irena V. 2 Proudfoot, Nicholas J. 2 Schick, Thomas 2 Schulze, Mathias 2 Serventi, Matteo 2 Varchenko, Alexander Nikolaevich 2 Wakefield, Max D. 2 Walther, Uli 2 Xicoténcatl, Miguel A. 2 Ziegler, Günter Matthias 1 Abe, Takuro 1 Adiprasito, Karim Alexander 1 Aguilar Aguilar, Rodolfo 1 Ardila, Federico 1 Bailet, Pauline 1 Bayer, Margaret M. 1 Berrick, A. Jon 1 Billey, Sara C. 1 Blokhuis, Aart 1 Bogya, Norbert 1 Brandt, Keith A. 1 Brown, Francis C. S. 1 Chen, Beifang 1 Choudary, A. D. R. 1 Church, Thomas 1 Cong, Tran Quoc 1 Conner, Andrew 1 Damon, James Norman 1 de Miranda e Pereiro, Carolina 1 Deligne, Pierre René 1 Deshpande, Priyavrat 1 Dotsenko, Vladimir Viktorovich 1 Douai, Antoine 1 Dunn, Corey M. 1 Dupont, Clément 1 Edelman, Paul H. 1 Eisenbud, David 1 Elduque, Eva 1 Eliyahu, Meital ...and 85 more Authors all top 5 Cited in 78 Serials 22 Topology and its Applications 12 Advances in Mathematics 12 Proceedings of the American Mathematical Society 11 Journal of Algebra 11 Transactions of the American Mathematical Society 10 Advances in Applied Mathematics 7 Journal of Pure and Applied Algebra 6 Communications in Algebra 5 Compositio Mathematica 5 European Journal of Combinatorics 5 Algebraic & Geometric Topology 5 European Journal of Mathematics 4 Inventiones Mathematicae 4 Graphs and Combinatorics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Algebraic Combinatorics 4 Annals of Combinatorics 3 Annales de l’Institut Fourier 3 Geometriae Dedicata 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Science in China. Series A 3 Journal of Knot Theory and its Ramifications 3 Oberwolfach Reports 3 Journal of Singularities 2 Duke Mathematical Journal 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 The Australasian Journal of Combinatorics 2 Geometry & Topology 2 Revista Matemática Complutense 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Algebra and Logic 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Combinatorica 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Sugaku Expositions 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Experimental Mathematics 1 Algebra Colloquium 1 Annales Mathématiques Blaise Pascal 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 Journal of Group Theory 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Journal of Topology 1 Journal of Commutative Algebra 1 Mathematics 1 Arnold Mathematical Journal all top 5 Cited in 25 Fields 102 Convex and discrete geometry (52-XX) 87 Group theory and generalizations (20-XX) 77 Algebraic geometry (14-XX) 73 Several complex variables and analytic spaces (32-XX) 58 Algebraic topology (55-XX) 53 Manifolds and cell complexes (57-XX) 39 Combinatorics (05-XX) 17 Commutative algebra (13-XX) 16 Associative rings and algebras (16-XX) 13 Nonassociative rings and algebras (17-XX) 10 Geometry (51-XX) 7 Special functions (33-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 \(K\)-theory (19-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year