Edit Profile Falk, Michael J. Compute Distance To: Compute Author ID: falk.michael-j Published as: Falk, M.; Falk, Michael; Falk, Michael J. Documents Indexed: 39 Publications since 1985, including 2 Books Reviewing Activity: 73 Reviews all top 5 Co-Authors 12 single-authored 7 Randell, Richard C. 4 Cohen, Daniel C. 4 Varchenko, Alexander Nikolaevich 2 Denham, Graham 2 Terao, Hiroaki 1 Delucchi, Emanuele 1 Eschenbrenner, Carrie J. 1 Proudfoot, Nicholas J. 1 Schechtman, Vadim 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 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Topology 1 Topology and its Applications 1 Advances in Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Combinatorics 1 Annals of Combinatorics 1 Advanced Studies in Pure Mathematics 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 18 Convex and discrete geometry (52-XX) 16 Algebraic topology (55-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Combinatorics (05-XX) 6 Algebraic geometry (14-XX) 6 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 31 Publications have been cited 362 times in 222 Documents Cited by ▼ Year ▼ The lower central series of a fiber-type arrangement. Zbl 0574.55010Falk, Michael; Randell, Richard 76 1985 Arrangements and cohomology. Zbl 0941.52022Falk, Michael 42 1997 Multinets, resonance varieties, and pencils of plane curves. Zbl 1122.52009Falk, Michael; Yuzvinsky, Sergey 37 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 22 1993 On the algebra associated with a geometric lattice. Zbl 0733.05026Falk, Michael 17 1990 Combinatorial and algebraic structure in Orlik-Solomon algebras. Zbl 0984.52008Falk, Michael 13 2001 On the homotopy theory of arrangements. II. Zbl 0990.32006Falk, Michael; Randell, Richard 13 2000 \(\beta\mathbf{nbc}\)-bases for cohomology of local systems on hyperplane complements. Zbl 0869.55005Falk, Michael; Terao, Hiroaki 13 1997 Pure braid groups and products of free groups. Zbl 0669.20028Falk, Michael; Randell, Richard 11 1988 On the homotopy theory of arrangements. Zbl 0636.14003Falk, Michael; Randell, Richard 11 1987 Orlik-Solomon algebras and Tutte polynomials. Zbl 0955.52010Eschenbrenner, Carrie J.; Falk, Michael J. 10 1999 The cohomology and fundamental group of a hyperplane complement. Zbl 0697.55013Falk, Michael 10 1989 Critical points and resonance of hyperplane arrangements. Zbl 1228.32028Cohen, D.; Denham, G.; Falk, M.; Varchenko, A. 8 2011 A note on discriminantal arrangements. Zbl 0815.52013Falk, Michael 8 1994 Parallel connections and bundles of arrangements. Zbl 1002.52017Falk, Michael J.; Proudfoot, Nicholas J. 7 2002 Line-closed matroids, quadratic algebras, and formal arrangments. Zbl 1001.05039Falk, Michael 5 2002 \(K(\pi,1)\) arrangements. Zbl 0815.57019Falk, Michael 5 1995 Multivariate extreme value theory and D-norms. Zbl 1428.60002Falk, Michael 4 2019 Some results on joint record events. Zbl 06898144Falk, M.; Khorrami Chokami, A.; Padoan, S. A. 3 2018 Resonance varieties over fields of positive characteristic. Zbl 1180.14054Falk, Michael J. 3 2007 The lower central series of generalized pure braid groups. Zbl 0631.55005Falk, Michael; Randell, Richard 3 1987 On multivariate records from random vectors with independent components. Zbl 1401.60097Falk, M.; Khorrami Chokami, A.; Padoan, S. A. 2 2018 Multivariate order statistics: the intermediate case. Zbl 1387.62066Falk, Michael; Wisheckel, Florian 2 2018 An equivariant discrete model for complexified arrangement complements. Zbl 1352.05044Delucchi, Emanuele; Falk, Michael J. 2 2017 BGG resolutions via configuration spaces. 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 Pure braid groups are not residually free. Zbl 1282.20035Cohen, Daniel C.; Falk, Michael; Randell, Richard 2 2012 Generalized Pareto copulas: a key to multivariate extremes. Zbl 1428.62200Falk, Michael; Padoan, Simone A.; Wisheckel, Florian 1 2019 Vanishing products of one-forms and critical points of master functions. Zbl 1260.32007Cohen, Daniel C.; Denham, Graham; Falk, Michael; Varchenko, Alexander 1 2012 Geometry and combinatorics of resonant weights. Zbl 1281.32024Falk, Michael 1 2010 Multivariate extreme value theory and D-norms. Zbl 1428.60002Falk, Michael 4 2019 Generalized Pareto copulas: a key to multivariate extremes. Zbl 1428.62200Falk, Michael; Padoan, Simone A.; Wisheckel, Florian 1 2019 Some results on joint record events. Zbl 06898144Falk, M.; Khorrami Chokami, A.; Padoan, S. A. 3 2018 On multivariate records from random vectors with independent components. Zbl 1401.60097Falk, M.; Khorrami Chokami, A.; Padoan, S. A. 2 2018 Multivariate order statistics: the intermediate case. Zbl 1387.62066Falk, Michael; Wisheckel, Florian 2 2018 An equivariant discrete model for complexified arrangement complements. Zbl 1352.05044Delucchi, Emanuele; Falk, Michael J. 2 2017 BGG resolutions via configuration spaces. 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 Pure braid groups are not residually free. Zbl 1282.20035Cohen, Daniel C.; Falk, Michael; Randell, Richard 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. 8 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 37 2007 Resonance varieties over fields of positive characteristic. Zbl 1180.14054Falk, Michael J. 3 2007 Parallel connections and bundles of arrangements. Zbl 1002.52017Falk, Michael J.; Proudfoot, Nicholas J. 7 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 13 2001 On the homotopy theory of arrangements. II. Zbl 0990.32006Falk, Michael; Randell, Richard 13 2000 Orlik-Solomon algebras and Tutte polynomials. Zbl 0955.52010Eschenbrenner, Carrie J.; Falk, Michael J. 10 1999 Arrangements and cohomology. Zbl 0941.52022Falk, Michael 42 1997 \(\beta\mathbf{nbc}\)-bases for cohomology of local systems on hyperplane complements. Zbl 0869.55005Falk, Michael; Terao, Hiroaki 13 1997 \(K(\pi,1)\) arrangements. Zbl 0815.57019Falk, Michael 5 1995 A note on discriminantal arrangements. Zbl 0815.52013Falk, Michael 8 1994 Homotopy types of line arrangements. Zbl 0772.52011Falk, Michael 22 1993 On the algebra associated with a geometric lattice. Zbl 0733.05026Falk, Michael 17 1990 The cohomology and fundamental group of a hyperplane complement. Zbl 0697.55013Falk, Michael 10 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 11 1988 On the homotopy theory of arrangements. Zbl 0636.14003Falk, Michael; Randell, Richard 11 1987 The lower central series of generalized pure braid groups. Zbl 0631.55005Falk, Michael; Randell, Richard 3 1987 The lower central series of a fiber-type arrangement. Zbl 0574.55010Falk, Michael; Randell, Richard 76 1985 all cited Publications top 5 cited Publications all top 5 Cited by 190 Authors 23 Suciu, Alexander I. 16 Papadima, Ștefan 13 Falk, Michael J. 11 Cohen, Daniel C. 10 Denham, Graham 8 Guaschi, John 7 Dimca, Alexandru 6 Cohen, Frederick Ronald 6 Gonçalves, Daciberg Lima 6 Korchmáros, Gábor 6 Yoshinaga, Masahiko 6 Yuzvinsky, Sergey 5 Bardakov, Valeriĭ Georgievich 5 Nagy, Gábor Péter 5 Schenck, Hal 5 Settepanella, Simona 5 Yau, Stephen Shing-Toung 4 Cordovil, Raul 4 Guo, Weili 4 Măcinic, Daniela Anca 4 Padoan, Simone A. 4 Röhrle, Gerhard E. 4 Salvetti, Mario 4 Terao, Hiroaki 4 Torielli, Michele 4 Wang, He 3 Amend, Nils 3 Artal Bartolo, Enrique 3 Bellingeri, Paolo 3 Cogolludo Agustín, José Ignacio 3 Guerville-Ballé, Benoît 3 Jambu, Michel 3 Jiang, Guangfeng 3 Jiang, Tan 3 Kawahara, Yukihito 3 Libgober, Anatoly S. 3 Marin, Ivan 3 Orlik, Peter 3 Vershinin, Vladimir V. 3 Williams, Kristopher 3 Wu, Jie 2 Bartz, Jeremiah 2 Berceanu, Barbu Rudolf 2 Delucchi, Emanuele 2 Edelman, Paul H. 2 Falk, Michael 2 Friedman, Michael 2 Gaiffi, Giovanni 2 Garrousian, Mehdi 2 Gervais, Sylvain 2 Golubeva, Valentina Alekseevna 2 Guo, Qiumin 2 Huh, June 2 Khorrami Chokami, Amir 2 Kofinas, Constantinos E. 2 Kohno, Toshitake 2 Kung, Joseph P. S. 2 Le, Dinh Van 2 Leksin, Vladimir Pavlovich 2 Marco-Buzunáriz, Miguel A. 2 Metaftsis, Vassilis 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 Reiner, Victor 2 Schick, Thomas 2 Schulze, Mathias 2 Serventi, Matteo 2 Varchenko, Alexander Nikolaevich 2 Wakefield, Max D. 2 Walther, Uli 2 Wisheckel, Florian 2 Xicoténcatl, Miguel A. 2 Ziegler, Günter Matthias 1 Adiprasito, Karim Alexander 1 Aguilar Aguilar, Rodolfo 1 Ardila Mantilla, Federico 1 Bailet, Pauline 1 Barakat, Haroon Mohamed 1 Bayer, Margaret M. 1 Berrick, A. Jon 1 Billey, Sara C. 1 Bingham, Nicholas Hugh 1 Blokhuis, Aart 1 Bogya, N. 1 Brandt, Keith A. 1 Buzunáriz, Miguel Ángel Marco 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 Douai, Antoine ...and 90 more Authors all top 5 Cited in 80 Serials 20 Topology and its Applications 13 Advances in Mathematics 13 Proceedings of the American Mathematical Society 12 Journal of Algebra 11 Transactions of the American Mathematical Society 8 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 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 Geometriae Dedicata 3 Inventiones Mathematicae 3 Journal of Applied Probability 3 Science in China. Series A 3 Journal of Knot Theory and its Ramifications 3 Journal of Singularities 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 The Australasian Journal of Combinatorics 2 Geometry & Topology 2 Revista Matemática Complutense 2 Oberwolfach Reports 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 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 Tokyo Journal of Mathematics 1 Statistics & Probability Letters 1 Combinatorica 1 Statistics 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 Indian Academy of Sciences. Mathematical Sciences 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Mathematics 1 Dependence Modeling 1 Arnold Mathematical Journal all top 5 Cited in 30 Fields 97 Convex and discrete geometry (52-XX) 81 Group theory and generalizations (20-XX) 67 Algebraic geometry (14-XX) 67 Several complex variables and analytic spaces (32-XX) 55 Algebraic topology (55-XX) 48 Manifolds and cell complexes (57-XX) 38 Combinatorics (05-XX) 15 Commutative algebra (13-XX) 14 Associative rings and algebras (16-XX) 12 Nonassociative rings and algebras (17-XX) 9 Geometry (51-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 6 Special functions (33-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year