## Randell, Richard C.

Compute Distance To:
 Author ID: randell.richard-c Published as: Randell, Richard; Randell, Richard C.; Randell, R. more...less
 Documents Indexed: 35 Publications since 1974 1 Contribution as Editor Co-Authors: 6 Co-Authors with 12 Joint Publications 83 Co-Co-Authors
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### Co-Authors

 24 single-authored 7 Falk, Michael J. 3 Orlik, Peter 2 Cohen, Daniel C. 1 Hauser, Herwig 1 Simon, Jonathan K. 1 Tokle, Joshua
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### Serials

 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Journal of Knot Theory and its Ramifications 1 Arkiv för Matematik 1 Mathematica Scandinavica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Topology and its Applications 1 Algebraic & Geometric Topology 1 Bulletin of the American Mathematical Society 1 Contemporary Mathematics 1 European Journal of Mathematics
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### Fields

 20 Manifolds and cell complexes (57-XX) 17 Algebraic geometry (14-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Algebraic topology (55-XX) 6 Group theory and generalizations (20-XX) 5 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

31 Publications have been cited 283 times in 224 Documents Cited by Year
The lower central series of a fiber-type arrangement. Zbl 0574.55010
Falk, Michael; Randell, Richard
1985
Lattice-isotopic arrangements are topologically isomorphic. Zbl 0681.57016
Randell, Richard
1989
Morse theory, Milnor fibers and minimality of hyperplane arrangements. Zbl 1004.32010
Randell, Richard
2002
The homology of generalized Brieskorn manifolds. Zbl 0317.57012
Randell, Richard C.
1975
The fundamental group of the complement of a union of complex hyperplanes. Zbl 0505.14017
Randell, Richard
1982
On the homotopy theory of arrangements. II. Zbl 0990.32006
Falk, Michael; Randell, Richard
2000
The fundamental group of the complement of a union of complex hyperplanes: Correction. Zbl 0596.14014
Randell, Richard
1985
An elementary invariant of knots. Zbl 0841.57015
Randell, Richard
1994
On the homotopy theory of arrangements. Zbl 0636.14003
Falk, Michael; Randell, Richard
1987
The monodromy of weighted homogeneous singularities. Zbl 0341.14001
Orlik, P.; Randell, R.
1977
The Milnor fiber of a generic arrangement. Zbl 0807.32029
Orlik, Peter; Randell, Richard
1993
Homotopy and group cohomology of arrangements. Zbl 0880.55007
Randell, Richard
1997
Pure braid groups and products of free groups. Zbl 0669.20028
Falk, Michael; Randell, Richard
1988
On the topology of non-isolated singularities. Zbl 0473.57007
Randell, Richard
1979
Pure braid groups are not residually free. Zbl 1282.20035
Cohen, Daniel C.; Falk, Michael; Randell, Richard
2012
The structures of weighted homogeneous polynomials. Zbl 0356.57030
Orlik, P.; Randell, R.
1977
The Milnor number of some isolated complete intersection singularities with $$C^*$$-action. Zbl 0364.57008
Randell, Richard
1978
Milnor fibrations of lattice-isotopic arrangements. Zbl 0902.52004
Randell, Richard
1997
Conformation spaces of molecular rings. Zbl 0655.05064
Randell, Richard
1988
Invariants of piecewise-linear knots. Zbl 0901.57014
Randell, Richard
1998
Quotients of complete intersections by $$\mathbb{C}^*$$ actions. Zbl 0371.32011
Randell, Richard
1978
Some topology of Zariski surfaces. Zbl 0433.14020
Randell, Richard
1980
Generalized Brieskorn manifolds. Zbl 0297.57018
Randell, Richard C.
1974
The lower central series of generalized pure braid groups. Zbl 0631.55005
Falk, Michael; Randell, Richard
1987
A molecular conformation space. Zbl 0651.57003
Randell, Richard
1988
Milnor fibers and Alexander polynomials of plane curves. Zbl 0524.14027
Randell, Richard
1983
On the fundamental group of the complement of a singular plane curve. Zbl 0448.14006
Randell, Richard
1980
Index invariants of orbit spaces. Zbl 0306.58015
Randell, Richard
1975
Möbius transformations of polygons and partitions of 3-space. Zbl 1160.57008
Randell, Richard; Simon, Jonathan; Tokle, Joshua
2008
Report on the problem session. Zbl 0673.32001
Hauser, H.; Randell, R.
1989
Discriminantal bundles, arrangement groups, and subdirect products of free groups. Zbl 1481.20132
Cohen, Daniel C.; Falk, Michael J.; Randell, Richard C.
2020
Discriminantal bundles, arrangement groups, and subdirect products of free groups. Zbl 1481.20132
Cohen, Daniel C.; Falk, Michael J.; Randell, Richard C.
2020
Pure braid groups are not residually free. Zbl 1282.20035
Cohen, Daniel C.; Falk, Michael; Randell, Richard
2012
Möbius transformations of polygons and partitions of 3-space. Zbl 1160.57008
Randell, Richard; Simon, Jonathan; Tokle, Joshua
2008
Morse theory, Milnor fibers and minimality of hyperplane arrangements. Zbl 1004.32010
Randell, Richard
2002
On the homotopy theory of arrangements. II. Zbl 0990.32006
Falk, Michael; Randell, Richard
2000
Invariants of piecewise-linear knots. Zbl 0901.57014
Randell, Richard
1998
Homotopy and group cohomology of arrangements. Zbl 0880.55007
Randell, Richard
1997
Milnor fibrations of lattice-isotopic arrangements. Zbl 0902.52004
Randell, Richard
1997
An elementary invariant of knots. Zbl 0841.57015
Randell, Richard
1994
The Milnor fiber of a generic arrangement. Zbl 0807.32029
Orlik, Peter; Randell, Richard
1993
Lattice-isotopic arrangements are topologically isomorphic. Zbl 0681.57016
Randell, Richard
1989
Report on the problem session. Zbl 0673.32001
Hauser, H.; Randell, R.
1989
Pure braid groups and products of free groups. Zbl 0669.20028
Falk, Michael; Randell, Richard
1988
Conformation spaces of molecular rings. Zbl 0655.05064
Randell, Richard
1988
A molecular conformation space. Zbl 0651.57003
Randell, Richard
1988
On the homotopy theory of arrangements. Zbl 0636.14003
Falk, Michael; Randell, Richard
1987
The lower central series of generalized pure braid groups. Zbl 0631.55005
Falk, Michael; Randell, Richard
1987
The lower central series of a fiber-type arrangement. Zbl 0574.55010
Falk, Michael; Randell, Richard
1985
The fundamental group of the complement of a union of complex hyperplanes: Correction. Zbl 0596.14014
Randell, Richard
1985
Milnor fibers and Alexander polynomials of plane curves. Zbl 0524.14027
Randell, Richard
1983
The fundamental group of the complement of a union of complex hyperplanes. Zbl 0505.14017
Randell, Richard
1982
Some topology of Zariski surfaces. Zbl 0433.14020
Randell, Richard
1980
On the fundamental group of the complement of a singular plane curve. Zbl 0448.14006
Randell, Richard
1980
On the topology of non-isolated singularities. Zbl 0473.57007
Randell, Richard
1979
The Milnor number of some isolated complete intersection singularities with $$C^*$$-action. Zbl 0364.57008
Randell, Richard
1978
Quotients of complete intersections by $$\mathbb{C}^*$$ actions. Zbl 0371.32011
Randell, Richard
1978
The monodromy of weighted homogeneous singularities. Zbl 0341.14001
Orlik, P.; Randell, R.
1977
The structures of weighted homogeneous polynomials. Zbl 0356.57030
Orlik, P.; Randell, R.
1977
The homology of generalized Brieskorn manifolds. Zbl 0317.57012
Randell, Richard C.
1975
Index invariants of orbit spaces. Zbl 0306.58015
Randell, Richard
1975
Generalized Brieskorn manifolds. Zbl 0297.57018
Randell, Richard C.
1974
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### Cited by 213 Authors

 15 Suciu, Alexander I. 10 Cohen, Daniel C. 9 Guaschi, John 9 Papadima, Ștefan 8 Dimca, Alexandru 8 Falk, Michael J. 8 Gonçalves, Daciberg Lima 7 Randell, Richard C. 6 Cohen, Frederick Ronald 6 Yoshinaga, Masahiko 5 Bardakov, Valeriĭ Georgievich 5 Oh, Seungsang 5 Orlik, Peter 5 Röhrle, Gerhard E. 5 Settepanella, Simona 5 Teicher, Mina 5 Yau, Stephen Shing-Toung 4 Denham, Graham 4 Huh, Youngsik 4 Salvetti, Mario 4 van Koert, Otto 4 Wang, He 3 Amend, Nils 3 Amram, Meirav 3 Bellingeri, Paolo 3 Boyer, Charles P. 3 Guerville-Ballé, Benoît 3 Jambu, Michel 3 Kirillov, Anatol N. 3 Kohno, Toshitake 3 Leksin, Vladimir Pavlovich 3 Marin, Ivan 3 Nguyen Viet Dung 3 No, Sungjong 3 Ocampo Uribe, Oscar Eduardo 3 Paris, Luis 3 Shonkwiler, Clayton 3 Siersma, Dirk 3 Terao, Hiroaki 3 Vershinin, Vladimir V. 3 Wu, Jie 3 Ye, Fei 2 Abe, Kinetsu 2 Abe, Takuro 2 Bailet, Pauline 2 Cohen, Moshe 2 Cordovil, Raul 2 Delucchi, Emanuele 2 Edelman, Paul H. 2 Eliyahu, Meital 2 Feichtner, Eva Maria 2 Garber, David 2 Hertling, Claus 2 Kofinas, Constantinos E. 2 Lee, Junghoon 2 Măcinic, Daniela Anca 2 Massey, David Bradley 2 Mikhaĭlov, Roman Valer’evich 2 Möller, Tilman 2 Papistas, Athanassios I. 2 Peeva, Irena V. 2 Reiner, Victor 2 Saito, Morihiko 2 Schenck, Hal 2 Schick, Thomas 2 Simon, Jonathan K. 2 Tibăr, Mihai-Marius 2 Xicoténcatl, Miguel A. 2 Yuzvinsky, Sergey 1 Adiprasito, Karim Alexander 1 Aguilar Aguilar, Rodolfo 1 Aramaki, Daisuke 1 Artal Bartolo, Enrique 1 Balnojan, Sven 1 Batzies, Ekkehard 1 Berceanu, Barbu Rudolf 1 Berrick, A. Jon 1 Blair, Ryan C. 1 Buck, Gregory R. 1 Budur, Nero 1 Casals, Roger 1 Chapman, Kyle Leland 1 Choudary, A. D. R. 1 Cogolludo Agustín, José Ignacio 1 Cong, Tran Quoc 1 Conner, Andrew 1 Cooper, Benjamin G. 1 d’Antonio, Giacomo 1 de Miranda e Pereiro, Carolina 1 Deligne, Pierre René 1 Dotsenko, Vladimir Viktorovich 1 Durumeric, Oguz C. 1 Ebeling, Wolfgang 1 Eddy, Thomas D. 1 Etnyre, John B. 1 Fan, Kwai-Man 1 Fernandes, Alexandre Cesar Gurgel 1 Fieseler, Karl-Heinz 1 Friedman, Michael 1 Fujii, Michihiko ...and 113 more Authors
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### Cited in 78 Serials

 27 Topology and its Applications 13 Journal of Knot Theory and its Ramifications 12 Transactions of the American Mathematical Society 10 Journal of Algebra 9 Proceedings of the American Mathematical Society 8 Advances in Applied Mathematics 8 Algebraic & Geometric Topology 7 Journal of Pure and Applied Algebra 6 Advances in Mathematics 6 Inventiones Mathematicae 5 Communications in Algebra 5 Annales de l’Institut Fourier 5 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of Soviet Mathematics 4 Mathematische Zeitschrift 3 Manuscripta Mathematica 3 Journal of the American Mathematical Society 3 Forum Mathematicum 3 Science in China. Series A 3 Journal of Algebraic Combinatorics 3 Geometry & Topology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of the London Mathematical Society 2 Kodai Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 European Journal of Combinatorics 2 International Journal of Algebra and Computation 2 Bulletin of the American Mathematical Society. New Series 2 Selecta Mathematica. New Series 2 Journal of Topology 2 Journal of Singularities 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Algebra and Logic 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Graphs and Combinatorics 1 Discrete & Computational Geometry 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 The Australasian Journal of Combinatorics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of Group Theory 1 Annals of Combinatorics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Advances in Geometry 1 JP Journal of Geometry and Topology 1 Journal of Algebra and its Applications 1 African Diaspora Journal of Mathematics 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Commutative Algebra 1 Science China. Mathematics
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### Cited in 29 Fields

 79 Manifolds and cell complexes (57-XX) 74 Group theory and generalizations (20-XX) 70 Several complex variables and analytic spaces (32-XX) 69 Convex and discrete geometry (52-XX) 67 Algebraic geometry (14-XX) 50 Algebraic topology (55-XX) 19 Combinatorics (05-XX) 16 Differential geometry (53-XX) 13 Associative rings and algebras (16-XX) 12 Commutative algebra (13-XX) 12 Nonassociative rings and algebras (17-XX) 7 Global analysis, analysis on manifolds (58-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX)