Edit Profile Fenn, Roger A. Compute Distance To: Compute Author ID: fenn.roger-a Published as: Fenn, R.; Fenn, R. A.; Fenn, Roger; Fenn, Roger A. Documents Indexed: 60 Publications since 1970, including 4 Books Reviewing Activity: 10 Reviews all top 5 Co-Authors 14 single-authored 13 Rourke, Colin P. 4 Sanderson, Brian J. 4 Sjerve, Denis K. 3 Bartholomew, Andrew 3 Kauffman, Louis Hirsch 3 Rimányi, Richárd 3 Rolfsen, Dale 2 Budden, Stephen 2 Keyman, Ebru 2 Manturov, Vassiliĭ Olegovich 1 Azcan, Hüseyin 1 Cervantes, Leticia 1 Dunwoody, Martin John 1 Greene, Michael T. 1 Hilton, Peter John 1 Ibáñez-Varela, Raúl 1 Il’yutko, Denis Petrovich 1 Jin, Gyo Taek 1 Jordan-Santana, Mercedes 1 Kamada, Naoko 1 Kamada, Seiichi 1 Taylor, Paul H. 1 Turaev, Vladimir G. 1 Wiest, Bertold 1 Zhu, Jun all top 5 Serials 9 Journal of Knot Theory and its Ramifications 3 Topology 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Pacific Journal of Mathematics 2 L’Enseignement Mathématique. 2e Série 2 Turkish Journal of Mathematics 2 London Mathematical Society Lecture Note Series 1 Journal of Geometry and Physics 1 Journal of the London Mathematical Society. Second Series 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Kobe Journal of Mathematics 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Applied Categorical Structures 1 Lecture Notes in Mathematics all top 5 Fields 47 Manifolds and cell complexes (57-XX) 15 Group theory and generalizations (20-XX) 8 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 47 Publications have been cited 828 times in 566 Documents Cited by ▼ Year ▼ Racks and links in codimension two. Zbl 0787.57003Fenn, Roger; Rourke, Colin 174 1992 Trunks and classifying spaces. Zbl 0853.55021Fenn, Roger; Rourke, Colin; Sanderson, Brian 87 1995 The braid-permutation group. Zbl 0861.57010Fenn, Roger; Rimányi, Richárd; Rourke, Colin 63 1997 Biquandles and virtual links. Zbl 1063.57006Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis 61 2004 James bundles. Zbl 1055.55005Fenn, Roger; Rourke, Colin; Sanderson, Brian 49 2004 On Kirby’s calculus of links. Zbl 0413.57006Fenn, Roger; Rourke, Colin 44 1979 Techniques of geometric topology. Zbl 0517.57001Fenn, Roger A. 43 1983 The rack space. Zbl 1123.55006Fenn, Roger; Rourke, Colin; Sanderson, Brian 31 2007 Virtual knot theory – unsolved problems. Zbl 1084.57005Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O. 28 2005 Ordering the braid groups. Zbl 1009.20042Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B. 28 1999 Quaternionic invariants of virtual knots and links. Zbl 1149.57301Bartholomew, Andrew; Fenn, Roger 26 2008 An introduction to species and the rack space. Zbl 0828.57005Fenn, Roger; Rourke, Colin; Sanderson, Brian 22 1993 Centralisers in the braid group and singular braid monoid. Zbl 0869.20024Fenn, Roger; Rolfsen, Dale; Zhu, Jun 20 1996 The singular baid monoid embeds in a group. Zbl 0971.57011Fenn, Roger; Keyman, Ebru; Rourke, Colin 16 1998 Weyl algebras and knots. Zbl 1123.57006Fenn, Roger; Turaev, Vladimir 12 2007 The equation \([B,(A-1)(A,B)]=0\) and virtual knots and links. Zbl 1070.57003Budden, Stephen; Fenn, Roger 11 2004 Spheres may link homotopically in 4-space. Zbl 0603.57011Fenn, Roger; Rolfsen, Dale 11 1986 Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029Fenn, Roger; Rourke, Colin 8 1996 Doodles on surfaces. Zbl 1403.57003Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 7 2018 Introducing doodles. Zbl 0409.57003Fenn, Roger; Taylor, Paul 7 1979 Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006Bartholomew, Andrew; Fenn, Roger 6 2011 Massey products and lower central series of free groups. Zbl 0643.57002Fenn, Roger; Sjerve, Denis 6 1987 Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O. 5 2014 Tackling the trefoils. Zbl 1275.57008Fenn, Roger 5 2012 Some remarks on the braid-permutation group. Zbl 0830.57005Fenn, Roger; Rimányi, Richárd; Rourke, Colin 5 1993 The table theorem. Zbl 0194.53901Fenn, Roger 5 1970 Quaternion algebras and invariants of virtual knots and links I: the elliptic case. Zbl 1158.57008Fenn, Roger 4 2008 Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018Fenn, Roger; Rourke, Colin 4 1998 Boundary links are homotopy trivial. Zbl 0655.57003Cervantes, L.; Fenn, R. A. 4 1988 On the finiteness of higher knot sums. Zbl 0623.57013Dunwoody, M. J.; Fenn, R. A. 4 1987 Basic commutators and minimal Massey products. Zbl 0561.55015Fenn, Roger; Sjerve, Denis 4 1984 Colorings and doubled colorings of virtual doodles. Zbl 1419.57022Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 3 2019 Generalised biquandles for generalised knot theories. Zbl 1409.57006Fenn, Roger 3 2015 Some generalizations of the Borsuk-Ulam theorem and applications to realizing homotopy classes by embedded spheres. Zbl 0268.55008Fenn, Roger 3 1973 On Gauss codes of virtual doodles. Zbl 1411.57007Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 2 2018 Biquandles and their application to virtual knots and links. Zbl 1180.57021Fenn, Roger 2 2009 Quaternion algebras and invariants of virtual knots and links II: the hyperbolic case. Zbl 1159.57002Budden, Stephen; Fenn, Roger 2 2008 Nice spines of 3-manifolds. Zbl 0406.57002Fenn, Roger; Rourke, Colin 2 1979 On Dehn’s lemma in 4 dimensions. Zbl 0215.52003Fenn, R. 2 1971 Embedding polyhedra. Zbl 0207.53105Fenn, R. 2 1970 New invariants of long virtual knots. Zbl 1260.57004Bartholomew, Andrew; Fenn, Roger; Kamada, Nakao; Kamada, Seiichi 1 2010 Geometry. Zbl 0959.51001Fenn, Roger 1 2001 Vassiliev theory for knots. Zbl 0865.57006Fenn, Roger 1 1994 What is the geometry of a surface? Zbl 0528.57006Fenn, Roger 1 1983 Geometric cohomology theory. Zbl 0522.55008Fenn, Roger; Sjerve, Denis 1 1983 Duality and cohomology for one relator groups. Zbl 0518.20041Fenn, Roger; Sjerve, Denis 1 1982 Some applications of the width and breadth of a closed curve to the two- dimensional sphere. Zbl 0301.50005Fenn, Roger 1 1975 Colorings and doubled colorings of virtual doodles. Zbl 1419.57022Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 3 2019 Doodles on surfaces. Zbl 1403.57003Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 7 2018 On Gauss codes of virtual doodles. Zbl 1411.57007Bartholomew, Andrew; Fenn, Roger; Kamada, Naoko; Kamada, Seiichi 2 2018 Generalised biquandles for generalised knot theories. Zbl 1409.57006Fenn, Roger 3 2015 Unsolved problems in virtual knot theory and combinatorial knot theory. Zbl 1310.57010Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O. 5 2014 Tackling the trefoils. Zbl 1275.57008Fenn, Roger 5 2012 Biquandles of small size and some invariants of virtual and welded knots. Zbl 1226.57006Bartholomew, Andrew; Fenn, Roger 6 2011 New invariants of long virtual knots. Zbl 1260.57004Bartholomew, Andrew; Fenn, Roger; Kamada, Nakao; Kamada, Seiichi 1 2010 Biquandles and their application to virtual knots and links. Zbl 1180.57021Fenn, Roger 2 2009 Quaternionic invariants of virtual knots and links. Zbl 1149.57301Bartholomew, Andrew; Fenn, Roger 26 2008 Quaternion algebras and invariants of virtual knots and links I: the elliptic case. Zbl 1158.57008Fenn, Roger 4 2008 Quaternion algebras and invariants of virtual knots and links II: the hyperbolic case. Zbl 1159.57002Budden, Stephen; Fenn, Roger 2 2008 The rack space. Zbl 1123.55006Fenn, Roger; Rourke, Colin; Sanderson, Brian 31 2007 Weyl algebras and knots. Zbl 1123.57006Fenn, Roger; Turaev, Vladimir 12 2007 Virtual knot theory – unsolved problems. Zbl 1084.57005Fenn, Roger; Kauffman, Louis H.; Manturov, Vassily O. 28 2005 Biquandles and virtual links. Zbl 1063.57006Fenn, Roger; Jordan-Santana, Mercedes; Kauffman, Louis 61 2004 James bundles. Zbl 1055.55005Fenn, Roger; Rourke, Colin; Sanderson, Brian 49 2004 The equation \([B,(A-1)(A,B)]=0\) and virtual knots and links. Zbl 1070.57003Budden, Stephen; Fenn, Roger 11 2004 Geometry. Zbl 0959.51001Fenn, Roger 1 2001 Ordering the braid groups. Zbl 1009.20042Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B. 28 1999 The singular baid monoid embeds in a group. Zbl 0971.57011Fenn, Roger; Keyman, Ebru; Rourke, Colin 16 1998 Characterisation of a class of equations with solutions over torsion-free groups. Zbl 0913.20018Fenn, Roger; Rourke, Colin 4 1998 The braid-permutation group. Zbl 0861.57010Fenn, Roger; Rimányi, Richárd; Rourke, Colin 63 1997 Centralisers in the braid group and singular braid monoid. Zbl 0869.20024Fenn, Roger; Rolfsen, Dale; Zhu, Jun 20 1996 Klyachko’s methods and the solution of equations over torsion-free groups. Zbl 0861.20029Fenn, Roger; Rourke, Colin 8 1996 Trunks and classifying spaces. Zbl 0853.55021Fenn, Roger; Rourke, Colin; Sanderson, Brian 87 1995 Vassiliev theory for knots. Zbl 0865.57006Fenn, Roger 1 1994 An introduction to species and the rack space. Zbl 0828.57005Fenn, Roger; Rourke, Colin; Sanderson, Brian 22 1993 Some remarks on the braid-permutation group. Zbl 0830.57005Fenn, Roger; Rimányi, Richárd; Rourke, Colin 5 1993 Racks and links in codimension two. Zbl 0787.57003Fenn, Roger; Rourke, Colin 174 1992 Boundary links are homotopy trivial. Zbl 0655.57003Cervantes, L.; Fenn, R. A. 4 1988 Massey products and lower central series of free groups. Zbl 0643.57002Fenn, Roger; Sjerve, Denis 6 1987 On the finiteness of higher knot sums. Zbl 0623.57013Dunwoody, M. J.; Fenn, R. A. 4 1987 Spheres may link homotopically in 4-space. Zbl 0603.57011Fenn, Roger; Rolfsen, Dale 11 1986 Basic commutators and minimal Massey products. Zbl 0561.55015Fenn, Roger; Sjerve, Denis 4 1984 Techniques of geometric topology. Zbl 0517.57001Fenn, Roger A. 43 1983 What is the geometry of a surface? Zbl 0528.57006Fenn, Roger 1 1983 Geometric cohomology theory. Zbl 0522.55008Fenn, Roger; Sjerve, Denis 1 1983 Duality and cohomology for one relator groups. Zbl 0518.20041Fenn, Roger; Sjerve, Denis 1 1982 On Kirby’s calculus of links. Zbl 0413.57006Fenn, Roger; Rourke, Colin 44 1979 Introducing doodles. Zbl 0409.57003Fenn, Roger; Taylor, Paul 7 1979 Nice spines of 3-manifolds. Zbl 0406.57002Fenn, Roger; Rourke, Colin 2 1979 Some applications of the width and breadth of a closed curve to the two- dimensional sphere. Zbl 0301.50005Fenn, Roger 1 1975 Some generalizations of the Borsuk-Ulam theorem and applications to realizing homotopy classes by embedded spheres. Zbl 0268.55008Fenn, Roger 3 1973 On Dehn’s lemma in 4 dimensions. Zbl 0215.52003Fenn, R. 2 1971 The table theorem. Zbl 0194.53901Fenn, Roger 5 1970 Embedding polyhedra. Zbl 0207.53105Fenn, R. 2 1970 all cited Publications top 5 cited Publications all top 5 Cited by 511 Authors 40 Nelson, Sam 21 Kamada, Seiichi 20 Kauffman, Louis Hirsch 20 Saito, Masahico 19 Przytycki, Józef H. 17 Carter, J. Scott 15 Manturov, Vassiliĭ Olegovich 14 Bardakov, Valeriĭ Georgievich 12 Lebed, Victoria 12 Oshiro, Kanako 11 Elhamdadi, Mohamed 11 Fenn, Roger A. 11 Nosaka, Takefumi 10 Dehornoy, Patrick 10 Satoh, Shin 9 Bellingeri, Paolo 8 Niebrzydowski, Maciej 7 Ito, Tetsuya 6 Bartholomew, Andrew 6 Crans, Alissa S. 6 Kamada, Naoko 6 Lambropoulou, Sofia S. F. 6 Lee, Sang Youl 6 Vendramin, Leandro 6 Vershinin, Vladimir V. 6 Wiest, Bertold 5 Clark, W. Edwin 5 Dye, Heather Ann 5 Horvat, Eva 5 Ishii, Atsushi 5 Iwakiri, Masahide 5 Jelsovsky, Daniel 5 Nasybullov, Timur Rinatovich 5 Paris, Luis 5 Rourke, Colin P. 5 Singh, Mahender 5 Turaev, Vladimir G. 5 Yang, Seung Yeop 5 Yasuhara, Akira 4 Bae, Yongju 4 Cheng, Zhiyun 4 Chrisman, Micah Whitney 4 Dabkowski, Mieczysław K. 4 Efrat, Ido 4 Hoste, Jim 4 Il’yutko, Denis Petrovich 4 Kim, Jieon 4 Lopes, Pedro 4 Mináč, Ján 4 Mukherjee, Sujoy 4 Nakanishi, Yasutaka 4 Nguyêñ Duy Tân 4 Rolfsen, Dale 4 Rump, Wolfgang 4 Sanderson, Brian J. 4 Shanahan, Patrick D. 4 Tanaka, Kokoro 4 Wagemann, Friedrich 3 Damiani, Celeste 3 Eisermann, Michael 3 Farinati, Marco Andrés 3 Gao, Hongzhu 3 Garoufalidis, Stavros 3 Godelle, Eddy 3 Gongopadhyay, Krishnendu 3 González-Meneses, Juan 3 Habiro, Kazuo 3 Inoue, Ayumu 3 Jedlička, Přemysl 3 Kaestner, Aaron M. 3 Kim, Byeorhi 3 Kim, Joonoh 3 Klyachko, Anton Aleksandrovich 3 Koschorke, Ulrich 3 Melikhov, Sergey Aleksandrovich 3 Melvin, Paul M. 3 Nanda, Neha 3 Neshchadim, Mikhail Vladimirovich 3 Ohtsuki, Tomotada 3 Oyamaguchi, Natsumi 3 Pilitowska, Agata 3 Rosebrock, Stephan 3 Stanovský, David 3 Suciu, Alexander I. 3 Wada, Kodai 3 Winter, Blake Karl 3 Zamojska-Dzienio, Anna 2 Afanasiev, Denis Mikhailovich 2 Altschuler, Daniel 2 Antony, Noelle 2 Ashihara, Sosuke 2 Audoux, Benjamin 2 Benedetti, Riccardo 2 Bonatto, Marco 2 Calvez, Matthieu 2 Cattabriga, Alessia 2 Ceniceros, Jose 2 Churchill, Indu R. U. 2 Corran, Ruth 2 Coste, Antoine D. ...and 411 more Authors all top 5 Cited in 112 Serials 172 Journal of Knot Theory and its Ramifications 43 Topology and its Applications 24 Algebraic & Geometric Topology 20 Journal of Pure and Applied Algebra 19 Journal of Algebra 19 Transactions of the American Mathematical Society 15 Communications in Algebra 12 Advances in Mathematics 10 Geometry & Topology 9 International Journal of Mathematics 8 Inventiones Mathematicae 8 Proceedings of the American Mathematical Society 8 International Journal of Algebra and Computation 8 Journal of Algebra and its Applications 6 Communications in Mathematical Physics 6 Mathematische Zeitschrift 6 Osaka Journal of Mathematics 5 Geometriae Dedicata 5 Mathematische Annalen 5 Proceedings of the Steklov Institute of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Geometry and Physics 4 Journal of Mathematical Sciences (New York) 4 Annales Mathématiques Blaise Pascal 4 Journal of Group Theory 3 Journal of Mathematical Physics 3 Annales de l’Institut Fourier 3 Journal of Combinatorial Theory. Series B 3 Journal of the Mathematical Society of Japan 3 Manuscripta Mathematica 3 Siberian Mathematical Journal 3 European Journal of Combinatorics 3 Forum Mathematicum 2 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Illinois Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Kyungpook Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Semigroup Forum 2 Tokyo Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Journal of Symbolic Computation 2 Bulletin of the American Mathematical Society. New Series 2 Expositiones Mathematicae 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 St. Petersburg Mathematical Journal 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Journal of the Australian Mathematical Society 2 Mediterranean Journal of Mathematics 2 Journal of Homotopy and Related Structures 2 Journal of Topology and Analysis 2 Journal of \(K\)-Theory 2 Groups, Complexity, Cryptology 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 MSCS. Mathematical Structures in Computer Science 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Archive for Mathematical Logic 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 The Electronic Journal of Combinatorics 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Doklady Mathematics 1 Representation Theory 1 Revista Matemática Complutense 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 Qualitative Theory of Dynamical Systems 1 JP Journal of Geometry and Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 International Journal of Quantum Information 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 12 more Serials all top 5 Cited in 37 Fields 458 Manifolds and cell complexes (57-XX) 190 Group theory and generalizations (20-XX) 74 Algebraic topology (55-XX) 39 Category theory; homological algebra (18-XX) 34 Associative rings and algebras (16-XX) 34 Nonassociative rings and algebras (17-XX) 24 Quantum theory (81-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 18 Combinatorics (05-XX) 12 General algebraic systems (08-XX) 12 Differential geometry (53-XX) 8 Field theory and polynomials (12-XX) 7 Computer science (68-XX) 6 Mathematical logic and foundations (03-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General topology (54-XX) 4 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year