Edit Profile (opens in new tab) Aitchison, Iain Roderick Compute Distance To: Compute Author ID: aitchison.iain-r Published as: Aitchison, I. R.; Aitchison, Iain R.; Aitchison, Iain; Aitchison, I. more...less Homepage: http://www.ms.unimelb.edu.au/~iain/tohoku/Welcome.html External Links: MGP Documents Indexed: 22 Publications since 1984 Co-Authors: 9 Co-Authors with 21 Joint Publications 116 Co-Co-Authors all top 5 Co-Authors 1 single-authored 14 Rubinstein, J. Hyam 3 Abe, Ryuji 2 Reeves, Lawrence D. 1 Kricker, Andrew 1 Lumsden, E. 1 Matsumotoi, S. 1 Rittaud, Benoît 1 Silver, Daniel S. 1 Spence, Bill all top 5 Serials 3 Journal of Knot Theory and its Ramifications 2 Transactions of the American Mathematical Society 2 International Journal of Number Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Experimental Mathematics 1 Mathematical Research Letters 1 The Asian Journal of Mathematics all top 5 Fields 20 Manifolds and cell complexes (57-XX) 3 Number theory (11-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 86 times in 71 Documents Cited by ▼ Year ▼ Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010Aitchison, I. R.; Rubinstein, J. H. 16 1992 An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005Aitchison, I. R.; Rubinstein, J. H. 11 1990 Cabling the Vassiliev invariants. Zbl 0958.57013Kricker, A.; Spence, B.; Aitchison, I. 9 1997 On certain fibred ribbon disc pairs. Zbl 0648.57005Aitchison, Iain R.; Silver, Daniel S. 8 1988 Cusp structures of alternating links. Zbl 0810.57010Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 6 1992 Immersed surfaces in cubed manifolds. Zbl 0935.57033Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 6 1997 Fibered knots and involutions on homotopy spheres. Zbl 0567.57015Aitchison, I. R.; Rubinstein, J. H. 5 1984 Canonical surgery on alternating link diagrams. Zbl 0765.57005Aitchison, I. R.; Rubinstein, J. H. 4 1992 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015Aitchison, I. R.; Rubinstein, J. H. 4 1999 Two-color Markoff graph and minimal forms. Zbl 1415.11091Abe, Ryuji; Aitchison, Iain R.; Rittaud, Benoît 3 2016 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 Surfaces in the figure-8 knot complement. Zbl 0924.57018Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 Geometry and Markoff’s spectrum for \(\mathbb{Q}(i)\). I. Zbl 1301.57011Abe, Ryuji; Aitchison, Iain R. 3 2013 On Archimedean link complements. Zbl 1023.57006Aitchison, Iain R.; Reeves, Lawrence D. 2 2002 Geodesic surfaces in knot complements. Zbl 0891.57017Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009Aitchison, I. R.; Rubinstein, J. Hyam 1 2004 Two-color Markoff graph and minimal forms. Zbl 1415.11091Abe, Ryuji; Aitchison, Iain R.; Rittaud, Benoît 3 2016 Geometry and Markoff’s spectrum for \(\mathbb{Q}(i)\). I. Zbl 1301.57011Abe, Ryuji; Aitchison, Iain R. 3 2013 Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009Aitchison, I. R.; Rubinstein, J. Hyam 1 2004 On Archimedean link complements. Zbl 1023.57006Aitchison, Iain R.; Reeves, Lawrence D. 2 2002 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015Aitchison, I. R.; Rubinstein, J. H. 4 1999 Surfaces in the figure-8 knot complement. Zbl 0924.57018Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 Cabling the Vassiliev invariants. Zbl 0958.57013Kricker, A.; Spence, B.; Aitchison, I. 9 1997 Immersed surfaces in cubed manifolds. Zbl 0935.57033Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 6 1997 Geodesic surfaces in knot complements. Zbl 0891.57017Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010Aitchison, I. R.; Rubinstein, J. H. 16 1992 Cusp structures of alternating links. Zbl 0810.57010Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 6 1992 Canonical surgery on alternating link diagrams. Zbl 0765.57005Aitchison, I. R.; Rubinstein, J. H. 4 1992 An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005Aitchison, I. R.; Rubinstein, J. H. 11 1990 On certain fibred ribbon disc pairs. Zbl 0648.57005Aitchison, Iain R.; Silver, Daniel S. 8 1988 Fibered knots and involutions on homotopy spheres. Zbl 0567.57015Aitchison, I. R.; Rubinstein, J. H. 5 1984 all cited Publications top 5 cited Publications all top 5 Cited by 88 Authors 4 Aitchison, Iain Roderick 4 Hoffman, Neil R. 3 Abe, Ryuji 3 Amendola, Gennaro 3 Boyer, Steven 3 Garoufalidis, Stavros 3 Rubinstein, J. Hyam 3 Silver, Daniel S. 3 Walsh, Genevieve S. 2 Adams, Colin C. 2 Agol, Ian 2 Bar-Natan, Dror 2 Boileau, Michel Charles 2 Cebanu, Radu 2 Deblois, Jason 2 Gompf, Robert E. 2 Matsumoto, Saburo 2 Niblo, Graham A. 2 Rannard, Richard 2 Reid, Alan W. 2 Sakuma, Makoto 2 Thurston, Dylan Paul 1 Aitchinson, Iain R. 1 Akbulut, Selman 1 Bao, Zhiqiang 1 Bestvina, Mladen 1 Brodzki, Jacek 1 Calderon, Aaron 1 Calegari, Danny Matthew Cornelius 1 Callahan, Patrick J. 1 Campbell, S. J. 1 Campbell, Sarah 1 Chesebro, Eric 1 Chrisman, Micah Whitney 1 Coffey, James 1 Davis, James Frederic 1 Dunfield, Nathan M. 1 Erickson, Jeff 1 Everitt, Brent 1 Freedman, Michael Hartley 1 Friedl, Stefan 1 Gan, Hong-Chuan 1 Guentner, Erik Paul 1 Hillman, Jonathan Arthur 1 Jacquemet, Matthieu 1 Kaestner, Aaron M. 1 Kauffman, Louis Hirsch 1 Kitayama, Takahiro 1 Larson, Kyle 1 Le, Thang Tu Quoc 1 Li, Tao 1 Lieberum, Jens 1 Loebl, Martin 1 Lopes, Pedro 1 Lozano Rojo, Alvaro 1 Lumsden, E. 1 Masbaum, Gregor 1 Mayer, Nathaniel 1 Meier, Jeffrey 1 Millichap, Christian 1 Miyazaki, Katura 1 Morrison, Scott 1 Naik, Swatee 1 Naot, Gad 1 O’Dorney, Evan M. 1 Ohtsuki, Tomotada 1 Prok, István 1 Ramgoolam, Sanjaye 1 Rittaud, Benoît 1 Rozansky, Lev 1 Rushton, Brian 1 Sahin, Recep 1 Spence, Bill 1 Springborn, Boris Andre 1 Thistlethwaite, Morwen B. 1 Thompson, Abigail A. 1 Tillmann, Stephan 1 Tsvietkova, Anastasiia 1 Vaintrob, Arkady 1 Vesnin, Andrei Yu. 1 Vigara, Rubén 1 Walker, Kevin 1 Worden, William 1 Wright, Nick J. 1 Wu, Yingqing 1 Yokota, Yoshiyuki 1 Zhang, Xingru 1 Zimmermann, Bruno P. all top 5 Cited in 38 Serials 12 Algebraic & Geometric Topology 5 Transactions of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Journal of Knot Theory and its Ramifications 3 Topology and its Applications 3 Geometry & Topology 2 Geometriae Dedicata 2 Journal of Functional Analysis 2 L’Enseignement Mathématique. 2e Série 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal of Topology 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Discrete & Computational Geometry 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Turkish Journal of Mathematics 1 Conformal Geometry and Dynamics 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Quantum Topology 1 Proceedings of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 19 Fields 63 Manifolds and cell complexes (57-XX) 9 Group theory and generalizations (20-XX) 6 Number theory (11-XX) 3 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year