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Aitchison, Iain Roderick

Author ID: aitchison.iain-r Recent zbMATH articles by "Aitchison, Iain Roderick"
Published as: Aitchison, I. R.; Aitchison, Iain R.; Aitchison, Iain; Aitchison, I.
Homepage: http://www.ms.unimelb.edu.au/~iain/tohoku/Welcome.html
External Links: MGP
Documents Indexed: 26 Publications since 1984, including 4 Additional arXiv Preprints
Co-Authors: 9 Co-Authors with 21 Joint Publications
159 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

16 Publications have been cited 98 times in 79 Documents Cited by Year
Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010
Aitchison, I. R.; Rubinstein, J. H.
17
1992
An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005
Aitchison, I. R.; Rubinstein, J. H.
11
1990
Cusp structures of alternating links. Zbl 0810.57010
Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H.
9
1992
Cabling the Vassiliev invariants. Zbl 0958.57013
Kricker, A.; Spence, B.; Aitchison, I.
9
1997
On certain fibred ribbon disc pairs. Zbl 0648.57005
Aitchison, Iain R.; Silver, Daniel S.
8
1988
Fibered knots and involutions on homotopy spheres. Zbl 0567.57015
Aitchison, I. R.; Rubinstein, J. H.
8
1984
Immersed surfaces in cubed manifolds. Zbl 0935.57033
Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H.
6
1997
Geometry and Markoff’s spectrum for \(\mathbb{Q}(i)\). I. Zbl 1301.57011
Abe, Ryuji; Aitchison, Iain R.
5
2013
Canonical surgery on alternating link diagrams. Zbl 0765.57005
Aitchison, I. R.; Rubinstein, J. H.
4
1992
Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015
Aitchison, I. R.; Rubinstein, J. H.
4
1999
On Archimedean link complements. Zbl 1023.57006
Aitchison, Iain R.; Reeves, Lawrence D.
4
2002
Two-color Markoff graph and minimal forms. Zbl 1415.11091
Abe, Ryuji; Aitchison, Iain R.; Rittaud, Benoît
4
2016
Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017
Aitchison, Iain R.; Rubinstein, J. Hyam
3
1993
Surfaces in the figure-8 knot complement. Zbl 0924.57018
Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H.
3
1998
Geodesic surfaces in knot complements. Zbl 0891.57017
Aitchison, Iain R.; Rubinstein, J. Hyam
2
1997
Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009
Aitchison, I. R.; Rubinstein, J. Hyam
1
2004
Two-color Markoff graph and minimal forms. Zbl 1415.11091
Abe, Ryuji; Aitchison, Iain R.; Rittaud, Benoît
4
2016
Geometry and Markoff’s spectrum for \(\mathbb{Q}(i)\). I. Zbl 1301.57011
Abe, Ryuji; Aitchison, Iain R.
5
2013
Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009
Aitchison, I. R.; Rubinstein, J. Hyam
1
2004
On Archimedean link complements. Zbl 1023.57006
Aitchison, Iain R.; Reeves, Lawrence D.
4
2002
Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015
Aitchison, I. R.; Rubinstein, J. H.
4
1999
Surfaces in the figure-8 knot complement. Zbl 0924.57018
Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H.
3
1998
Cabling the Vassiliev invariants. Zbl 0958.57013
Kricker, A.; Spence, B.; Aitchison, I.
9
1997
Immersed surfaces in cubed manifolds. Zbl 0935.57033
Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H.
6
1997
Geodesic surfaces in knot complements. Zbl 0891.57017
Aitchison, Iain R.; Rubinstein, J. Hyam
2
1997
Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017
Aitchison, Iain R.; Rubinstein, J. Hyam
3
1993
Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010
Aitchison, I. R.; Rubinstein, J. H.
17
1992
Cusp structures of alternating links. Zbl 0810.57010
Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H.
9
1992
Canonical surgery on alternating link diagrams. Zbl 0765.57005
Aitchison, I. R.; Rubinstein, J. H.
4
1992
An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005
Aitchison, I. R.; Rubinstein, J. H.
11
1990
On certain fibred ribbon disc pairs. Zbl 0648.57005
Aitchison, Iain R.; Silver, Daniel S.
8
1988
Fibered knots and involutions on homotopy spheres. Zbl 0567.57015
Aitchison, I. R.; Rubinstein, J. H.
8
1984
all top 5

Cited by 100 Authors

4 Aitchison, Iain Roderick
4 Hoffman, Neil R.
4 Reid, Alan W.
3 Abe, Ryuji
3 Amendola, Gennaro
3 Boyer, Steven
3 Garoufalidis, Stavros
3 Gompf, Robert E.
3 Rubinstein, J. Hyam
3 Silver, Daniel S.
3 Walsh, Genevieve S.
2 Adams, Colin C.
2 Agol, Ian
2 Baker, Mark D.
2 Bar-Natan, Dror
2 Boileau, Michel Charles
2 Cebanu, Radu
2 Deblois, Jason
2 Matsumoto, Saburo
2 Niblo, Graham A.
2 Purcell, Jessica Shepherd
2 Rannard, Richard
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 Cha, Byungchul
1 Champanerkar, Abhijit
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 Kasprowski, Daniel
1 Kauffman, Louis Hirsch
1 Kim, Min Hoon
1 Kitayama, Takahiro
1 Kofman, Ilya
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 Pinsky, Tali
1 Powell, Mark
1 Prok, István
1 Ramgoolam, Sanjaye
1 Ray, Arunima
1 Rittaud, Benoît
1 Rodríguez-Migueles, José Andrés
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 Yamada, Shohei
1 Yokota, Yoshiyuki
1 Zhang, Xingru
1 Zimmermann, Bruno P.
all top 5

Cited in 43 Serials

13 Algebraic & Geometric Topology
5 Transactions of the American Mathematical Society
5 Journal of Knot Theory and its Ramifications
4 Proceedings of the American Mathematical Society
4 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 Annales de l’Institut Fourier
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Kyungpook Mathematical Journal
1 Mathematische Annalen
1 Pacific Journal of Mathematics
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 EMS Surveys in Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B
1 Bollettino dell’Unione Matematica Italiana

Citations by Year