Ryuji Abe, I. Aitchison, Benoit Rittaud. Two-color Markoff graph and minimal forms. International Journal of Number Theory, 12, 1093-1122, 2016. doi: 10.1142/S1793042116500676.
R Abe, I. Aitchison. Geometry and Markoff's spectrum for Q(i), I. Transactions of the American Mathematical Society, 365, 6065-6102, 2013. doi: 10.1090/S0002-9947-2013-05850-3.
I. Aitchison, L. Reeves. On the genus of infinite groups. Mathematical Research Letters, 19, 601-612, 2012. doi: 10.4310/MRL.2012.v19.n3.a8.
I. Aitchison, J. Rubinstein. Localising Dehn's lemma and the loop theorem in 3-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society, 137, 281-292, 2004. doi: 10.1017/S0305004104007698.
I. Aitchison, L. Reeves, Masakazu Teragaito. Dehn surgery on crosscap number two knots and projective planes. Journal of Knot Theory and its Ramifications, 11, 869-886, 2002. doi: 10.1142/S0218216502002013.
I. Aitchison, L. Reeves. On Archimedean link complements. Journal of Knot Theory and its Ramifications, 11, 833-868, 2002. doi: 10.1142/S0218216502002001.
I. Aitchison, J. Rubinstein. Polyhedral metrics and 3-manifolds which are virtual bundles. Bulletin of the London Mathematical Society, 31, 90-96, 1999. doi: 10.1112/S0024609398004974.
I. Aitchison, S Matsumoto, J. Rubinstein. Dehn surgery on the figure 8 knot: Immersed surfaces. Proceedings of the American Mathematical Society, 127, 2437-2442, 1999. doi: 10.1090/S0002-9939-99-04716-4.
I. Aitchison, S Matsumoto, J. Rubinstein. Surfaces in the figure-8 knot complement. Journal of Knot Theory and its Ramifications, 7, 1005-1025, 1998. doi: 10.1142/S0218216598000541.
A. Kricker, B Spence, I. Aitchison. Cabling the Vassiliev invariants. Journal of Knot Theory and its Ramifications, 6, 327-358, 1997. doi: 10.1142/S0218216597000236.
I. Aitchison, J. Rubinstein. Geodesic surfaces in knot complements. Experimental Mathematics, 6, 137-150, 1997. doi: 10.1080/10586458.1997.10504602.
I. Aitchison. Surfaces in 3-manifolds: Group actions on surface bundles. Kodai Mathematical Journal, 17, 549-559, 1994. doi: 10.2996/kmj/1138040050.
I. Aitchison, J. Rubinstein. Incompressible surfaces and the topology of 3-dimensional manifolds. Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 55, 1-22, 1993. doi: 10.1017/S144678870003189X.
I. Aitchison, E Lumsden, J. Rubinstein. Cusp structures of alternating links. Inventiones Mathematicae, 109, 473-494, 1992. doi: 10.1007/BF01232034.
I. Aitchison, D. Silver. On certain fibred ribbon disc pairs. Transactions of the American Mathematical Society, 306, 529-551, 1988. doi: 10.1090/S0002-9947-1988-0933305-5.