Senior Fellow (Associate)

School of Mathematics and Statistics

  • Room: 157
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Combinatorics, algebra and geometry
  • Geometry and number theory
  • Knot theory
  • Low dimensional topology of manifolds
  • Mathematical Physics

Recent Publications

  • 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.

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Extra Information

Diploma of Education Melbourne State College 1976 MSc Melbourne 1980
PhD Berkeley, California 1984 (Earle C. Anthony Fellow)
Postdoctoral Fellow, Macquarie University 1984 - 86
Lecturer University of Melbourne 1986 - 90
Senior Lecturer University of Melbourne 1991 - 2007

Personal Interests:
International politics
History and Philosophy of Science
House renovating/carpentry
Classical guitar playing (former teacher)
Listening to live jazz
Collecting books
Cycling (former Victorian champion)
Ocean yacht racing (Melbourne - Hobart, etc)
Drinking wine
Eating spicy Asian cuisine

Past Postgraduate Supervision

Name Thesis title
James COFFEY "3-manifolds built from injective handlebodies"
Thomas HANDSCOMB "Characteristic classes of surface bundles and Lefschetz fibrations"
John MASHFORD "Invariant measures and Mobius structures: a framework for field theory"
Armando RODADO "Weierstrass points and canonical cell decompositions of the moduli and teichmuller spaces of Riemann surfaces of genus two"