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.

View all

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"
Armando RODADO "Weierstrass points and canonical cell decompositions of the moduli and teichmuller spaces of Riemann surfaces of genus two"