Staff profile

Qualifications

• BSc(Hons 1)(ANU), PhD(Melb).

Professional involvement

• Postdoctoral Fellow, Institute for Theoretical Physics, University of Amsterdam, 1990-1992.
• ARC Postdoctoral Fellowship, School of Mathematics, University of Melbourne, 1992-1995.
• Department of Mathematics, La Trobe University, 1996-2001, 2009-.
• School of Mathematics, UNSW, 2001-.

Research interests

• My research interest is the topic of dynamical systems, with particular interests in the following topics (and their interrelation):
  1. discrete integrable dynamical systems (how to construct, identify and characterize them)
  2. symmetry and time-reversal symmetry (group theoretic characterizations of these properties and tests for them)
  3. algebraic and arithmetic dynamics (the study of dynamical systems over finite fields and rings, incorporating number theory).

Recent publications

• J. Pettigrew and J.A.G. Roberts, Characterizing singular curves in parametrized families of biquadratics, J. Phys. A: Math. Theor. 41 (2008) 115203.
• M.Baake, J.A.G. Roberts and A. Weiss, Periodic orbits of linear endomorphisms on the 2-torus and its lattices, Nonlinearity 21 (2008) 2427-2446.
• J.A.G. Roberts and F. Vivaldi, A combinatorial model for reversible rational maps over finite fields, Nonlinearity 22 (2009) 1965-1982.
• M.Baake, N.Neumaerker and J.A.G. Roberts, Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices, preprint (2011)
• N.Neumaerker, J.A.G. Roberts and F. Vivaldi, Distribution of periodic orbits for the Casati-Prosen map on rational lattices, accepted for Physica D (2011)
• J.A.G. Roberts, Order and symmetry in birational difference equations and their signatures over finite phase spaces, preprint (2011)