Australian Mathematical Sciences Institute
BSc, DipEd (Monash), PhD (La Trobe), FAustMS
Membership of professional associations
Fellow of Aust.Math.Soc., Director of AMSI, member of Amer.Math.Soc.
Area of study
Mathematics and Statistics
I am Director of the Australian Mathematical Sciences Institute www.amsi.org.au.
My research is carried out at La Trobe University in a group with Prof. Philip Broadbridge and a number of early career researchers. My international collaborators are Willy Sarlet & Tom Mestdag (Ghent, Belgium) and Olga Rossi (prev. Krupkova) & David Saunders (Ostrava, Czech Rep.).
Research interests include:
- Applications of differential geometry to ordinary and partial differential equations;
- Inverse problem in the calculus of variations;
W. Sarlet, T. Mestdag and G. Prince, A generalization of Szebehely's inverse problem of dynamics. Rep. Math. Phys. 72, 65-84 (2013).
N.Tehseen and G.E. Prince, Integration of PDEs by Geometric Means. J.Phys.A: Math. Theor. 46, 105201 (20pp)(2013);
W. Sarlet, G.E. Prince, T. Mestdag and O. Krupková, Time-dependent kinetic energymetrics for Lagrangians of electromagnetic type. J.Phys.A: Math.Theor. 45, 085208 (13pp)(2012);
W. Sarlet and G.E. Prince Alternative kinetic energy metrics for Lagrangian systems. J.Phys.A: Math.Theor. 43, 445204 (13pp)(2010);
W. Sarlet, G.E. Prince and M. Crampin, Generalized submersiveness of second-order ordinary differential equations. J. Geom. Mech. 1, 209-221 (2009);
G.E. Prince, Comment: "Period function and normalizers of vector fields in Rn with n−1 first integrals" by D. Peralta-Salas, JDE 244, (2008) 1287-1303. J. Diff. Eqns 246, 3750-3753 (2009);
G.E. Prince and S.P. Dubois, Mathematical Models for Motion of the Rear Ends of Vehicles, Mathematical and Computer Modelling 49, 2049-2060 (2009);
G. E. Prince, On the inverse problem for autoparallels, pp 341-351 in "Variations, Geometry and Physics" in honour of Demeter Krupka’s sixty-fifth birthday, O. Krupková and D.J. Saunders (Editors) Nova Science Publishers (2009);
O. Krupková and G. Prince, Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations, pp 837-904, in Handbook of Global Analysis, edited by D. Krupka and D. Saunders, Elsevier (2007).
"Geometric Mechanics" funded by an EU IRSES grant 2011-2014
"New Geometric & Entropy Techniques for Differential Equations" funded by an ARC Discovery Project 2010-2012
"Harmonic Maps: Geometry, Integrability & Calculus of Variations" 2013