Staff profile

Professor Geoff Prince

Professor

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics
Australian Mathematical Sciences Institute

Physical Sciences 2, Room 308C, Melbourne (Bundoora)

 

Qualifications

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

Brief profile

Between 2009 and 2014 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;

-Classical mechanics;

-Riemannian geometry

Teaching units

I am not teaching while Director at the Australian Mathematical Sciences Institute.

Recent publications

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).  

Resume

Download Resume

Research projects

"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