Dr FitzGerald is the Module Leader for BSc Information and Database Engineering and MSc Advanced Software Engineering. He also teaches subjects on other BSc and MSc modules, including Object-Oriented Analysis and Design.
Areas of research interest include modelling and simulation of dynamical systems; and mathematical software.
- Modelling and Simulation of Dynamical Systems: Investigations into classical and quantum dynamics of point particles, strings and higher dimensional geometric objects. Problems occur in these highly non-linear dynamical systems that require the analytical solution of partial differential equations. Currently researching Lie group-invariant methods and Lax Pairs. Interest in computer algebraic approaches for these methods. Investigation of problems in supersymmetric Fock spaces. Broad research interest in applications of these techniques.
- Mathematical Software: Use of XML, MathML and object-oriented data structures in mathematical and scientific software, particularly modelling of dynamical systems.
Opportunities to carry out postgraduate research towards an MPhil / PhD exist in all the areas identified above. Further information may be obtained from the NTU Graduate School.
Sponsors and collaborators
Research funding in the period since 2006 includes:
- SIS (Stimulating Innovation for Success), C Langenseipen and P FitzGerald, Clinphone Group Ltd and NTU (2006 to 2008), £10,000.
The ozone source–receptor model – A tool for UK ozone policy. Hayman GD, Abbott J, Davies TJ, Thomson CL, Jenkin ME, Thetford R, Fitzgerald P, Atmospheric Environment, 2010, 44 (34), 4283-4297
The superfield quantisation of a superparticle action with an extended line element. FitzGerald PL, International Journal of Modern Physics, 2005, 20 (12), 2639-2655