These projects are for advanced mathematics students, students with summer scholarships and masters-by-coursework students (minor project).
If you interested in taking a six credit-point project please contact me to discuss possible topics. The projects I have on offer involve the application of mathematics to problems in areas such as analysis (applications to image science), business & politics (including electoral systems), calculators: how do they calculate? (second-year students only), chemistry (including wine fermentation), combustion, differential equations, drying of particles, economics, epidemiology & virus dynamics (have you watched the movie Contagion?), food engineering, history of mathematics, industrial mathematics, Laplace transforms: Solving linear PDEs, Linear Algebra, mathematical biology, mathematical ecology, mathematical medicine, mathematical physics, Multiple Scales, Number Theory, physics, population models, the mathematics of search engines, Snakes and Ladders, synchronisation, and the mathematics of tennis and similar games, travelling waves. The mathematics usually involves either applied non-linear differential equations or applied non-linear difference equations.
Previous projects that I have supervised.
| Student | Type of project | Year | Project title | Co-supervisor |
| Gerardo Sozio | M. Math (reading subject) | Spring 2011 | A model for a continuously stirred bioreactor | Annette Worthy |
| Abdullah Altheyab | M. Math (coursework) | Autumn 2011 | Solving Parabolic Partial Differential Equations using the Method of Lines | Annette Worthy (primary supervisor, I was secondary) |
| Asma O.M. Alharbi | M. Math (coursework) | Autumn 2011 | A fundamental analysis for competitive product inhibition in a continuous flow bioreactor | Annette Worthy |
| Weam Alaqeel | M. Math (coursework) | Autumn 2011 | A model for uncompetitive product inhibition in a continuously stirred bioreactor | Maureen Edwards |
| Andrew Morris | Math 235: Advanced Mathematics Project | Autumn 2011 | Investigating and Computing Heat Diffusion | |
| Fahad Musallam Alharbi | M. Math (coursework) | Autumn 2010 | Drying Food | Xiaoping Lu |
| Rodney van Bentum | Austin Keane Vacation Scholarship | Summer 2009-10 | Applications of mathematics in medical and veterinary sciences | |
| Kate Snow | AMSI Summer Scholarship | Summer 2009-10 | Sensitivity to Initial Conditions: Characterising the accuracy of the weather forecast. | George Takacs and David Griffiths |
| Rubayyi Turki ALqahtani | M.Math (coursework) | Spring 2009 | Fundamental Analysis of continuous flow bioreactor models | |
| Ahmed Msmali | M.Math (coursework) | Autumn 2009 | A model for incomplete mixing in a bioreactor | |
| Yuen Yi (Cathy) Lee | AMSI Vacation Scholarship | Summer 2008-09 | Cleaning industrial wastewaters using a sludge disintegration system | |
| Cathy (Yuen Yi) Lee | MATH235: Advanced Mathematics Project | Spring 2007 | Epidemiology and Virus Dynamics: Alcoholism as an Endemic Disease | |
| Rodney van Bentum | MATH2325: Advanced Mathematics Project | Spring 2007 | Mathematical modelling of HIV | |
| Andrew Holder | MATH235: Advanced Mathematics Project | Spring 2007 | A Bioreactor Model | |
| Tara Kerr | Research Assistant | Spring 2006 | Semi-analytical solutions in bio-process engineering | Tim Marchant |
| Stephen J. Maher | MATH345: Advanced Mathematics Project | Spring 2006 | The Interaction of Agents in a Heterogeneous Firm. | |
| Timothy Nicholls | MATH345: Advanced Mathematics Project | Spring 2006 | Applications of second order differential equations to bioreactors. | |
| Tara Kerr | MATH345: Advanced Mathematics Project | Autumn 2006 | Mathematical Biotechnology. | |
| Adam Hoare | ICE-EM Vacation Scholarship | Summer 2004 | Quantification of synchronisation within coupled Lorenz systems. | |
| Tony Campbell | MATH235: Advanced Mathematics Project | Spring 2004 | Mathematical Epidemiology | |
| Timothy Nicholls | MATH235: Advanced Mathematics Project | Spring 2004 | Modelling Migration Between Habitats | |
| Will Francis | MATH235: Advanced Mathematics Project | Spring 2003 | The Activated Sludge Process |
These projects are for honours students and masters-by-coursework students (major project).
If you are interested in taking an honours/course-work masters project, please contact me to discuss possible topics. I'm in the process of constructing a page that will contain examples of specific projects for honours students. At the moment there isn't much information on this page! As an indication of the areas in which I am interested in offering a project please read the list of potential projects that I offer to advanced mathematics students. For honours/course-work masters projects I am primarily interested in supervising projects that align with my research interests and may not be willing to supervise some of the projects in this list. However, if you have an idea for a project and you think that I might be the right person to supervise it then please contact me so we can discuss your idea!
I have supervised the following honours/course-work masters projects
| Student | Year | Project Title | Degree | Co-supervisor | Institution |
| Gerardo Sozio | 2010 | `Unpacking XPPAUT | M.Math | Annette Worthy | UoW |
| Fehaid Alshammari | 2010 | Applications of Partial Differential Equations in Biology and Medicine | M.Math | (---) | UoW |
| Rodney Van Bentum | 2009 | A Fundamental Analysis of Mathematical Modeling of the Gastrointestinal Tract | B.Math.Adv (Hons) | Barry Cox | UoW |
| Joanna Herrmann | 2009 | Modelling Controlled Drug Delivery | B.Math (Hons) | Annette Worthy | UoW |
| Zubaidah Sadikin | 2008 | Predator-prey interactions in a bioreactor | M.Math | (---) | UoW |
| Mandi Sutherland | 2008 | Modelling the propagation of disease in rabbit populations | B.Math (Hons) | Annette Worthy | UoW |
| Kala Perkins | 2006-2007 | Compartment models for transdermal drug delivery | M.Math | Annette Worthy | UoW |
| Aaron Thornton | 2005 | Bifurcation analysis of Gray-Scott reaction-diffusion cells | B.Math (Hons) | Tim Marchant | UoW |
| Matthew Falk | 2004 | The Soccer Pools. Maximising your winnings, or minimising your losses, if you're lucky! | B.Math.Fin (Hons) | David Griffiths | UoW | Nikki Waterhouse | 2001 | Burn Baby Burn: Polymer Combustion. | BSc(Hons) | Harvinder Sidhu | ADFA |