I am taking PhD students and if you are interested in doing a PhD with me then please email me (D.Lloyd@surrey.ac.uk). I list below some possible projects but others are possible. Please also see my publications list.
Mathematical Criminology & Data Science
Modelling and forecasting of crime and various criminology theories remain a hot topic; see for instance; pdf. PhD topics typically include a mixture of data analysis, modelling and dynamical systems tools and are ideal with students who like multidisciplinary problems. Possible topics could be:
1. Modelling and data analysis of the criminal court system
2. Modelling and data analysis of social learning theories
3. Modelling crime escalation
Mathematics for Space Applications
Mathematical modelling, investigations and numerical & data science methods for space applications:
1. Developing quasi-periodic to quasi-periodic front numerical methods
2. Developing stochastic continuation methods
Nonlinear Patterns
Localised structures can occur in a wide range of physical (fluid mechanics), and biological (vegetation patterns) problems. Recent publications can be found here:
1. Grain boundaries near the singular limit
2. Localised patterns in fluid systems
Mathematical Criminology & Data Science
Modelling and forecasting of crime and various criminology theories remain a hot topic; see for instance; pdf. PhD topics typically include a mixture of data analysis, modelling and dynamical systems tools and are ideal with students who like multidisciplinary problems. Possible topics could be:
1. Modelling and data analysis of the criminal court system
2. Modelling and data analysis of social learning theories
3. Modelling crime escalation
Mathematics for Space Applications
Mathematical modelling, investigations and numerical & data science methods for space applications:
1. Developing quasi-periodic to quasi-periodic front numerical methods
2. Developing stochastic continuation methods
Nonlinear Patterns
Localised structures can occur in a wide range of physical (fluid mechanics), and biological (vegetation patterns) problems. Recent publications can be found here:
- DJ Hill, DJB Lloyd, MR Turner, Localised Radial Patterns on the Free Surface of a Ferrofluid, Journal of Nonlinear Science, (2021) 31:79, (2021), pdf.
- DJB Lloyd, Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst., 18(4), 1892–1933 (2019), pdf.
1. Grain boundaries near the singular limit
2. Localised patterns in fluid systems