- Fluid dynamics modelling (particularly water wave problems).
- The use of mathematical methods to solve problems arising in applications.
- The use of mathematical models to improve understanding of problems arising in interdisciplinary areas including Mechanical Engineering, Aerospace Engineering and Communication Engineering.
Current Research Activity
- Developing case studies for lively mathematics teaching.
- Bragg-like resonance arising in the reduced wave equation.
- Conformal vis-à-vis physical depths in water-wave problems.
- Computer-aided assessment.