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- Mechanics of carbon nanotubes,
- Modelling single-walled carbon nanotubes using ideas from fibre reinforcement,
- Multi-walled carbon nanotubes as gigahertz oscillators,
- Formation of waves and rippling in carbon nanotubes,
- Applications of nanoparticles in biology and medicine,
- Transport in porous media and crystalline solids,
- Modelling protein and other polymer chain structures,
- Mathematical modelling of enhanced thermal conductivity of nanofluids,
- Mathematical modelling of nanoparticle melting problems,
- Mathematical modelling of electro-rheological fluids,
- Nanofluidics and the Navier boundary condition.
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