I am interested in problems concerning nonlinear partial differential equations of hydrodynamic type and applications to macroscopic systems at the equilibrium such as isotropic fluids, nematic liquid crystals and spin systems.

My research points towards the development of a recent approach to the thermodynamics and statistical mechanics of mean-field models based on the theory of integrable conservation laws.

Research projects

• phase behaviour of biaxial nematics subject to external fields 
• statistical thermodynamics of van der Waals fluids and fluid mixtures
• multi-kink solutions in c-integrable models
• phase transitions in QCD.

Research groups

• Integrable systems & mathematical physics

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Projects may be offered in the areas of Mathematical Physics and Mathematics Education.

Prospetcted PhD applicants are welcome to contact me to identify possible projects. 

Courses

Current 

• Mathematical Physics (MATHS4107, MATHS5073)
• Mathematics 1C: Introduction to Calculus (MATHS1015)
• Mathematics 1G: Introduction to Algebra, Geometry & Networks (MATHS1016)

Past 

I have taught and coordinated a broad range of courses across different degree programmes. Exampels are Mathematical Biology (Glasgow, 2019-22), Writing and Presenting Mathematics (Glasgow, 2020-23), Fluid Dynamics (Newcastle, 2018-19) and Introductory Algebra (Newcastle, 2018-19).

Supervision 

I am keen on supervising Projects in Applied Mathematics and Mathematics Education. I am also interested in offering Level 5 MSc projects.

Awards & Recognition

• Recognising Excellence in Teaching – Fellow
• Jon Nimmo Prize 2020 for Teaching Excellence

Academic Policy & Governance

• School Quality & Enhancement Officer