Dr Francesco Giglio

  • Lecturer (Mathematics)

Research interests

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

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2021 | 2018 | 2016
Number of items: 6.

2025

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio, Martina, Luigi and Zingarofalo, Andrea (2025) Integrability properties and multi-kink solutions of a generalised Fokker-Planck equation. Journal of Physics A: Mathematical and Theoretical, (doi: 10.1088/1751-8121/adc8e9) (Early Online Publication)

2024

De Matteis, Giovanni, Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Moro, Antonio (2024) Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2283), 20230701. (doi: 10.1098/rspa.2023.0701)

2023

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio and Martina, Luigi (2023) On solutions to a novel non-evolutionary integrable 1+1 PDE. Journal of Physics A: Mathematical and Theoretical, 56(48), 485205. (doi: 10.1088/1751-8121/ad04a5)

2021

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio, Martina, Luigi and Moro, Antonio (2021) Symmetries and criticality of generalised van der Waals models. Journal of Physics A: Mathematical and Theoretical, 54(40), 405701. (doi: 10.1088/1751-8121/ac2009)

2018

De Matteis, Giovanni, Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Moro, Antonio (2018) Exact equations of state for nematics. Annals of Physics, 396, pp. 386-396. (doi: 10.1016/j.aop.2018.07.016)

2016

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio and Moro, Antonio (2016) Integrable extended van der Waals model. Physica D: Nonlinear Phenomena, 333, pp. 293-300. (doi: 10.1016/j.physd.2016.02.010)

This list was generated on Sat Jun 14 20:07:12 2025 BST.
Jump to: Articles
Number of items: 6.

Articles

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio, Martina, Luigi and Zingarofalo, Andrea (2025) Integrability properties and multi-kink solutions of a generalised Fokker-Planck equation. Journal of Physics A: Mathematical and Theoretical, (doi: 10.1088/1751-8121/adc8e9) (Early Online Publication)

De Matteis, Giovanni, Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Moro, Antonio (2024) Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2283), 20230701. (doi: 10.1098/rspa.2023.0701)

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio and Martina, Luigi (2023) On solutions to a novel non-evolutionary integrable 1+1 PDE. Journal of Physics A: Mathematical and Theoretical, 56(48), 485205. (doi: 10.1088/1751-8121/ad04a5)

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio, Martina, Luigi and Moro, Antonio (2021) Symmetries and criticality of generalised van der Waals models. Journal of Physics A: Mathematical and Theoretical, 54(40), 405701. (doi: 10.1088/1751-8121/ac2009)

De Matteis, Giovanni, Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Moro, Antonio (2018) Exact equations of state for nematics. Annals of Physics, 396, pp. 386-396. (doi: 10.1016/j.aop.2018.07.016)

Giglio, Francesco ORCID logoORCID: https://orcid.org/0000-0003-1131-1560, Landolfi, Giulio and Moro, Antonio (2016) Integrable extended van der Waals model. Physica D: Nonlinear Phenomena, 333, pp. 293-300. (doi: 10.1016/j.physd.2016.02.010)

This list was generated on Sat Jun 14 20:07:12 2025 BST.

Supervision


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. 

Teaching

Courses

Current 

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

 

Additional information

Academic Policy & Governance

  • School Quality & Enhancement Officer 

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