School of Mathematics & Statistics

Dr Francesco Giglio

  • Lecturer (Mathematics)

Research interests

My current research lies primarily in mathematics education, with a focus on evaluating teaching and learning practices within our School and beyond through an evidence‑based approach. I am particularly interested in the development of effective teaching strategies that enhance student engagement and learning, as well as in the coordination of large teaching teams to promote positive experiences for both staff and students.

My recent and ongoing projects focus mainly on active learning, with a particular emphasis on:

  • embedding play in pre‑honours mathematics education; 
  • understanding patterns and drivers of student engagement during the transition into Higher Education; 
  • integrating generative AI into learning and teaching in ways that support equity of access;

I am also interested in outreach and widening participation, and I am keen to develop workshops for public engagement, such as for the Glasgow Science Festival, as well as initiatives aimed at reaching and enthusing pupils in primary and secondary mathematics education, such as the Royal Institution Masterclasses and ad-hoc school workshops.

Alongside my work in education, I am also interested in integrable systems and mathematical physics. I have ongoing research projects on the application of integrable nonlinear PDEs of hydrodynamic type in statistical physics. These range from theoretical and mathematical studies of the derivation and behaviour of exact solutions to applications involving isotropic fluids, nematic liquid crystals, and nuclear matter. My contributions in this area aim towards the development of a framework for the thermodynamics and statistical mechanics of mean‑field models, based on the theory of integrable conservation laws.

 

Research groups

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2021 | 2018 | 2016
Number of items: 7.

2025

Giglio, F. ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Wilson, Andrew ORCID logoORCID: https://orcid.org/0000-0001-7770-0134 (2025) Playful Learning in Pre-Honours Mathematics. Launch Event for the Active Learning Resources Hub, University of Glasgow, Glasgow, UK, 04 Sep 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, 58(16), 165202. (doi: 10.1088/1751-8121/adc8e9)

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 of London Series 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 Fri Jan 30 23:56:10 2026 GMT.
Jump to: Articles | Conference or Workshop Item
Number of items: 7.

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, 58(16), 165202. (doi: 10.1088/1751-8121/adc8e9)

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 of London Series 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)

Conference or Workshop Item

Giglio, F. ORCID logoORCID: https://orcid.org/0000-0003-1131-1560 and Wilson, Andrew ORCID logoORCID: https://orcid.org/0000-0001-7770-0134 (2025) Playful Learning in Pre-Honours Mathematics. Launch Event for the Active Learning Resources Hub, University of Glasgow, Glasgow, UK, 04 Sep 2025.

This list was generated on Fri Jan 30 23:56:10 2026 GMT.

Supervision


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


Prospected 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

School coordination roles

Learning & Teaching administration

  • Head of 1CG Mathematics
  • School STACK coordinator

Academic Policy & Governance

  • School Quality & Enhancement Officer 

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