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Beth

Beth M. Stokes

she/her

Senior Innovation Research Associate

University of Bristol

bethm.stokes@bristol.ac.uk

LinkedIn


About Me

I currently work as a Senior Innovation Research Associate with the SUM4Products Network, based in the School of Engineering Mathematics and Technology at the University of Bristol. Prior to this I was studying for my PhD with the SAMBa CDT at the University of Bath.

My research to date has focused on modelling the collective behaviour of systems of interacting individuals using a wide range of mathematical modelling techniques. However my research and mathematical interests span a range of applications across biological, social and industrial problems.

I am a passionate advocate for women and under-represented groups in STEM. Outside of mathematics, I can often be found knitting, reading, baking, or on long dog walks with the family Terrier, Daphne.


Outreach

I have had the pleasure of being involved in a number of outreach events and initiatives during my career so far. Find out more about the fantastic work they are doing using the links below!

Piscopia
Behind the Research
Soapbox Science
PhD Your Way
QED Network

Upcoming Events

Check back here for any upcoming talks and events!

SUM4Products Network Annual Meeting - University of Edinburgh (17th - 18th September 2026)


Research

Mathematical Modelling of Formulated Products
Scale-Up Mathematics for Formulated Products (SUM4Products) Network Projects Current

The EPSRC funded SUM4Products Network aims to drive innovation in formulation science and engineering by connecting academics and industry representatives.

In my role as a Senior Innovation Research Associate (InRA) with the network, I will have the opportunity to work on a variety of impact-driven industry challenges in formulation engineering. Watch this space!


Collective Behaviour in Animals
Collective Motion Driven by Social Interactions in Animals (2022-2025)

My PhD project, supervised by Dr. Richard James and Prof. Tim Rogers, developed a series of mathematical models that work towards enhancing our understanding of how individual interactions and behaviour feed into population-level structures and movement. In particular, exploring how social interactions between individuals, and especially those driven by sexual conflict, can give rise to large scale spatial patterns and movement in animal populations.

During the project, I also had the opportunity to devise and carry out my own experiments alongside external supervisors Dr. Safi Darden and Prof. Darren Croft at the University of Exeter. These aimed to explore the effect of sex ratio and density on the movement decisions of Trinidadian Guppies, our particular species of interest.

An Investigation of a New Agent-Based Model of Collective Motion (2019-2021)

During my undergraduate degree, I had the opportunity to complete two research internships. The first of which, funded by EPSRC, was an in depth study of the Cucker-Smale and Cucker-Dong models of collective animal motion. I subsequently completed both my third year and Master's projects on the topic, both of which were supervised by Dr. Galane J. Luo. In the latter, I devised a new, agent-based model of collective motion, specifically designed to recreate the murmuration phenomena commonly observed in large flocks of starlings.


Opinion Dynamics
Extremism, segregation and oscillatory states emerge through collective opinion dynamics in a novel agent-based model (2020-2022)

During my undergraduate studies, I was also part of a British Academy funded project which set out to develop a novel, agent-based model of human opinion dynamics. Agents in the model update their opinions based on interactions with others, providing the pair exceeds a certain "affinity threshold". The concept of memory was also introduced, creating a non-Markovian process of opinion updating. The model successfully recreates many socio-psychological phenomena, such as extremism, segregation and oscillatory opinions, more details can be found in our publication in the Journal of Mathematical Sociology.


Education

PhD Statistical Applied Mathematics
SAMBa CDT, University of Bath (2021-2026)

I completed my PhD in Statistical Applied Mathematics with the SAMBa CDT at the University of Bath in 2026. My PhD Thesis was titled "Collective Motion Driven by Social Interactions in Animals" and was supervised by Dr. Richard James and Prof. Tim Rogers, with external supervisors Dr. Safi Darden and Prof. Darren Croft at the University of Exeter. I also obtained an MRes qualification during my first year of study.


MSci Mathematics
University of Birmingham (2017-2021)

I graduated from the University of Birmingham with a First Class MSci Mathematics degree in July 2021. During my time at Birmingham, I worked on a number of undergraduate research projects, developing a keen interest in mathematical biology and in particular, topics with interdisciplinary or real-world applications.


Publications

Stokes, B.M., Rogers, T. and James, R., 2026. Sex ratio response drives (anti-)correlated population fluctuations. (in preparation)


Stokes, B.M., Rogers, T. and James, R., 2024. Speed and shape of population fronts with density-dependent diffusion. Bulletin of Mathematical Biology, 86(12), pp.1-18


Beth M. Stokes , Jackson, S.E., Garnett, P. and Luo, J., 2022. Extremism, segregation and oscillatory states emerge through collective opinion dynamics in a novel agent-based model. The Journal of Mathematical Sociology, pp.1-39.


Talks and Posters

Speed and shape of population fronts with density-dependent diffusion (Talk)
British Applied Mathematics Colloquium - University of East Anglia (March 2026)
European Conference on Mathematical and Theoretical Biology - Universidad de Castilla-La Mancha (July 2024)
Mathematical Models in Ecology and Evolution - Universität Wien (July 2024)

Extremism, segregation and oscillatory states emerge through collective opinion dynamics in a novel agent-based model (Talk)
Modelling Non-local Effects in Biological and Social Sciences - University of Birmingham (August 2025)
British Applied Mathematics Colloquium - University of West England (April 2023)
From Individual to Collective Behaviour in Biological and Robotic Systems - International Centre for Mathematical Sciences, Edinburgh (July 2022)

Should I stay, or should I go: Sex ratio response drives a diverse range of (anti-)correlated intra-species behaviours (Talk)
Society for Mathematical Biology Annual Meeting - University of Alberta (July 2025)
British Applied Mathematics Colloquium - University of Exeter (June 2025)

The role of density-dependent diffusion in reaction diffusion systems (Poster)
Mathematics of Movement Workshop - Issac Newton Institute, University of Cambridge (July 2023)

Why birds only need to know how to count to 7! (Talk)
Soapbox Science - Exeter, UK (June 2023)