Current research:

My main research relates to eco-evolutionary meta-community models with multi-scale species perception of habitats, and how the behaviour of the species and the configuration of the habitat mosaic impacts patch fragmentation, alteration and removal. A particular application will be for modelling water vole, mink and otter populations in South Yorkshire (collaboration with Sheffield Hallam University and the Wildlife Trust). The project codebase can be found here.

Previously I have been engaged with two main areas of research, both of which use a similar methodology of numerical simulation of population dynamics models:

• Characteristics of spatial eco-evolutionary meta-communities and their response to perturbation.
• Simulating COVID-19 in Northern Ireland using age-structured SEIIR epidemiological models.

Project concepts:

• Spatial ecological modelling of food webs and ecosystems in the Upper Don valley of the Peak District.
• Evolving ideological dynamics in social networks.
• Agent-based simulation of Parkrun and marathon participants with application to track design and race management for minimising congestion risk.

I am also interested in some aspects of fractal geometry, particularly related to graph-directed IFS. The image below was generated by approximating a particular G-IFS system.

The code for this can be found here.

Other research side projects include a collaborative concept to develop pedagogical teaching materials between school mathematics and esports, and a thought exercise from prayer in small groups that led to my rediscovering derangements in combinatorics.