Ecological geometry: applying geometric and topological concepts and tools to model how animals interact with each other and their environment

These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Please consider this before applying. 

Biological processes are often modelled using differential equations and at equilibrium points. Much of the topological and geometric structures of the data – and of underlying biological processes – are overlooked. This can prevent us to visualise and understand broader patterns.

This project aims to address this knowledge gap and apply topological and geometric concepts to the study of biological systems. The project will develop new mathematical models that take into account the shape of the data, and of the underlying biological system, to describe how species interact with each other and with their environment. The aim is to provide explicit models that can explain observable phenomena and also generate predictions for future empirical studies. Therefore, the project lies at the interface between applied mathematics, theoretical ecology, and experimental work. This will give the candidate the opportunity to focus on different areas and develop a truly interdisciplinary project.

The direction of the project will be dictated by the candidate’s expertise and strengths as well as by their appetite to develop new skills in adjacent disciplines. This includes (but is not limited) to students with strong pure and applied mathematics background, theoretical physics, ecology, biological sciences, and computer sciences.  

Informal enquiries are welcome. Please send a copy of your full undergraduate transcript (and/or Masters Transcript and Masters dissertation, if applicable) to Dr Juliano Morimoto with a brief description of why you are interested in this project and main strengths you will use to develop a novel approach to a biological problem (max 300 words).

Essential Background:

Decisions will be based on academic merit. The successful applicant should have, or expect to obtain, a UK Honours Degree at 2.1 (or equivalent) in pure and applied mathematics background, theoretical physics, ecology, biological sciences, and computer sciences..

Application Procedure:

Formal applications can be completed online: https://www.abdn.ac.uk/pgap/login.php.

You should apply for Mathematics (PhD) to ensure your application is passed to the correct team for processing.

Please clearly note the name of the lead supervisor and project title on the application form. If you do not include these details, it may not be considered for the studentship.

Your application must include: A personal statement, an up-to-date copy of your academic CV, and clear copies of your educational certificates and transcripts.

Please note: you DO NOT need to provide a research proposal with this application.

If you require any additional assistance in submitting your application or have any queries about the application process, please don't hesitate to contact us at [Email Address Removed]