PhD Supervision
I welcome applications from prospective PhD students. These can be made through the Departmental Application page, however I am happy to answer any preliminary questions. My research interests lie in probabilistic and stochastic modelling, primarily with applications in ecology and evolution. Specific projects can be varied to suit the applicant. For more insight into what I'm currently working on, Google Scholar is a good indicator.
Xiaoyuan (Philip) Liu
2020-2024
Philip obtained a BSc in Mathematics from the University of York in 2019, before moving onto complete an MSc in Mathematical Physics at the University Of Edinburgh. In 2020 he joined the University of York's PhD programme in Mathematics, cosupervised by co-supervised by George Constable and Jon Pitchford. His work can be found below:
-
2026 - Stress, Sex, Cysts and Spores: Selection for Syngamy, Meiosis, and Dormancy Under Resource Limitation in Eukaryotic Microbes, Integrative and Comparative Biology, G.W.A. Constable, X. Liu
-
2025 - Cell size and selection for stress-induced cell fusion in unicellular eukaryotes, PLoS Computational Biology, X. Liu, J.W. Pitchford, G.W.A. Constable
-
2025 - Parthenogenesis, sexual conflict, and selection on fertilization rates in switching environments, Theoretical Population Biology, X. Liu, J.W. Pitchford, G.W.A. Constable
-
2023 - Feasibility and stability in large Lotka Volterra systems with interaction structure, Physical Review E, X. Liu, G.W.A. Constable, J.W. Pitchford
Philip is now a postdoctoral researcher in the Cancer Research UK Scotland Institute.
Yvonne Krumbeck
2018-2022
In 2015, Yvonne completed a BSc in Physics at the University of Münster. Fascinated by non-linear dynamics, they entered the Master’s programme in Complex Adaptive Systems at the University of Gothenburg, graduating in 2018. Yvonne's PhD was co-supervised by George Constable and Tim Rogers from 2018, with a successful defence in 2022. Yvonne's work can be found below:
-
2022 - Stochastic mathematical biology in ecology and evolution - University of Bath PhD Thesis, Y. Krumbeck
-
2021 - An Invitation to Stochastic Mathematical Biology, Notices of The AMS, G.W.A. Constable, Y. Krumbeck, T. Rogers
-
2021 - Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks, Nature Communications, Y. Krumbeck, Q. Yang, G.W.A. Constable, T. Rogers
-
2021 - Behind The Paper - Fluctuations Reveal Hidden Structures In Ecosystems, Y. Krumbeck
-
2020 - Fitness differences suppress the number of mating types in evolving isogamous species, Royal Society Open Science, Y. Krumbeck, G.W.A. Constable, T. Rogers
