Jialu Ding is a postgraduate researcher in the Department of Mathematics at King’s College London, specializing in the study of ecosystems on random graphs. Her research focuses on applying nonlinear systems, particularly LotkaVolterra equations, to investigate the dynamics and stability of ecosystems. Jialu’s project aims to extend the application of random matrix theory to nonlinear systems, providing new insights into the behavior and stability of complex ecosystems. Her work could have far-reaching implications for understanding real-world ecological networks.

Jialu completed her master’s degree at King’s College London, where her thesis explored phase transitions and metastability in binary mixtures, utilizing a combination of classical and modern theoretical methods. This work had applications in understanding biological systems such as liquid-liquid phase separation.

Jialu is currently involved in teaching Calculus I tutorials, and she is an active participant in academic workshops and conferences. In addition, she has applied for funding and competitions such as the Hausdorff School and STEM for Britain to further support her research.

Thesis

Jialu’s research focuses on developing stability diagrams for ecosystems modeled on random graphs, extending the traditional random matrix theory to nonlinear systems. This research has practical implications for understanding ecosystem resilience, especially in the face of environmental changes.

Research interests

• Ecosystem dynamics and stability on random graphs
• Nonlinear systems and ecological modeling
• Applications of random matrix theory
• Phase transitions and metastability in disordered systems

PhD supervision

First supervisor: Dr Izaak Neri

Second supervisor: Dr Pierpaolo Vivo