PhD Scholarship in Mathematics

This PhD scholarship focuses on modern network science, complex systems and nonlinear dynamics. The research field has transformed the study of complex systems and led to innovations across engineering, social, biological, and physical sciences. The project will build upon spectral graph analysis and nonlinear dynamics to develop breakthrough theories for control and improvement of complex networked system behaviour. The research will deal with non-random, assortative and/or structured networks, which are not well understood despite being the norm in the real world. The project may also involve analysis and model building related to epidemic dynamics in human populations, including epidemic outbreaks through contact networks of large populations, synchrony in neural oscillators controlling brain activities, and cascade failures in power grid networks.