Dr Alexander's research focuses on modelling and predicting new behaviour in complex systems. His research falls into three categories:
Nonlinear wave dynamics in optics and Bose-Einstein condensates, including the theory of solitons and non-equilibrium wave dynamics;
Heat flow and control and associated problems in nonlinear dynamics;
Social dynamics modelling, involving data science techniques for managing and analyzing social data, and computational modelling of social systems.
Computational techniques are an essential part of his research, and include the simulation and analysis of nonlinear partial differential equations, the simulation of agent-based models, and machine learning techniques to extract information from data. His research is intrinsically interdisciplinary and he collaborates with researchers from a wide range of backgrounds across the University.
