This talk will explore a series of topics and example applications at the interface of graph theory and dynamics, from synchronization and diffusion dynamics on networks, to graph-based data clustering, to graph convolutional neural networks. The underlying links are provided by concepts in spectral graph theory.
Prof. Mauricio Barahona is Chair in Biomathematics and Director of the EPSRC Centre for Mathematics of Precision Healthcare at Imperial. He obtained his PhD at MIT, under Steve Strogatz, followed by a MEC Fellowship at Stanford and the Edison International Fellowship at Caltech. His research is in the development of mathematical and computational methods for the analysis of biological, social and engineering systems using ideas from graph theory, dynamical systems, stochastic processes, optimisation and machine learning.