Oxford University, UK
Prof Heather Harrington is a Royal Society University Research Fellow and Associate Professor in the Mathematical Institute at the University of Oxford. She is Co-Director of the Centre for Topological Data Analysis. Her research focuses on the problem of reconciling models and data by extracting information about the structure of models and the shape of data. To develop these methods, Prof Harrington integrates techniques from a variety of disciplines such as computational algebraic geometry and topology, statistics, optimisation, network theory, linear algebra, and dynamical systems. Based on this research, she was recently awarded a London Mathematical Society Whitehead Prize.
Topological data analysis for investigation of dynamics and biological networks
Persistent homology (PH) is a technique in topological data analysis that allows one to examine features in data across multiple scales in a robust and mathematically principled manner, and it is being applied to an increasingly diverse set of applications. We investigate applications of PH to dynamic biological networks with concrete examples from contagions, neuroscience, and blood vessels.