My research is concerned with the mathematical foundations of artificial intelligence, and in particular geometric deep learning. In this field, we use geometry to describe and undestand the fundamental structures and symmetries occuring in machine learning. I lead a research group focused on neural differential equations where dynamical systems are used to describe neural networks in the continuum limit of infinite depth. We develop novel models and use differential geometry to analyse their properties and dynamics.
I am subject coordinator and teach mathematics at the Science and Technology Foundation Year Programme. In addition, I teach various introductory courses in mathematics, supervise students in bachelor’s and master’s thesis projects, and teach doctoral-level courses in mathematics related to my research.