First place: Inés García-Redondo
“My research combines pure mathematics, particularly topology and geometry, with machine learning. I am interested in developing new methods for extracting notions of “shape” from data and leveraging these to better understand modern deep learning models.
“My PhD research focused on persistent homology, a tool inspired by algebraic topology that captures topological features, such as holes, in data across multiple scales. In particular, I studied duality phenomena within persistent homology, developed statistical methods for topological data analysis, and applied these techniques to investigate the generalisation properties of neural networks and the behaviour of large language model representation spaces under adversarial perturbations.
“As a postdoctoral researcher in the AIDOS (AI for Data-Oriented Science) group at the University of Fribourg, Switzerland, I continue to explore this intersection, with a particular focus on building more rigorous mathematical foundations for AI.”