Emre Ulusoy is a PhD student within the Department of Mathematics at Imperial College London. Previously, he obtained a BSc in Discrete Mathematics from University of Warwick, followed by an MSc in Mathematical Sciences from University of Oxford. His current research interests lie in the intersection of geometry, topology and deep learning; specifically how the geometry of the model can inform us about generalization, and how the geometry of the data can guide the way we do machine learning on it.