My broad research interests are at the intersection of geometry, topology and learning theory. Generally, I thrive on intuitive and motivated problems that are easily communicated but hard to solve. I feel happiest when working on abstract mathematics that naturally arise from concrete problems - or when beautiful mathematics find natural applications.
I am currently a PhD student at the university of Copenhagen, where I feel very fortunate to be supervised by Amir Yehudayoff and co-advised by Mikkel Abrahamsen. My recent research has focused on answering fundamental questions about neural networks, particularly the role of depth in expressivity, using geometry and topology. Before joining BARC, I worked at the Institute of Science and Technology Austria under the supervision of Uli Wagner, Herbert Edelsbrunner and Matthew Kwan, where my research focused on discrete and computational geometry and topology.
In my free time, I enjoy connecting ideas from my own research to tangible applications and objects. I design and build wooden and metal puzzles that aim to bring interesting mathematics to a wider audience and am currently working on a board game based on geometry and combinatorial design theory (link coming soon!).
Email: flbr (at) di (dot) ku (dot) dk