Francis Brown works in algebraic geometry and mathematical physics. His research ranges from pure mathematics to methods for precision calculations in high-energy particle physics. He is also committed to supporting the mathematical sciences through fundraising and charitable work.
He has been a Senior Research Fellow at All Souls College, Oxford since 2014, having previously worked at IHES in Paris and the CNRS from 2007.
His contributions include resolving conjectures of Deligne on the Riemann sphere minus three points, Goncharov–Manin on moduli spaces of curves, and Hoffman on multiple zeta values, as well as decisive results on several problems of Kontsevich.
His work on the motivic Galois theory of periods and on modular and elliptic iterated integrals has transformed our understanding of amplitudes in quantum field theory and led to major advances in the computation of Feynman integrals, which underpin predictions at the Large Hadron Collider.
Professional position
- Senior Research Fellow, All Souls College, University of Oxford
- Professor of Mathematics, Mathematical Institute, University of Oxford
