Francis Brown is a Franco-British mathematician who works on Arithmetic geometry and Quantum Field Theory.

Brown studied at the University of Cambridge and the École normale supérieure (Paris) and University of Bordeaux,^[1] with Pierre Cartier, graduating in 2006 with a Ph.D.^[2] He then spent time at the Max Planck Institute for Mathematics and Mittag-Leffler Institute. In 2007 he moved to Institut de mathématiques de Jussieu – Paris Rive Gauche where he won a European Research Council starter grant in 2010. In 2012, he moved to the Institut des Hautes Études Scientifiques and was awarded a CNRS Bronze Medal and Élie Cartan Prize for his proof of two conjectures related to multiple zeta functions.^[3][4] He had a Von Neumann Fellowship at the Institute for Advanced Study from 2014 to 2015 and is currently a senior research fellow at All Souls College, at the University of Oxford.

Brown's work is on the intersection of algebraic geometry and number theory. He has published on Tate Motives.^[5] He also works on Zeta functions in quantum field theory.

• Multiple zeta values and periods of moduli spaces ${\displaystyle {\mathfrak {M}}_{0,n}}$. Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), no. 3, 371–489. ArXiv
• Mixed Tate motives over ${\displaystyle \mathbb {Z} }$. Ann. of Math. (2) 175 (2012), no. 2, 949–976. ArXiv
• Dedekind zeta motives for totally real number fields. Invent. Math. 194 (2013), no. 2, 257–311. ArXiv
• Motivic periods and ${\displaystyle P^{1}\setminus \left\{0,1,\infty \right\}}$. Proceedings of the ICM 2014. online