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According to Wikipedia , Francis Brown is a Franco-British mathematician who works on Arithmetic geometry and Quantum Field Theory. Career Brown studied at the University of Cambridge and the École normale supérieure and University of Bordeaux, with Pierre Cartier, graduating in 2006 with a Ph.D. 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. 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.
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2010 2020 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 Published Works Mixed Tate motives over $\Z$ (2011) The Massless Higher-Loop Two-Point Function (2008) Multiple zeta values and periods of moduli spaces $\overline{\mathfrak {M}}_{0,n}$ (2009) On the periods of some Feynman integrals (2009) (185)On the decomposition of motivic multiple zeta values (2011) Multiple Elliptic Polylogarithms (2011) (158)SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES (2014) Polylogarithmes multiples uniformes en une variable (2004) Angles, Scales and Parametric Renormalization (2011) Spanning Forest Polynomials and the Transcendental Weight of Feynman Graphs (2009) Notes on Motivic Periods (2015) A K3 in $\phi^{4}$ (2010) A class of non-holomorphic modular forms I (2017) Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$ (2014) (66)Iterated integrals in quantum field theory (2013) Feynman amplitudes, coaction principle, and cosmic Galois group (2017) Feynman integrals and iterated integrals on moduli spaces of curves of genus zero (2014) Modular forms in Quantum Field Theory (2013) SINGLE-VALUED PERIODS AND MULTIPLE ZETA VALUES (2013) (51)Single-Valued Integration and Superstring Amplitudes in Genus Zero (2019) A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS (2017) Symbolic integration and multiple polylogarithms (2012) Multiple zeta values and periods of moduli spaces $\mathfrak{M}_{0,n}$ (2006) (42)Depth-graded motivic multiple zeta values (2013) Properties of c_2 invariants of Feynman graphs (2012) Proof of the zig-zag conjecture (2012) (32)Framings for graph hypersurfaces (2013) (32)Irrationality proofs for zeta values, moduli spaces and dinner parties (2014) (32)Single-valued multiple polylogarithms and a proof of the zig–zag conjecture (2015) Single-valued integration and double copy (2018) Feynman Amplitudes and Cosmic Galois group (2015) (30)Multiple Modular Values for SL_2(Z) (2014) (24)A double integral of dlog forms which is not polylogarithmic (2020) Motivic periods and the projective line minus three points (2014) (23)Li's criterion and zero-free regions of L-functions (2005) The algebra of cell-zeta values (2009) Zeta elements in depth 3 and the fundamental Lie algebra of a punctured elliptic curve (2015) (20)ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE (2017) Periods and Feynman amplitudes (2015) (19)LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS (2019) A class of non-holomorphic modular forms III: real analytic cusp forms for $$\mathrm {SL}_2(\mathbb {Z})$$SL2(Z) (2017) Algebraic de Rham theory for weakly holomorphic modular forms of level one (2017) From the Deligne-Ihara conjecture to Multiple Modular Values (2019) (12)Invariant Differential Forms on Complexes of Graphs and Feynman Integrals (2021) Motivic periods and P1\{0, 1,∞} (2014) (11)Dedekind zeta motives for totally real number fields (2008) Integral points on curves, the unit equation, and motivic periods (2017) (9)Anatomy of an associator (2017) (8)Decomposing Feynman rules (2012) Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem (2016) A class of non-holomorphic modular forms III: real analytic cusp forms for SL2(Z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{ (2018) A multi-variable version of the completed Riemann zeta function and other $L$-functions (2019) (4)Generalised graph Laplacians and canonical Feynman integrals with kinematics (2022) (3)AN EXACT SEQUENCE FOR THE BROADHURST-KREIMER CONJECTURE (2013) (2)Inversion of series and the cohomology of the moduli spaces $\scr M\sb 0,n\sp δ$ (2010) (2)Inversion of series and the cohomology of the moduli spaces $\mathcal{M}^{\delta}_{0,n}$ (2009) (1)On cellular rational approximations to $\zeta(5)$ (2022) (0)Titles and Abstracts (2018) (0)A class of non-holomorphic modular forms I (2018) Feynman integrals and hyperlogarithms (2015) (0)A K3 IN φ (2010) (0)1 9 Ju l 2 01 4 Motivic periods and P 1 \ { 0 , 1 , ∞ } (2014) (0)P o S ( L L 2 0 1 2 ) 0 4 9 Decomposing Feynman rules (2012) (0)SUMMER SCHOOL “THE STRUCTURE OF LOCAL QUANTUM FIELDS” ORGS.: DIRK KREIMER WITH SPENCER BLOCH AND FRANCIS BROWN (2009) (0)SUMMER SCHOOL “THE STRUCTURE OF LOCAL QUANTUM FIELDS” ORGS.: DIRK KREIMER WITH SPENCER BLOCH AND FRANCIS BROWN (2009) (0)A FIXED POINT THEOREM FOR OPEN Q-ACYCLIC «-MANIFOLDS 1 (2010) (0)Dedekind zeta motives for totally real number fields (2013) More Papers This paper list is powered by the following services:
Other Resources About Francis Brown What Schools Are Affiliated With Francis Brown ? Francis Brown is affiliated with the following schools:
