Francis Brown (mathematician)
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Francis Brown is a Franco-British
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
who works on Arithmetic geometry and
Quantum Field Theory In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
.


Career

Brown studied at the University of Cambridge and the École normale supérieure (Paris) 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 The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck S ...
and
Mittag-Leffler Institute The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in half-year programs in specialized mathematical subjects. The Institute is run by the Royal Swe ...
. In 2007 he moved to
Institut de mathématiques de Jussieu – Paris Rive Gauche The Mathematics Institute of Jussieu–Paris Rive Gauche (''Institut de mathématiques de Jussieu–Paris Rive Gauche'', IMJ-PRG) is a French research institute in fundamental mathematics. It is a "mixed research unit", with three parent organiz ...
where he won a
European Research Council The European Research Council (ERC) is a public body for funding of scientific and technological research conducted within the European Union (EU). Established by the European Commission in 2007, the ERC is composed of an independent Scientific ...
starter grant in 2010. In 2012, he moved to the Institut des Hautes Études Scientifiques and was awarded a
CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...
Bronze Medal A bronze medal in sports and other similar areas involving competition is a medal made of bronze awarded to the third-place finisher of contests or competitions such as the Olympic Games, Commonwealth Games, etc. The outright winner receive ...
and Élie Cartan Prize for his proof of two conjectures related to
multiple zeta function In mathematics, the multiple zeta functions are generalizations of the Riemann zeta function, defined by :\zeta(s_1,\ldots,s_k) = \sum_\ \frac = \sum_\ \prod_^k \frac,\! and converge when Re(''s''1) + ... + Re(''s'i'')&nb ...
s. He had a Von Neumann Fellowship at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
from 2014 to 2015 and is currently a senior research fellow at All Souls College, at the
University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...
. Brown's work is on the intersection of
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
and
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777â ...
. He has published on Tate Motives. He also works on Zeta functions in quantum field theory.


Selected publications

* ''Multiple zeta values and periods of moduli spaces _.'' Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), no. 3, 371–489
ArXiv
* ''Mixed Tate motives over \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 P^1\setminus\left\''. Proceedings of the ICM 2014
online


References


External links


Personal Page for Fraces Brown
{{DEFAULTSORT:Brown, Francis 21st-century French mathematicians 21st-century British mathematicians Alumni of the University of Cambridge University of Bordeaux alumni Fellows of All Souls College, Oxford Living people 1977 births