Francis Brown (mathematician)

{{Short description|English-French mathematician}}

{{Infobox scientist

| honorific_prefix =

| honorific_suffix =

| name = Frances Brown

| birth_date = {{Birth date and age|df=yes|1977|11|5}}

| nationality = Franco-British

| fields = Mathematics

| website = https://www.asc.ox.ac.uk/person/professor-francis-brown

| workplaces = All Souls College, Oxford

| alma_mater =

| academic_advisors = Pierre Cartier

| doctoral_students =

| known_for =

| awards = Élie Cartan Prize

| education = Eton College
University of Cambridge
École normale supérieure (Paris) / University of Bordeaux

}}

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 (Paris) and University of Bordeaux,{{cite web |url=https://www.asc.ox.ac.uk/person/professor-francis-brown |title=Professor Francis Brown |date=2023 |website=www.asc.ox.ac.uk |publisher=All Souls College |access-date=2023-05-27}} with Pierre Cartier, graduating in 2006 with a Ph.D.{{MathGenealogy | 215576 }} 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.{{cite web |url=https://www.cnrs.fr/en/node/656 |title=Francis Brown |website=www.cnrs.fr |date=September 2012 |publisher=Centre national de la recherche scientifique |access-date=2023-05-27}}{{cite web |url=https://www.academie-sciences.fr/archivage_site/activite/prix/laureat_cartan.pdf |title=Prix Élie Carton (Mathématique) |website=www.cnrs.fr |publisher=Académie des sciences |date=2012-10-03 |access-date=2023-05-27}} 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.{{cite journal |last1=Brown |first1=Francis |date=2012 |title=Mixed Tate motives over \mathbb{Z} |url=https://www.jstor.org/stable/23234629 |journal=Annals of Mathematics |volume=172 |issue=2 |pages=949–976 |doi= 10.4007/annals.2012.175.2.10|jstor=23234629 |access-date=|arxiv=1102.1312 }} He also works on Zeta functions in quantum field theory.

Selected publications

  • Multiple zeta values and periods of moduli spaces {\mathfrak M}_{0,n}. Ann. Sci. Éc. Norm. Supér. (4) 42 (2009), no. 3, 371–489. [http://arxiv.org/abs/math/0606419 ArXiv]
  • Mixed Tate motives over \Z. Ann. of Math. (2) 175 (2012), no. 2, 949–976. [http://arxiv.org/abs/1102.1312 ArXiv]
  • Dedekind zeta motives for totally real number fields. Invent. Math. 194 (2013), no. 2, 257–311. [http://arxiv.org/abs/0804.1654 ArXiv]
  • Motivic periods and P^1\setminus\left\{0,1,\infty\right\}. Proceedings of the ICM 2014. [http://www.ihes.fr/%7Ebrown/MotivicPeriodsandP1minus3pointsv3.pdf online]

References

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