Antoine Chambert-Loir
Antoine Chambert-Loir (born April 26, 1971 ) is a French mathematician who deals with arithmetic algebraic geometry.
Life
Chambert-Loir received his doctorate in 1995 under Daniel Bertrand at the University of Pierre and Marie Curie ( Extensions vectorielles, périodes et hauteurs ). He was a professor at the École polytechnique , then at the University of Rennes I , and has been a professor at the Paris-South University since 2012 .
Among other things, he deals with the counting of rational and integer points on different algebraic varieties over number fields, for example with Yuri Tschinkel of points of limited height in equivariate compactifications of affine spaces and toric varieties (with Tschinkel). He introduced a measure named after him on non-Archimedean analytical spaces in the sense of Berkovich and applied it to questions of equal distribution and in Arakelov geometry.
In 2009 he was a Von Neumann Fellow at the Institute for Advanced Study . He is a junior member of the Institut Universitaire de France. For 2017 he was awarded the Ferran Sunyer i Balaguer Prize .
He has a math blog: Freedom Math Dance .
Fonts
- Field Guide to Algebra , Springer Verlag 2005
- with Serge Cantat , Vincent Guedj Quelques aspects des systèmes dynamiques polynomiaux , Panorama et Synthèse, Volume 30, SMF 2010
- In it by Chambert-Loir the chapter Theorèmes d'equidistribution pour les systèmes dynamiques d'origine arithmétique , pp. 203-294, with cantat: Dynamique p-adique (d'après les exposés de Jean-Christophe Yoccoz) , p. 295.
- Mesures et equidistribution sur des espaces de Berkovich , J. Pure Applied Mathematics, Volume 595, 2006, pp. 215-235, Arxiv
- with François Loeser Motivic Height Zetafunctions , 2013
- Lectures on height zeta functions: At the confluence of algebraic geometry, algebraic number theory, and analysis, Lectures French-Japanese Winter School, Miura 2008
- Heights and measures on analytic spaces. A survey of recent results, and some remarks , in: Raf Cluckers , Johannes Nicaise , Julien Sebag Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry , London Mathematical Society Lecture Note Series 384, Cambridge University Press 2011, p. 1 -50, Arxiv
- Points de petite hauteur sur les variétés semi-abéliennes , Annales scientifiques de l'École Normale Supérieure, 33, 2000, 789-821.
- Géométrie d'Arakelov et hauteurs canoniques sur des variétés semi-abéliennes , Mathematische Annalen, 314, 1999, 381–401.
- Théorie de Dieudonné cristalline et périodes p-adiques, 1997
- with Jean-Benoît Bost Analytic curves in algebraic varieties over number fields , in Tschinkel, Yuri Manin Algebra, Arithmetic and Geometry , Birkhäuser 2009, Arxiv
Web links
- Homepage in Orsay
- Website at the IAS
- Website at the Ecole Polytechnique
- Literature by and about Antoine Chambert-Loir in the SUDOC catalog (Association of French University Libraries)
Individual evidence
- ↑ Antoine Chambert-Loir in the Mathematics Genealogy Project (English)
- ↑ Tschinkel, Chambert-Loir Points of bounded height on equivariant compactifications of vector groups, I , 1999
- ↑ Mesures et équidistribution sur des espaces de Berkovich , J. Pure Applied Math., 2006
| personal data | |
|---|---|
| SURNAME | Chambert-Loir, Antoine |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | April 26, 1971 |