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Jean-Louis Colliot-Thélène

Jean-Louis Colliot-Thélène

D-Index & Metrics

Mathematics

D-Index
39
Citations
5858
World Ranking
2224
National Ranking
139

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Jean-Louis Colliot-Thélène is affiliated with the University of Paris-Saclay in France and focuses on research within the field of Mathematics. Their work spans various subfields, including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Computational Theory and Mathematics, and History and Philosophy of Science.

The main topics covered in their research include:

  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Commutative Algebra and Its Applications
  • Polynomial and algebraic computation
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Differential Equations and Dynamical Systems
  • Historical Studies and Socio-cultural Analysis

Jean-Louis Colliot-Thélène's recent publications demonstrate an emphasis on local-global principles, arithmetic geometry, and algebraic structures. Notable papers include:

  • "Local-global principles for tori over arithmetic curves," 2020, Algebraic Geometry
  • "Rationality of complete intersections of two quadrics over nonclosed fields," 2021, L'Enseignement Mathématique
  • "Local-Global Principles for Constant Reductive Groups over Semi-Global Fields," 2022, The Michigan Mathematical Journal
  • "Retour sur l'arithmétique des intersections de deux quadriques," 2023, Journal für die reine und angewandte Mathematik (Crelles Journal)
  • "Zéro-cycles sur les surfaces de del Pezzo (Variations sur un thème de Daniel Coray)," 2021, L'Enseignement Mathématique

Their frequent coauthors include:

  • Alexei N. Skorobogatov (20 joint publications)
  • Federico Scavia (4 joint publications)
  • David Harbater (3 joint publications)
  • Julia Hartmann (3 joint publications)
  • Daniel Krashen (3 joint publications)

Jean-Louis Colliot-Thélène has contributed to several publication venues, with multiple papers appearing in archives and journals such as:

  • arXiv (Cornell University)
  • L'Enseignement Mathématique
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Algebraic Geometry
  • The Michigan Mathematical Journal

In addition to articles, they have authored a book published by Springer International Publishing titled The Brauer-Grothendieck Group (2021), which has accumulated significant citations.

Jean-Louis Colliot-Thélène received the designation of Fellow of the American Mathematical Society in 2013.

Best Publications

  • La descente sur les variétés rationnelles, II

    Jean-Louis Colliot-Thélène;Jean-Jacques Sansuc

  • La $R$-équivalence sur les tores

    Jean-Louis Colliot-Thélène;Jean-Jacques Sansuc

  • Principal homogeneous spaces under flasque tori: Applications

    Jean-Louis Colliot-Thélène;Jean-Jacques Sansuc

  • Intersections of two quadrics and Chatelet surfaces.I.

    Unknown

  • TORSION DANS LE GROUPE DE CHOW DE CODIMENSION DEUX

    Jean-Louis Colliot-Thélène;Jean-Jacques Sansuc;Christophe Soulé

  • Variétés unirationnelles non rationnelles: au-delà de l'example d'Artin et Mumford.

    Jean-Louis Colliot-Thélène;Manuel Ojanguren

  • Varietes stablement rationnelles non rationnelles

    Par Arnaud Beauville;JEAN-LouIs Colliot-Thelene;Jean-Jacques Sansuc;Sir Peter

  • Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.

    Jean-Louis Colliot-Thélène

  • Hypersurfaces quartiques de dimension 3: Non rationalite stable

    Jean Louis Colliot-Thélène;Alena Pirutka

  • The Bloch-Ogus-Gabber theorem

    Unknown

  • K2-Cohomology and the Second Chow Group.

    Jean Louis Colliot-Thélène;Wayne Raskind

  • Fibrés quadratiques et composantes connexes réelles

    J. L. Colliot-Thélène;J. J. Sansuc

  • Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms

    Jean-Louis Colliot-Thélène;Fei Xu

  • Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.

    Jean-Louis Colliot-Thélène

  • Cohomologie non ramifiée et conjecture de Hodge entière

    Jean-Louis Colliot-Thélène;Claire Voisin

  • On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch

    Jean-Louis Colliot-Thélène;Jean-Jacques Sansuc

  • Espaces principaux homogènes localement triviaux

    Jean-Louis Colliot-Thélène;Manuel Ojanguren

  • Patching and local-global principles for homogeneous spaces over function fields of p-adic curves

    Jean-Louis Colliot-Thélène;Raman Parimala;Venapally Suresh

  • The Brauer–Grothendieck Group

    Jean-Louis Colliot-Thélène;Alexei N. Skorobogatov

  • Double fibres and double covers: paucity of rational points

    J. Colliot-Thélène;A. Skorobogatov;Peter Swinnerton-Dyer

  • Points Rationnels sur les Fibrations

    Jean-Louis Colliot-Thélène

  • Arithmétique des Surfaces Cubiques Diagonales

    Jean-Louis Colliot-Thélène;Dimitri Kanevsky;Jean-Jacques Sansuc

Frequent Co-Authors

Claire Voisin
Claire Voisin Institut de Mathématiques de Jussieu
John Coates
John Coates University of Cambridge
Dimitri Kanevsky
Dimitri Kanevsky Google (United States)
Yuri Tschinkel
Yuri Tschinkel Courant Institute of Mathematical Sciences
Brendan Hassett
Brendan Hassett Brown University
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Marie-Françoise Roy
Marie-Françoise Roy University of Rennes

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