André Néron

Who is André Néron?

André Néron was a French mathematician at the Université de Poitiers who worked on elliptic curves and Abelian varieties. He discovered the Néron minimal model of an elliptic curve or abelian variety, the Néron differential, the Néron–Severi group, the Néron–Ogg–Shafarevich criterion, the local height and Néron–Tate height of rational points on an Abelian variety over a discrete valuation ring or Dedekind domain, and classified the possible fibers of an elliptic fibration.

He was a student of Albert Châtelet, and his PhD students were Jean-Louis Colliot-Thélène and Gérard Ligozat.

He gave invited talks at the International Congress of Mathematicians in 1954 and 1966. In 1983 the Académie des sciences awarded him the Émile Picard Medal.

He died of cancer in 1985.