Loïc Merel

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Loïc Merel (1995)

Loïc Merel (born August 13, 1965 in Carhaix-Plouguer in Brittany ) is a French mathematician who deals with modular forms and number theory.

Merel studied from 1986 at the École normal supérieure and received his doctorate in 1993 from the University of Pierre and Marie Curie (Univ. Paris VI) under Joseph Oesterlé on modular symbols (Quelques aspects arithmétiques et géométriques de la théorie des symboles modulaires), taking ideas from Yuri Manin and Barry Mazur took up. Before that, he did a year of “military service” at the École polytechnique . He then did research for the CNRS at the University of Paris VI. From 1995 to 1997 he was "Miller Professor" at the University of California, Berkeley . He is a professor at the University of Paris VII (Univ. Paris-Diderot) and at the Institut de Mathematiques de Jussieu.

Among other things, Merel dealt with the arithmetic of elliptic curves and in his habilitation in 1996 he proved a theorem on the uniform restriction of the order of the torsion group of elliptic curves over number fields. He solved a problem that had been open for more than thirty years. Boundaries for the order of the torsion group were previously only known for special number fields (e.g. for rational number fields through the work of Mazur 1977). Merel could give a bound given by the degree of the number field.

In 1995 he received the bronze medal of the CNRS. He received the Saintour Prize (1994) and the Peccot Prize (1995) from the Collège de France. In 1996 he received the EMS Prize at the European Congress of Mathematicians (ECM) in Bucharest. In 1997 he received the US Blumenthal Prize . In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Points rationnels et Séries de Dirichlet ).

Web links

Individual evidence

  1. Bornes pour la torsion des courbes elliptiques sur les corps des nombres , Inventiones Mathematicae, Vol. 124, 1996, pp. 437-449