Eric Reyssat

Éric Reyssat is a French mathematician who mainly deals with number theory.

Reyssat made in 1977 when Michel Waldschmidt at the University of Paris VI his diploma ( mesures de nombres de transcendence lies aux fonctions elliptiques ) and in 1982 a doctorate ( approximation diophantienne et fonctions de Weierstrass ). He has been a professor at Caen University since the late 1980s .

In number theory he deals with transcendent numbers , Diophantine approximations and arithmetic geometry, the abc conjecture and cryptography with elliptic curves .

In the theory of transcendent numbers, he achieved results in the context of the Gelfond conjecture at the beginning of the 1980s , with results (on the degree of transcendence of the numbers in the conjecture) from Gregory Chudnovsky , Patrice Philippon, Reyssat and others finally becoming the best result to date by Guy Diaz in 1989 led. Further work by Reyssat concerns the transcendence of values ​​of elliptic functions.

Fonts

• Galois theory for coverings and Riemann Surfaces. In: Michel Waldschmidt , Jean-Marc Luck, Pierre Moussa, Claude Itzykson (Eds.): From Number Theory to Physics. Lectures given at the meeting "Number Theory and Physics", held at the "Center de Physique", Les Houches, France, March 7-16, 1989. Springer, Berlin et al. 1992, ISBN 3-540-53342-7 , pp. 394-412.
• Quelques Aspects des Surfaces de Riemann (= Progress in Mathematics. 77). Birkhäuser, Boston MA et al. 1989, ISBN 0-8176-3441-X .
• Transcendance et fonctions elliptiques. In: Séminaire de théorie des nombres. 1980-1981. (Bordeaux). Laboratoire de théorie des nombres, Talence 1981, pp. 4.01-4.14, ( digitized version ).
• Un critère d'indépendance algébrique. In: Journal for pure and applied mathematics . Volume 329, 1981, pp. 66-81 .

Web links

• Homepage