René Schoof

René Schoof is a Dutch mathematician who is engaged in algebraic number theory, arithmetic algebraic geometry, number theory and algorithmic coding theory.

Schoof his PhD in 1985 at the University of Amsterdam at Hendrik Lenstra (Elliptic Curves and Class Groups). He is a professor at the University of Tor Vergata in Rome.

Schoof found in 1985 an algorithm that counted in polynomial time points on elliptic curves over finite fields. This was important for the use of elliptic curves in cryptography. The algorithm was impractical in its original form and was of AOL Atkin (1992) and Noam Elkies (1990 ) improved.

Schoof also wrote a book about the Catalansche guess.

Writings

  • Counting points of elliptic curves over finite fields, Journal of the Theories of Nombres de Bordeaux, Vol 7, 1995, pp. 219-254, pdf file
  • With Gerard van der Geer, Ben Moonen (Editor ): Number fields and function fields - two parallel worlds, Birkhauser 2005
  • Catalan 's Conjecture, Universitext, Springer, 2008
Computational number theory A. O. L. Atkin Daniel Shanks
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