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- Q859896 description "Mathematician".
- Q859896 description "Mathematician".
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- Q859896 abstract "René Schoof (born 8 May 1955, Den Helder) is a mathematician from the Netherlands who works in Algebraic Number Theory, Arithmetic Algebraic Geometry, Computational Number Theory and Coding Theory.He received his Ph.D. in 1985 from the University of Amsterdam with Hendrik Lenstra (Elliptic Curves and Class Groups). He is now a professor at the University Tor Vergata in Rome.In 1985, Schoof discovered an algorithm which enabled him to count points on elliptic curves over finite fields in polynomial time. This was important for the use of elliptic curves in cryptography, and represented a theoretical breakthrough, as it was the first deterministic polynomial time algorithm for counting points on elliptic curves. The algorithms known before (e.g. the baby-step giant-step algorithm) were of exponential running time. His algorithm was improved by A. O. L. Atkin (1992) and Noam Elkies (1990).He obtained the best known result extending Deligne's Theorem for finite flat group schemes to the non commutative setting, over certain local Artinian rings.His interests range from Algebraic Number Theory, Arakelov theory, Iwasawa theory, problems related to existence and classification of Abelian varieties over the rationals with bad reduction in one prime only, algorithms.He also wrote a book on Catalan's conjecture.".
- Q859896 almaMater Q214341.
- Q859896 birthDate "1955-05-08".
- Q859896 birthName "René J. Schoof".
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- Q859896 birthYear "1955".
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- Q859896 thumbnail Rene_Schoof.jpg?width=300.
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- Q859896 almaMater Q214341.
- Q859896 birthDate "1955-05-08".
- Q859896 birthName "René J. Schoof".
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- Q859896 dateOfBirth "1955-05-08".
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- Q859896 name "René Schoof".
- Q859896 name "Schoof, René".
- Q859896 nationality Q55.
- Q859896 placeOfBirth "Den Helder".
- Q859896 shortDescription "Mathematician".
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- Q859896 comment "René Schoof (born 8 May 1955, Den Helder) is a mathematician from the Netherlands who works in Algebraic Number Theory, Arithmetic Algebraic Geometry, Computational Number Theory and Coding Theory.He received his Ph.D. in 1985 from the University of Amsterdam with Hendrik Lenstra (Elliptic Curves and Class Groups).".
- Q859896 label "René Schoof".
- Q859896 depiction Rene_Schoof.jpg.
- Q859896 givenName "René".
- Q859896 name "René Schoof".
- Q859896 name "Schoof, René".
- Q859896 surname "Schoof".