In the 1990s, Noam Elkies, followed by A. O. L. Atkin devised improvements to Schoof's basic algorithm by making a distinction among the primes that are used.
In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups.
Noam Elkies was first to find an infinite series of solutions to Euler's equation with exactly one variable equal to zero, thus disproving Euler's sum of powers conjecture for the fourth power.
Noam Chomsky | Noam Friedlander | Noam Elkies | Noam Jacobson | Noam | Schoof–Elkies–Atkin algorithm | Noam Pikelny |
Schoof–Elkies–Atkin algorithm, extension of Schoof's algorithm by Noam Elkies and A. O. L. Atkin to improve its efficiency