Post-quantum cryptography is rapidly evolving to counter threats posed by quantum computing, and elliptic curves combined with isogeny methodologies offer a promising avenue. This approach leverages ...

In August, a pair of mathematicians discovered an exotic, record-breaking curve. In doing so, they tapped into a major open question about one of the oldest and most fundamental kinds of equations in ...

Many complicated advances in research mathematics are spurred by a desire to understand some of the simplest questions about numbers. How are prime numbers distributed in the integers? Are there ...

Soit E une courbe elliptique sur ℚ, soit K un corps quadratique imaginaire, et soit K∞ une ℤp-extension de K. Étant donné un ensemble ∑ de places de K contenant les places audessus de p et les places ...

Mathematicians have opened a new chapter in the theory of moonshine, one which begins to harness the power of the pariahs -- sporadic simple groups that previously had no known application.

The NSA is moving away from Elliptic Curve Cryptography, and cryptographers aren’t buying their reasoning that advances in post quantum computing put ECC in jeopardy. The National Security Agency has ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

Author Nick Sullivan worked for six years at Apple on many of its most important cryptography efforts before recently joining CloudFlare, where he is a systems engineer. He has a degree in mathematics ...

Editor's note: See the original article on PurpleAlientPlanet. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems. Since I often have to ...

Manjul Bhargava was warned long ago never to think about math while driving. "I find doing mathematical research requires very deep concentration," said Bhargava, the Brandon Fradd, Class of 1983, ...