The conjecture of Birch and Swinnerton-Dyer famously relates rational points on elliptic curves to special values of their associated L-functions (certain Dirichlet series formed out of point counting ...

Arithmetic geometry of elliptic curves combines algebraic geometry and number theory to investigate cubic curves of genus one endowed with a distinguished rational point. Such curves admit a group law ...

9801642 Iwaniec This award supports a joint project by W. Duke and H. Iwaniec. Some of the most important problems in number theory concern families of L-functions associated to automorphic forms and ...

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 ...

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 ...

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 ...

The most complicated result to date in the field of number theory looks deceptively simple: it’s essentially a curve and a line. More technically speaking, it’s an elliptic curve with a rank of at ...

Elliptical curve cryptography (ECC) is a public key encryption technique based on elliptic curve theory that can be used to create faster, smaller and more efficient cryptographic keys. ECC is an ...

When it comes to public key cryptography, most systems today are still stuck in the 1970s. On December 14, 1977, two events occurred that would change the world: Paramount Pictures released Saturday ...