Wiles proved that certain kinds of elliptic curves are modular — meaning that there is a particular modular form that corresponds to each curve ... real numbers, so it’s known as a real quadratic ...

Elliptic curves are among the more beguiling objects in modern mathematics. They don’t seem complicated, but they form an expressway between the math that many people learn in high school and research ...

When computing the formula for the elliptic curve (y 2 = x 3 + ax + b), we use the same trick of rolling over numbers when we hit ... this can be avoided in the real world. An elliptic curve ...

Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems ... to be of great use in asymmetric cryptography since exponentiation over a prime field ...

Project Eleven, a quantum computing research firm, has launched the Q-Day Prize, offering 1 Bitcoin (BTC) to the first individual or team that can break an elliptic curve cryptographic (ECC ...