Digital images now carry some of the most sensitive information in modern life, from medical scans and satellite imagery to ...

The most complicated result to date in the field of number theory looks deceptively simple: it’s essentially a curve and a line. For decades, mathematicians have been chasing elliptic curves with ...

From quadratic equations to the Pythagorean theorem, many areas of arithmetic and geometry are accessible to middle school students, thanks in large part to the mathematicians who discovered them ...

A public key cryptography method that provides fast decryption and digital signature processing. Elliptic curve cryptography (ECC) uses points on an elliptic curve to derive a 163-bit public key that ...

A UC San Diego-led team forged RSA signatures without extracting its key. But Bitcoin and Ethereum sign with a different ...

We all know the usual jokes about the ‘S’ in ‘IoT’ standing for ‘Security’. It’s hardly a secret that security in embedded, networked devices (‘IoT devices’) is all too often a last-minute task that ...

Alexander Smith’s work on the Goldfeld conjecture reveals fundamental characteristics of elliptic curves. Elliptic curves seem to admit infinite variety, but they really only come in two flavors. That ...

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, ...

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 ...

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 ...