Si E₁ et E₂ sont deux courbes elliptiques sur un corps k, nous avons une application naturelle CH¹(E₁)₀ ⊗ CH¹(E₂)₀ → CH²(E₁ × E₂). Quand k est un corps de nombres, une conjecture due à Bloch et ...
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 ...
Four researchers have recently come out with a model that upends the conventional wisdom in their field. They have used intensive computational data to suggest that for decades, if not longer, ...
At a prime of ordinary reduction, the Iwasawa "main conjecture" for elliptic curves relates a Selmer group to a p-adic L-function. In the supersingular case, the statement of the main conjecture is ...
The mathematicians who toiled on the famous enigma also devised powerful forms of end-to-end encryption. By William J. Broad Defenses against digital snoopers keep getting stronger. Encryption is what ...
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 ...