The Birch and Swinnerton-Dyer conjecture (BSD) is one of the Millennium problems of the Clay Mathematics Institute.
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Franklin is particularly known for the Boneh–Franklin scheme, a cryptography scheme he developed with Dan Boneh that uses the mathematics of elliptic curves to automatically generate public and private key pairs based on the identities of the communicating parties.
In mathematics, a Néron differential, named after André Néron, is an almost canonical choice of 1-form on an elliptic curve or abelian variety defined over a local field or global field.
Elliptic Curve Primality Proving (ECPP) is a method based on elliptic curves to prove the primality of a number (see Elliptic curve primality testing).
Then Tetsuji Shioda showed that the elliptic modular surface of level 4 (the universal generalized elliptic curve E(4) → X(4)) in characteristic 3 mod 4 is a K3 surface with Picard number 22, as is the Kummer surface of the product of two supersingular elliptic curves in odd characteristic.
Victor S. Miller (born 1947), independent co-creator of elliptic curve cryptography