(..) Current encryption technology is based on mathematics developed in the 17th and 18th centuries, elliptic curve cryptography brings it forward into the mathematics of the 19th century (...)

Whitfield Diffie, the inventor of public key cryptography, and now chief security officer at Sun Microsystems, during RSA Conference, Paris, October 2002.

For the 20-th and 21-st centuries, we propose Multivariate Cryptography, that is based on Algebraic Geometry.