Elliptic curves are polynomial equations that are at the optimal level of hardness for mathematical inquiry. There is a tidy (and widely taught) formula for finding solutions to quadratic polynomials ...

By extending the scope of a key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward ...

Naoris Protocol, the post-quantum infrastructure pioneer, today announced a $120,000 (1BTC at time of announcement) bounty ...

We show that if E is an elliptic curve over Q with a Q-rational isogeny of degree 7, then the image of the 7-adic Galois representation attached to E is as large as allowed by the isogeny, except for ...

Elliptic curves may sound esoteric, but they are part of our day-to-day lives. They are used in cryptography -- the creation of codes that are difficult to break.

JULIÁN AGUIRRE, ANDREJ DUJELLA, JUAN CARLOS PERAL, ON THE RANK OF ELLIPTIC CURVES COMING FROM RATIONAL DIOPHANTINE TRIPLES, The Rocky Mountain Journal of Mathematics, Vol. 42, No. 6 (2012), pp.

Post-quantum cryptography is rapidly evolving to counter threats posed by quantum computing, and elliptic curves combined with isogeny methodologies offer a promising avenue. This approach ...

Naoris Protocol, the post-quantum infrastructure pioneer, today announced a $120,000 (one BTC at time of announcement) bounty ...