8. ANTS 2008:
Elliptic Curves Cryptology and Generalizations
Arithmetic of Elliptic Curves
J. E. Cremona
: Computing in Component Groups of Elliptic Curves.
: Some Improvements to 4-Descent on an Elliptic Curve.
: Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields.
Noam D. Elkies
: Shimura Curve Computations Via K3 Surfaces of Néron-Severi Rank at Least 19.
: An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields.
: Enumeration of Totally Real Number Fields of Bounded Root Discriminant.
Arithmetic of Function Fields
: An Improved Multi-set Algorithm for the Dense Subset Sum Problem.
: Non-vanishing of Dirichlet L-functions at the Central Point.