Zeros, multiplicities, and idempotents for zero-dimensional systems -- On a conjecture of C. Berenstein and A. Yger -- Computation of the splitting fields and the Galois groups of polynomials -- How to compute the canonical module of a set of points -- Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula -- Some effective methods in pseudo-linear algebra -- Gröbner basis and characteristically nilpotent filiform Lie algebras of dimension 10 -- Computing multidimensional residues -- The arithmetic of hyperelliptic curves -- Viro's method and T-curves -- A computational method for diophantine approximation -- An effective method to classify nilpotent orbits -- Some algebraic geometry problems arising in the field of mechanism theory -- Enumeration problems in geometry, robotics and vision -- Mixed monomial bases -- The complexity and enumerative geometry of aspect graphs of smooth surfaces -- Aspect graphs of bodies of revolution with algorithms of real algebraic geometry -- Computational conformal geometry -- An algorithm and bounds for the real effective Nullstellensatz in one variable -- Solving zero-dimensional involutive systems.