Table of Contents

Polynomial Optimization on Odd-Dimensional Spheres.- Engineering Systems and Free Semi-Algebraic Geometry.- Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation.- Using Invariants for Phylogenetic Tree Construction.- On the Algebraic Geometry of Polynomial Dynamical Systems.- A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals.- Sums of Squares, Moment Matrices and Optimization Over Polynomials.- Positivity and Sums of Squares: A Guide to Recent Results.- Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas.- Open Problems in Algebraic Statistics.