From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization. The

The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when study

This volume is based on lectures delivered at the 2019 AMS Short Course “Sum of Squares: Theory and Applications”, held January 14–15, 2019, in Baltimore,

An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of resea