Proceedings of Symposia in Pure Mathematics- Combinatorial, Computational, and Applied Algebraic Geometry

Engage with a collection of surveys that traverse rich mathematical landscapes from invariant theory, Grobner bases, and toric ideals to discrete and convex optimization, hypergeometric systems, algebraic statistics, and tropical geometry. Each article offers an inviting introduction and modern overview of key topics. This volume consists of surveys on topics to which Bernd Sturmfels has contributed over his mathematical career: invariant theory, Grobner bases, toric ideals and varieties, algebraic methods in discrete and convex optimization, hypergeometric systems, algebraic statistics, likelihood geometry, tropical geometry, chemical reaction networks, numerical methods in algebraic geometry, sums of squares, tropical geometry, tensors, and algebraic vision. Each article gives a gentle introduction to the topic. Many contributions summarize the state of the art in each subject. The volume is perfect for anyone who wishes an entry point to any one of these diverse topics.