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Full Description
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.
Contents
Articles
Bernd Sturmfels, Adventures in mentoring
Gregor Kemper, Invariant theory: A third lease of life
Aldo Conca, A universal tale of determinants and Grobner bases
Serkan Hosten, An early history of toric ideals
Jesus A. De Loera, The nonlinear algebra view of discrete mathematics
Nobuki Takayama, Hypergeometric systems, statistics, and algorithms
Seth Sullivant, Bernd's contributions to algebraic statistics
Carlos Amendola and Jose Israel Rodriguez, A primer in likelihood geometry
Michael Joswig, Developments in tropical convexity
Elisenda Feliu and Anne Shiu, From chemical reaction networks to algebraic and polyhedral geometry-and back again
Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin and Frank Sottile, Numerical nonlinear algebra
Grigoriy Blekherman, Sums of squares, spectrahedra, and Bernd
Kristian Ranestad, Algebraic degree in nonlinear models
Mateusz Michalek, Tensors: From complex problems to real applications
Joe Kileel and Kathlen Kohn, Snapshot of algebraic vision
