Convex algebraic geometry is an important and applicable research area featuring contributions from convex and algebraic geometry, semidefinite programming, and optimization. This self-contained introduction to the topic is suitable for readers at the graduate level and can be used for a class or seminar. Researchers will find open problems.

About the Authors

Grigoriy Blekherman is an assistant professor at Georgia Institute of Technology and a 2012 recipient of the Sloan Research Fellowship. His research interests lie at the intersection of convex and algebraic geometry.

Pablo A. Parrilo is a Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology. He has received the SIAG/CST Prize and the IEEE Antonio Ruberti Young Researcher Prize. His research interests include mathematical optimization, systems and control theory, and computational methods for engineering applications.

Rekha R. Thomas is a Professor of Mathematics at the University of Washington. Her research interests are in optimization and computational algebra.

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