Emerging Applications of Algebraic Geometry

  • Mihai Putinar
  • Seth Sullivant

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 149)

Table of contents

  1. Front Matter
    Pages i-xi
  2. John P. D’Angelo, Mihai Putinar
    Pages 1-15
  3. Mauricio C. De Oliveira, J. William Helton, Scott A. Mccullough, Mihai Putinar
    Pages 17-61
  4. Adrian Dobra, Stephen E. Fienberg, Alessandro Rinaldo, Aleksandra Slavkovic, Yi Zhou
    Pages 63-88
  5. Abdul S. Jarrah, Reinhard Laubenbacher
    Pages 109-123
  6. Jean Bernard Lasserre, Monique Laurent, Philipp Rostalskl
    Pages 125-155
  7. Bernd Sturmfels
    Pages 351-363
  8. Back Matter
    Pages 365-376

About this book


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

The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.


Algebraic Applications Geometry Putinar algebra optimization

Editors and affiliations

  • Mihai Putinar
    • 1
  • Seth Sullivant
    • 2
  1. 1.College of Letters & Science, Dept. MathematicsUniversity of California, Santa BarbaraSanta BarbaraUSA
  2. 2.CambridgeU.S.A.

Bibliographic information