What's Next?
eBook - PDF

What's Next?

The Mathematical Legacy of William P. Thurston

  1. 472 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

What's Next?

The Mathematical Legacy of William P. Thurston

About this book

William Thurston (1946–2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of areas of mathematics, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. In What's Next?, many of today's leading mathematicians describe recent advances and future directions inspired by Thurston's transformative ideas.

This book brings together papers delivered by his colleagues and former students at "What's Next? The Mathematical Legacy of Bill Thurston," a conference held in June 2014 at Cornell University. It discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. Incisive and wide-ranging, the book explores how he introduced new ways of thinking about and doing mathematics—innovations that have had a profound and lasting impact on the mathematical community as a whole—and also features two papers based on Thurston's unfinished work in dynamics.

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Yes, you can access What's Next? by Dylan Thurston in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Contents
  3. Preface
  4. Certifying the Thurston Norm via SL(2,C)-twisted Homology
  5. The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm
  6. Profinite Rigidity, Fibering, and the Figure-Eight Knot
  7. Coxeter Groups and Random Groups
  8. Cries and Whispers in Wind-Tree Forests
  9. Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups
  10. Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems
  11. Right-Angled Hexagon Tilings of the Hyperbolic Plane
  12. On Balanced Planar Graphs, Following W. Thurston
  13. Construction of Subsurfaces via Good Pants
  14. Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces
  15. Degree-d-invariant Laminations
  16. An Invitation to Coherent Groups
  17. A Decade of Thurston Stories
  18. List of Contributors