Wolpert, Scott A.
Overview
Works:  5 works in 26 publications in 1 language and 410 library holdings 

Roles:  Author, Editor 
Publication Timeline
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Most widely held works by
Scott A Wolpert
Families of Riemann surfaces and WeilPetersson geometry by
Scott A Wolpert(
Book
)
11 editions published in 2010 in English and held by 216 WorldCat member libraries worldwide
"This book is the companion to the CBMS lectures of Scott Wolpert at Central Connecticut State University. The lectures span across areas of research progress on deformations of hyperbolic surfaces and the geometry of the WeilPetersson metric. The book provides a generally selfcontained course for graduate students and postgraduates. The exposition also offers an update for researchers; material not otherwise found in a single reference is included. A unified approach is provided for an array of results. The exposition covers Wolpert's work on twists, geodesiclengths and the WeilPetersson symplectic structure; Wolpert's expansions for the metric, its LeviCivita connection and Riemann tensor. The exposition also covers Brock's twisting limits, visual sphere result and pants graph quasi isometry, as well as the BrockMasurMinsky construction of ending laminations for WeilPetersson geodesics. The rigidity results of MasurWolf and DaskalopoulosWentworth, following the approach of Yamada, are included. The book concludes with a generally selfcontained treatment of the McShaneMirzakhani length identity, Mirzakhani's volume recursion, approach to WittenKontsevich theory by hyperbolic geometry, and prime simple geodesic theorem. Lectures begin with a summary of the geometry of hyperbolic surfaces and approaches to the deformation theory of hyperbolic surfaces. General expositions are included on the geometry and topology of the moduli space of Riemann surfaces, the $CAT(0)$ geometry of the augmented Teichmüller space, measured geodesic and ending laminations, the deformation theory of the prescribed curvature equation, and the Hermitian description of Riemann tensor. New material is included on estimating orbit sums as an approach for the potential theory of surfaces."Publisher's description
11 editions published in 2010 in English and held by 216 WorldCat member libraries worldwide
"This book is the companion to the CBMS lectures of Scott Wolpert at Central Connecticut State University. The lectures span across areas of research progress on deformations of hyperbolic surfaces and the geometry of the WeilPetersson metric. The book provides a generally selfcontained course for graduate students and postgraduates. The exposition also offers an update for researchers; material not otherwise found in a single reference is included. A unified approach is provided for an array of results. The exposition covers Wolpert's work on twists, geodesiclengths and the WeilPetersson symplectic structure; Wolpert's expansions for the metric, its LeviCivita connection and Riemann tensor. The exposition also covers Brock's twisting limits, visual sphere result and pants graph quasi isometry, as well as the BrockMasurMinsky construction of ending laminations for WeilPetersson geodesics. The rigidity results of MasurWolf and DaskalopoulosWentworth, following the approach of Yamada, are included. The book concludes with a generally selfcontained treatment of the McShaneMirzakhani length identity, Mirzakhani's volume recursion, approach to WittenKontsevich theory by hyperbolic geometry, and prime simple geodesic theorem. Lectures begin with a summary of the geometry of hyperbolic surfaces and approaches to the deformation theory of hyperbolic surfaces. General expositions are included on the geometry and topology of the moduli space of Riemann surfaces, the $CAT(0)$ geometry of the augmented Teichmüller space, measured geodesic and ending laminations, the deformation theory of the prescribed curvature equation, and the Hermitian description of Riemann tensor. New material is included on estimating orbit sums as an approach for the potential theory of surfaces."Publisher's description
Geometry of Riemann surfaces and their moduli spaces(
Book
)
8 editions published in 2009 in English and held by 114 WorldCat member libraries worldwide
8 editions published in 2009 in English and held by 114 WorldCat member libraries worldwide
Surveys in differential geometry : geometry of riemann surfaces and their moduli spaces(
Book
)
5 editions published in 2009 in English and held by 39 WorldCat member libraries worldwide
5 editions published in 2009 in English and held by 39 WorldCat member libraries worldwide
The WeilPetersson metric for Teichmueller space and the JenkinsStrebel differentials by
Scott A Wolpert(
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Asymototics of the Selberg zeta function for degenerating Riemann surfaces by
Scott A Wolpert(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
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Related Identities
 Yau, ShingTung 1949 Editor
 Ji, Lizhen 1964 Dedicatee Editor
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Alternative Names
Scott A. Wolpert Amerikaans wiskundige
Scott Wolpert matemático estadounidense
Scott Wolpert mathématicien américain
Scott Wolpert USamerikanischer Mathematiker
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