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Moduli Spaces of Riemann Surfaces
Edited by: Benson Farb, University of Chicago, IL, Richard Hain, Duke University, Durham, NC, and Eduard Looijenga, Universiteit Utrecht, Netherlands, and Tsinghua University, Beijing, China
A co-publication of the AMS and IAS/Park City Mathematics Institute.

IAS/Park City Mathematics Series
2013; 356 pp; hardcover
Volume: 20
ISBN-10: 0-8218-9887-6
ISBN-13: 978-0-8218-9887-1
List Price: US$75
Member Price: US$60
Order Code: PCMS/20
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See also:

Analytic and Algebraic Geometry: Common Problems, Different Methods - Jeffery McNeal and Mircea Mustata

Riemann Surfaces by Way of Complex Analytic Geometry - Dror Varolin

Quasiconformal Teichmüller Theory - Frederick P Gardiner and Nikola Lakic

Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups.

The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.


Graduate students and research mathematicians interested in Moduli Spaces of Riemann surfaces.

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