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AMERICAN MATHEMATICAL SOCIETY Save 50% to 75% on hundreds of titles! Algebra and Algebraic Geometry Notes on Dynamical Systems A Mathematical Gift, III Spectral Theory and Mathematical Jürgen Moser, and Eduard J. Zehnder, The interplay between topology, Physics: A Festschrift in Honor of College Algebra ETH-Zurich, Switzerland functions, geometry, and algebra Barry Simon’s 60th Birthday Henry Burchard Fine Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New Koji Shiga, Yokohama, Japan, and Fritz Gesztesy, Managing Editor, AMS Chelsea Publishing, Volume 354; 1961; Toshikazu Sunada, Tohoku University, University of Missouri, Columbia, MO, 631 pp.; hardcover; ISBN: 978-0-8218-3863-1; York University. List US$72; Sale Price US$25.20; Order code: Courant Lecture Notes, Volume 12; 2005; 256 Sendai, Japan Percy Deift, New York University, CHEL/354.H pp.; softcover; ISBN: 978-0-8218-3577-7; List US$36; Mathematical World, Volume 23; 2005; 129 pp.; Courant Institute, NY, Cherie Galvez, Sale Price US$18.00; Order code: CLN/12 softcover; ISBN: 978-0-8218-3284-4; List US$30; California Institute of Technology, Sale Price US$15.00; Order code: MAWRLD/23 Selected Works of Phillip A. Pasadena, CA, Peter Perry, University of Griffiths with Commentary Spectral Problems Associated with Kentucky, Lexington, KY, and Wilhelm Corner Singularities of Solutions Geometry and Topology Schlag, University of Chicago, IL, Editors Enrico Arbarello, Robert L. Bryant, C. Proceedings of Symposia in Pure to Elliptic Equations Mathematics, Volume 76; Set: 2007; 960 pp.; Herbert Clemens, Maurizio Cornalba, Global Calculus Mark L. Green, Joe Harris, David R. -
Families of Riemann Surfaces and Weil-Petersson Geometry
Conference Board of the Mathematical Sciences CBMS Regional Conference Series in Mathematics Number 113 Families of Riemann Surfaces and Weil-Petersson Geometry Scott A. Wolpert American Mathematical Society with support from the National Science Foundation cbms-113-wolpert-cov.indd 1 4/29/10 9:54 AM Families of Riemann Surfaces and Weil-Petersson Geometry http://dx.doi.org/10.1090/cbms/113 Conference Board of the Mathematical Sciences CBMS Regional Conference Series in Mathematics Number 113 Families of Riemann Surfaces and Weil-Petersson Geometry Scott A. Wolpert Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society Providence, Rhode Island with support from the National Science Foundation NSF-CBMS Regional Research Conferences in the Mathematical Sciences on Families of Riemann Surfaces and Weil-Petersson Geometry held at Central Connecticut State University, New Britain, CT July 20–24, 2009 Partially supported by the National Science Foundation. The author acknowledges support from the Conference Board of the Mathematical Sciences and NSF Grant DMS 0834134. 2000 Mathematics Subject Classification. Primary 20F67, 30F60, 32G15, 37F30; Secondary 11F41, 14H15, 32Q05, 32Q45. For additional information and updates on this book, visit www.ams.org/bookpages/cbms-113 Library of Congress Cataloging-in-Publication Data Wolpert, Scott A. Families of Riemann surfaces and Weil-Petersson geometry / Scott A. Wolpert. p. cm. – (CBMS regional conference series in mathematics ; no. 113) Includes bibliographical references and index. ISBN 978-0-8218-4986-6 (alk. paper) 1. Riemann surfaces. 2. Teichm¨uller spaces. 3. Hyperbolic groups. 4. Ergodic theory. 5. Geometry, Riemannian. I. Title. QA337.W65 2010 515.93–dc22 2010011413 Copying and reprinting. -
Professor, Mathematics Department, Ohio State University, Colum- Bus, OH 43210 Visiting Research Professor, University of Utah, Salt Lake City, UT 84112
VITA AND BIBLIOGRAPHY C. HERBERT CLEMENS Position: Professor, Mathematics Department, Ohio State University, Colum- bus, OH 43210 Visiting Research Professor, University of Utah, Salt Lake City, UT 84112 Birthdate: August 15, 1939 Birthplace: Dayton, Ohio Academic Degrees: A.B. 1961 Holy Cross College M.A. 1964 University of California, Berkeley Ph.D. 1966 University of California, Berkeley (Advisor: Phillip A. Griffiths) Research Area: Complex Geometry Professional Experience: Research and University Teaching: 1966 Peace Corps training for Peru and Chile 1966-68 Profesor Regular de Matematicas, Universidad T´ecnicadel Estado, San- tiago de Chile 1968-70 Member, School of Mathematics, Institute for Advanced Study, Prince- ton 1969 (summer) Visiting Assistant Professor, University of California, Berkeley 1970 Senior Fulbright Lecturer (Chile) 1970-72 Assistant Professor, Columbia University 1972-73 Profesor UTE, Santiago, Chile, Project Coordinator, Ford Foundation grant to UTE mathematics program 1973 (winter) Visiting Assistant Professor, Harvard University 1973-75 Associate Professor, Columbia University (tenure 1975) 1975-76 Associate Professor, University of Utah 1976-2002 Professor, University of Utah (tenure 1976) 1997-98 Visiting Professor, Scuola Normale Superiore, Pisa, Italy 2001-02 Director's Visitor, Institute for Advanced Study, Princeton 2002-19 Professor, Ohio State University 2013-17 Visiting Research Professor, University of Utah 2019-present Professor Emeritus, Ohio State University Primary and Secondary Teaching: l979-84 -
Of the American Mathematical Society
ISSN 0002-9920 Notices of the American Mathematical Society of the American Mathematical Society October 2010 Volume 57, Number 9 Topological Methods What if Newton saw an apple as just an apple? for Nonlinear Oscillations page 1080 Tilings, Scaling Functions, and a Markov Process page 1094 Reminiscences of Grothendieck and His School page 1106 Speaking with the Would we have his laws of gravity? That’s the power Natives: Refl ections of seeing things in different ways. When it comes to on Mathematical TI technology, look beyond graphing calculators. Communication ™ ® Think TI-Nspire Computer Software for PC or Mac . page 1121 » Software that’s easy to use. Explore higher order mathematics and dynamically connected represen- Volume 57, Number 9, Pages 1073–1240, October 2010 New Orleans Meeting tations on a highly intuitive, full-color user interface. page 1192 » Software that’s easy to keep updated. Download the Mac is a registered trademark of Apple, Inc. latest enhancements from TI’s Web site for free. » Software you can learn to use quickly. Get familiar with the basics in under an hour. No programming required. Take a closer look at TI-Nspire software and get started for free. Visit education.ti.com/us/learnandearn About the Cover: New Orleans Vieux Carré ©2010 Texas Instruments AD10100 (see page 1151) Trim: 8.25" x 10.75" 168 pages on 40 lb Velocity • Spine: 3/16" • Print Cover on 9pt Carolina ,!4%8 ,!4%8 ,!4%8 &DOO IRU DSSOLFDWLRQV $FDGHPLF \HDU 7KH )RXQGDWLRQ 6FLHQFHV 0DWKpPDWLTXHV GH 3DULV LV SOHDVHG WR RIIHU WKH IRO ORZLQJ RSSRUWXQLWLHV