In the Tradition of Thurston IV

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In the Tradition of Thurston IV

Ken’ichi Ohshika | Athanase Papadopoulos

Mathematics / Topology

This is the fourth volume of the series In the tradition of Thurston whose aim is to provide accessible accounts on the work of William P. Thurston (1946-2012), a work which had a profound influence on the geometry and topology of low-dimensional manifolds, dynamics and the theory of Riemann surfaces.
Like its companion volumes of the same series, this volume consists of surveys on topics that have been significantly influenced by Thurston’s works and ideas. The topics covered here include surface mapping class groups and their actions on various spaces, the Milnor–Wood inequality, the geometry of the three-dimensional Lie group SOL, Thurston’s norm on the second homology group of an oriented 3-manifold, geometry and dynamics on spaces of laminations, arithmetical properties of pseudo-Anosov dilatations, holomorphic dynamics, translation surfaces, uniformization, circle packing, spaces of surfaces of constant curvature with conical singularities and the dynamics of character varieties of surface groups. Some of the chapters stress on the foundational aspects whereas others are concerned with more specialized topics. In most of the chapters, open problems are discussed. The 28 authors of the 18 chapters that make up this book are among the leading experts in the subjects treated.
This volume, like the preceding ones in the collection, is addressed at the same time to graduate students and confirmed researchers. The series is intended to serve as an authoritative source on the topics covered.

Ken’ichi Ohshika is a professor of mathematics at Gakushuin University, and a professor emeritus at Osaka University. He received his PhD from the University of Tokyo in 1989, and worked at Tokyo Institute of Technology, University of Tokyo, and Osaka University before joining Gakushuin University. His interests include Kleinian groups, hyperbolic geometry, Teichmüller theory, and 3-manifolds. He has held visiting positions at Institut des Hautes Études Scientifiques (1990-1991, 1999-2000), University of Warwick (1988-89, 1993, 2007), Université de Montréal (1995), Hausdorff Research Institute of Mathematics (2010), Université de Strasbourg (2014, 2019), the Korea Institute of Advanced Science (2009-2015), and Max-Planck Institute of Mathematics (2026).  He is a recipient of the MSJ geometry prize (2012), and the author of more than 70 papers.

Athanase Papadopoulos is Directeur de Recherche at the French Centre National de la Recherche Scientifique. His fields of interest include geometry and topology, the history and philosophy of mathematics, and mathematics and music. He has held visiting positions at the Institute for Advanced Study, Princeton (1984–1985 and 1993–1894), USC (1998–1999), CUNY (Ada Peluso Professor, 2014), Brown University (Distinguished visiting professor, 2017), Tsinghua University, Beijing (2018), and the State University of Saint Petersburg (as the Lamé Chair) (2019), and has had several long visits to the Max-Plank Institute for mathematics (Bonn), the Erwin Schrödinger Institute (Vienna), the Graduate Center of CUNY (New York), the Tata Institute (Bombay), Galatasaray University (Istanbul), the University of Florence (Italy), Fudan University (Shanghai), Gakushuin University (Tokyo), Presidency University (Calcutta), Banaras Hindu University and the Chebyshev laboratory (Saint Petersburg). He is the author of more than 220 published articles and 50 monographs and edited books.


Publication Date: 11 December 2026
Publisher: Springer Nature Switzerland
Imprint: Springer
ISBN-13: 9783032332301
Format: Hardback

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