Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Mathematical Perspectives
Selections Reprinted from Mathematical Reviews

Review information
Bull. Amer. Math. Soc. 57 (2020), 483-507PDF
Published electronically: April 20, 2020

On the symplectic geometry of deformations of a hyperbolic surface by Scott Wolpert
Annals of Mathematics. Second Series 117, (1983), no. 2, 207–234
MR Number: 0690844 (85e:32028)
Reviewed by: William Harvey

Thurston’s hyperbolization of Haken manifolds by Jean-Pierre Otal
1998, 77–194 pp.
MR Number: 1677888 (2000b:57025)
Reviewed by: Lee Mosher

On the geometric and topological rigidity of hyperbolic $3$-manifolds by David Gabai
Journal of the American Mathematical Society 10, (1997), no. 1, 37–74
MR Number: 1354958 (97h:57028)
Reviewed by: G. Peter Scott

Complex earthquakes and Teichmüller theory by Curtis T. McMullen
Journal of the American Mathematical Society 11, (1998), no. 2, 283–320
MR Number: 1478844 (98i:32030)
Reviewed by: Darryl McCullough

Quasiconformal Teichmüller theory by Frederick P. Gardiner and Nikola Lakic
2000, xx+372 pp., ISBN 0-8218-1983-6, $89.00
MR Number: 1730906 (2001d:32016)
Mathematical Surveys and Monographs, 76, American Mathematical Society, Providence, RI,
Reviewed by: William Abikoff

Moduli spaces of abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants by Alex Eskin, Howard Masur and Anton Zorich
Publications Mathématiques. Institut de Hautes Études Scientifiques, (2003), no. 97, 61–179
MR Number: 2010740 (2005b:32029)
Reviewed by: Serge L. Tabachnikov

Connected components of the moduli spaces of Abelian differentials with prescribed singularities by Maxim Kontsevich and Anton Zorich
Inventiones Mathematicae 153, (2003), no. 3, 631–678
MR Number: 2000471 (2005b:32030)
Reviewed by: Serge L. Tabachnikov

Canonical metrics on the moduli space of Riemann surfaces. I by Kefeng Liu, Xiaofeng Sun and Shing-Tung Yau
Journal of Differential Geometry 68, (2004), no. 3, 571–637
MR Number: 2144543 (2007g:32009)
Reviewed by: Julien Keller

Moduli spaces of local systems and higher Teichmüller theory by Vladimir Fock and Alexander Goncharov
Publications Mathématiques. Institut de Hautes Études Scientifiques, (2006), no. 103, 1–211
MR Number: 2233852 (2009k:32011)
Reviewed by: William Goldman

Isolation, equidistribution, and orbit closures for the $\textrm {SL}(2,\Bbb R)$ action on moduli space by Alex Eskin, Maryam Mirzakhani and Amir Mohammadi
Annals of Mathematics. Second Series 182, (2015), no. 2, 673–721
MR Number: 3418528
Reviewed by: Boris Hasselblatt

Sperner’s colorings and optimal partitioning of the simplex by Maryam Mirzakhani and Jan Vondrák
2017, 615–631 pp.
MR Number: 3726616
Reviewed by: Eoin Long

Invariant and stationary measures for the $\textrm {SL}(2,\Bbb R)$ action on moduli space by Alex Eskin and Maryam Mirzakhani
Publications Mathématiques. Institut de Hautes Études Scientifiques 127, (2018), 95–324
MR Number: 3814652
Reviewed by: Thomas Ward

Journal: Bull. Amer. Math. Soc. 57 (2020), 483-507
Article copyright: © Copyright 2020 American Mathematical Society