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. 58 (2021), 263-276PDF
Published electronically: February 24, 2021

Weakly compact sets—their topological properties and the Banach spaces they generate by Lindenstrauss, Joram
no. No. 69, 1972, 235–273 pp.
MR Number: 0417761 (54 #5809)
Ann. of Math. Studies,
Reviewed by: J. Diestel

Sequences and series in Banach spaces by Diestel, Joseph
no. 92, 1984, xii+261, ISBN 0-387-90859-5, $38.00
MR Number: 0737004 (85i:46020)
Graduate Texts in Mathematics, Springer-Verlag, New York,
Reviewed by: J. Bourgain

Sharp thresholds of graph properties, and the $k$-sat problem by Friedgut, Ehud
Journal of the American Mathematical Society 12, (1999), no. 4, 1017–1054
MR Number: 1678031 (2000a:05183)
Reviewed by: Mark R. Jerrum

A sharp bilinear cone restriction estimate by Wolff, Thomas
Annals of Mathematics. Second Series 153, (2001), no. 3, 661–698
MR Number: 1836285 (2002j:42019)
Reviewed by: Andreas Seeger

A sum-product estimate in finite fields, and applications by Bourgain, J., Katz, N. and Tao, T.
Geometric and Functional Analysis 14, (2004), no. 1, 27–57
MR Number: 2053599 (2005d:11028)
Reviewed by: Ben Joseph Green

Uniform expansion bounds for Cayley graphs of $\textrm {SL}_2(\Bbb F_p)$ by Bourgain, Jean and Gamburd, Alex
Annals of Mathematics. Second Series 167, (2008), no. 2, 625–642
MR Number: 2415383 (2010b:20070)
Reviewed by: Ben Joseph Green

Generalization of Selberg’s $\frac {3}{16}$ theorem and affine sieve by Bourgain, Jean, Gamburd, Alex and Sarnak, Peter
Acta Mathematica 207, (2011), no. 2, 255–290
MR Number: 2892611
Reviewed by: Ben Joseph Green

The proof of the $l^2$ decoupling conjecture by Bourgain, Jean and Demeter, Ciprian
Annals of Mathematics. Second Series 182, (2015), no. 1, 351–389
MR Number: 3374964
Reviewed by: G. V. Rozenblum

Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three by Bourgain, Jean, Demeter, Ciprian and Guth, Larry
Annals of Mathematics. Second Series 184, (2016), no. 2, 633–682
MR Number: 3548534
Reviewed by: Ben Joseph Green

Fourier dimension and spectral gaps for hyperbolic surfaces by Bourgain, Jean and Dyatlov, Semyon
Geometric and Functional Analysis 27, (2017), no. 4, 744–771
MR Number: 3678500
Reviewed by: Shu Shen

Journal: Bull. Amer. Math. Soc. 58 (2021), 263-276
Article copyright: © Copyright 2021 American Mathematical Society