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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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Contents of Volume 58, Number 2
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An appreciation of Jean Bourgain’s work
Peter Sarnak;
Bull. Amer. Math. Soc. 58 (2021), 151-153
DOI: https://doi.org/10.1090/bull/1732
Published electronically: February 12, 2021
Exploring the toolkit of Jean Bourgain
Terence Tao;
Bull. Amer. Math. Soc. 58 (2021), 155-171
DOI: https://doi.org/10.1090/bull/1716
Published electronically: January 27, 2021
On the work of Jean Bourgain in nonlinear dispersive equations
Carlos E. Kenig;
Bull. Amer. Math. Soc. 58 (2021), 173-189
DOI: https://doi.org/10.1090/bull/1718
Published electronically: November 12, 2020
Bourgain’s work in Fourier restriction
Ciprian Demeter;
Bull. Amer. Math. Soc. 58 (2021), 191-204
DOI: https://doi.org/10.1090/bull/1717
Published electronically: January 27, 2021
The legacy of Jean Bourgain in geometric functional analysis
Keith Ball;
Bull. Amer. Math. Soc. 58 (2021), 205-223
DOI: https://doi.org/10.1090/bull/1719
Published electronically: December 2, 2020
The uncertainty principle: Variations on a theme
Avi Wigderson and Yuval Wigderson;
Bull. Amer. Math. Soc. 58 (2021), 225-261
DOI: https://doi.org/10.1090/bull/1715
Published electronically: January 4, 2021

Mathematical Perspectives


Selections Reprinted from Mathematical Reviews
Review information
Bull. Amer. Math. Soc. 58 (2021), 263-276
DOI: https://doi.org/10.1090/bull/1737
Published electronically: February 24, 2021

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Alice and Bob meet Banach: The interface of asymptotic geometric analysis and quantum information theory, by Guillaume Aubrun and Stanisław Szarek.
Reviewer: Michael Brannan
Review information PDF
Bull. Amer. Math. Soc. 58 (2021), 277-281
Introduction to approximate groups, by Matthew C. H. Tointon.
Reviewer: Michael Björklund
Review information PDF
Bull. Amer. Math. Soc. 58 (2021), 283-288
Nonlinear Dirac equations: Spectral stability of solitary waves, by N. Boussaïd and A. Comech.
Reviewer: Dmitry E. Pelinovsky
Review information PDF
Bull. Amer. Math. Soc. 58 (2021), 289-294
Nilpotent structures in ergodic theory, by Bernard Host and Bryna Kra.
Reviewer: Nikos Frantzikinakis
Review information PDF
Bull. Amer. Math. Soc. 58 (2021), 295-303
Algebraic statistics, by Seth Sullivant.
Reviewer: Thomas Kahle
Review information PDF
Bull. Amer. Math. Soc. 58 (2021), 305-309