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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 55, Number 1
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View front and back matter from the print issue

Black hole formation and stability: A mathematical investigation
Lydia Bieri PDF
Bull. Amer. Math. Soc. 55 (2018), 1-30
Statistical proof? The problem of irreproducibility
Susan Holmes PDF
Bull. Amer. Math. Soc. 55 (2018), 31-55
Hodge theory in combinatorics
Matthew Baker PDF
Bull. Amer. Math. Soc. 55 (2018), 57-80
Tao’s resolution of the Erdős discrepancy problem
K. Soundararajan PDF
Bull. Amer. Math. Soc. 55 (2018), 81-92

Mathematical Perspectives


About the cover: Are “old” mathematics books “collectible”?
Gerald L. Alexanderson and Leonard F. Klosinski PDF
Bull. Amer. Math. Soc. 55 (2018), 93-96
Selections Reprinted from Mathematical Reviews
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 97-102

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

Polynomial methods in combinatorics, by Larry Guth.
Reviewer: Terence Tao
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 103-107
Geometric modeling in probability and statistics, by O. Calin and C. Udriste.
Reviewer: Stanislav A. Molchanov
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 109-111
Semi-bounded differential operators, contractive semigroups, and beyond, by Alberto Cialdea and Vladimir Maz’ya.
Reviewer: Jerome A. Goldstein
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 113-122
Singular perturbation in the physical sciences, by John Neu.
Reviewer: Jacob Rubinstein
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 123-129
Noise sensitivity of Boolean functions and percolation, by Christophe Garban and Jeffrey E. Steif.
Reviewer: Eviatar B. Procaccia
Review information PDF
Bull. Amer. Math. Soc. 55 (2018), 131-138