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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 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 54, Number 4
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Introduction to the Tate issue
Susan Friedlander PDF
Bull. Amer. Math. Soc. 54 (2017), 541-543
The Works of John Tate [reprinted from J. S. Milne, “The Works of John Tate”, The Abel Prize 2008–2012, (Helge Holden and Ragni Piene, editors), pp. 259–340 Springer, Heidelberg, 2014.]
J. S. Milne PDF
Bull. Amer. Math. Soc. 54 (2017), 544-545
Number theory in the 20th century: Part 1
John Tate PDF
Bull. Amer. Math. Soc. 54 (2017), 547-550
Review of the Collected Works of John Tate
J. S. Milne PDF
Bull. Amer. Math. Soc. 54 (2017), 551-558
Tate’s work and the Serre–Tate correspondence
Pierre Colmez PDF
Bull. Amer. Math. Soc. 54 (2017), 559-573
Recent progress on the Tate conjecture
Burt Totaro PDF
Bull. Amer. Math. Soc. 54 (2017), 575-590
Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article)
Joseph H. Silverman PDF
Bull. Amer. Math. Soc. 54 (2017), 591-594
The classical Artin approximation theorems
Herwig Hauser PDF
Bull. Amer. Math. Soc. 54 (2017), 595-633
Essential dimension
Alexander S. Merkurjev PDF
Bull. Amer. Math. Soc. 54 (2017), 635-661

Mathematical Perspectives


Selections Reprinted from Mathematical Reviews
Review information PDF
Bull. Amer. Math. Soc. 54 (2017), 663-673

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

Basic noncommutative geometry, 2nd edition, by Masoud Khalkhali.
Reviewer: Guoliang Yu
Review information PDF
Bull. Amer. Math. Soc. 54 (2017), 675-679
Combinatorial algebra: syntax and semantics, by Mark V. Sapir.
Reviewer: Laurent Bartholdi
Review information PDF
Bull. Amer. Math. Soc. 54 (2017), 681-686