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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Contents of Volume 53, Number 1
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Reciprocity laws and Galois representations: recent breakthroughs
Jared Weinstein PDF
Bull. Amer. Math. Soc. 53 (2016), 1-39
From rational billiards to dynamics on moduli spaces
Alex Wright PDF
Bull. Amer. Math. Soc. 53 (2016), 41-56
The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability
Andrea R. Nahmod PDF
Bull. Amer. Math. Soc. 53 (2016), 57-91
String theory and math: Why this marriage may last. Mathematics and dualities of quantum physics
Mina Aganagic PDF
Bull. Amer. Math. Soc. 53 (2016), 93-115

Mathematical Perspectives


About the cover: Gauss and the Disquisitiones Arithmeticæ
Gerald L. Alexanderson and Leonard F. Klosinski PDF
Bull. Amer. Math. Soc. 53 (2016), 117-120
Selections Reprinted from Mathematical Reviews
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 121-142

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

Methods of geometric analysis in extension and trace problems. Volume 1, by Alexander Brudnyi and Yuri Brudnyi.
Methods of geometric analysis in extension and trace problems. Volume 2, by Alexander Brudnyi and Yuri Brudnyi.
Reviewer: Garving K. Luli
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 143-149
Control of nonholonomic systems: from sub-Riemannian geometry to motion planning, by Frédéric Jean.
Reviewer: I. Zelenko
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 151-158
Dense sphere packings: a blueprint for formal proofs, by Thomas C. Hales.
Reviewer: Jeffrey C. Lagarias
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 159-166
Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory, by Francesco Maggi.
Reviewer: Alex Iosevich
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 167-171
Upper and lower bounds for stochastic processes, by M. Talagrand.
Reviewer: Antonio Auffinger
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 173-177
Numerically solving polynomial systems with Bertini, by Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese and Charles W. Wampler.
Reviewer: Henry Schenck
Review information PDF
Bull. Amer. Math. Soc. 53 (2016), 179-186