Contents of Volume 53, Number 1
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 Reciprocity laws and Galois representations: recent breakthroughs

Jared Weinstein.
Bull. Amer. Math. Soc. 53 (2016), 139
Abstract, references and article information
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MathSciNet review: 3403079
 From rational billiards to dynamics on moduli spaces

Alex Wright.
Bull. Amer. Math. Soc. 53 (2016), 4156
Abstract, references and article information
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MathSciNet review: 3403080
 The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability

Andrea R. Nahmod.
Bull. Amer. Math. Soc. 53 (2016), 5791
Abstract, references and article information
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MathSciNet review: 3403081
 String theory and math: Why this marriage may last. Mathematics and dualities of quantum physics

Mina Aganagic.
Bull. Amer. Math. Soc. 53 (2016), 93115
Abstract, references and article information
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MathSciNet review: 3403082
 About the cover: Gauss and the Disquisitiones Arithmeticæ

Gerald L. Alexanderson and Leonard F. Klosinski.
Bull. Amer. Math. Soc. 53 (2016), 117120
Abstract, references and article information
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MathSciNet review: 3403083
Mathematical Perspectives
 Selections Reprinted from "Mathematical Reviews"

Bull. Amer. Math. Soc. 53 (2016), 121142
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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
Bull. Amer. Math. Soc. 53 (2016), 143149
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 Control of nonholonomic systems: from subRiemannian geometry to motion planning, by Frédéric Jean.

Reviewer: I. Zelenko
Bull. Amer. Math. Soc. 53 (2016), 151158
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 Dense sphere packings: a blueprint for formal proofs, by Thomas C. Hales.

Reviewer: Jeffrey C. Lagarias
Bull. Amer. Math. Soc. 53 (2016), 159166
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 Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory, by Francesco Maggi.

Reviewer: Alex Iosevich
Bull. Amer. Math. Soc. 53 (2016), 167171
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 Upper and lower bounds for stochastic processes, by M. Talagrand.

Reviewer: Antonio Auffinger
Bull. Amer. Math. Soc. 53 (2016), 173177
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 Numerically solving polynomial systems with Bertini, by Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese and Charles W. Wampler.

Reviewer: Henry Schenck
Bull. Amer. Math. Soc. 53 (2016), 179186
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