American Mathematical Society

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.

Selections Reprinted from Mathematical Reviews

Review information:
Journal: Bull. Amer. Math. Soc. 53 (2016), 121-142
Published electronically: August 26, 2015
Full text: PDF

MR: 0231827 (38 #155)
J. T. Tate
$p$-divisible groups.
1967, 158–183 pp.
Reviewed by: M. Miyanishi

MR: 0546620 (81i:10032)
Pierre Deligne
Varietes de Shimura: interpretation modulaire, et techniques de construction de modeles canoniques.
Proc. Sympos. Pure Math., XXXIII, 1979, 247–289 pp.
Reviewed by: J. S. Milne

MR: 1047143 (91g:11066)
K. A. Ribet
On modular representations of $\operatorname {Gal} (\overline {\mathbf {Q}}/{\mathbf {Q}})$ arising from modular forms.
Inventiones Mathematicae 100, (1990), no. 2, 431–476
Reviewed by: Glenn Stevens

MR: 1793414 (2002b:11072)
C. M. Skinner and A. J. Wiles
Residually reducible representations and modular forms.
Institut des Hautes Etudes Scientifiques. Publications Mathematiques, (1999), no. 89, 5–126
Reviewed by: Jacques Tilouine

MR: 1705837 (2000m:14024)
Takeshi Tsuji
$p$-adic etale cohomology and crystalline cohomology in the semi-stable reduction case.
Inventiones Mathematicae 137, (1999), no. 2, 233–411
Reviewed by: Abdellah Mokrane

MR: 1935843 (2003k:11092)
Ravi Ramakrishna
Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur.
Annals of Mathematics. Second Series 156, (2002), no. 1, 115–154
Reviewed by: Chandrashekhar Khare

MR: 1992017 (2004f:11053)
Mark Kisin
Overconvergent modular forms and the Fontaine-Mazur conjecture.
Inventiones Mathematicae 153, (2003), no. 2, 373–454
Reviewed by: Thomas A. Weston

MR: 2480604 (2009m:11077)
Chandrashekhar Khare and Jean-Pierre Wintenberger
On Serre’s conjecture for 2-dimensional mod $p$ representations of $\operatorname {Gal}(\overline {\mathbb {Q}}/{\mathbb {Q}})$.
Annals of Mathematics. Second Series 169, (2009), no. 1, 229–253
Reviewed by: Gabor Wiese

MR: 3090258
Peter Scholze
Perfectoid spaces.
Publications Mathematiques. Institut de Hautes Études Scientifiques 116, (2012), 245–313
Reviewed by: Jean-Marc Fontaine