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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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Book Review

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MathSciNet review: 2798318
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Nicholas M. Katz
Title: Moments, monodromy, and perversity: Diophantine perspective
Additional book information: Annals of Mathematics Studies, 159, Princeton University Press, Princeton, NJ, 2005, viii+475 pp., ISBN 978-0-691-12330-1, $59.50$, paper
$99.50 (cloth), ISBN 13: 978-0-691-12329-5$

References [Enhancements On Off] (What's this?)

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    • 5.
    Clozel, Laurent; Harris, Michael; Taylor, Richard: Automorphy for some $ \ell$-adic lifts of automorphic mod $ \ell$ representations, preprint.
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    Harris, Michael; Shepherd-Barron, Nicholas; Taylor, Richard: A family of Calabi-Yau varieties and potential automorphy, preprint.
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    Taylor, Richard: Automorphy for some $ \ell$-adic lifts of automorphic mod $ \ell$ representations, II, preprint.
  • Nicholas M. Katz, Sommes exponentielles, Astérisque, vol. 79, Société Mathématique de France, Paris, 1980 (French). Course taught at the University of Paris, Orsay, Fall 1979; With a preface by Luc Illusie; Notes written by Gérard Laumon; With an English summary. MR 617009
  • Nicholas M. Katz, Gauss sums, Kloosterman sums, and monodromy groups, Annals of Mathematics Studies, vol. 116, Princeton University Press, Princeton, NJ, 1988. MR 955052, DOI 10.1515/9781400882120
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  • M. Larsen and R. Pink, Determining representations from invariant dimensions, Invent. Math. 102 (1990), no. 2, 377–398. MR 1074479, DOI 10.1007/BF01233432
  • Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158
    • Review Information:

    Reviewer: Michael Larsen
    Affiliation: Indiana University
    Email: larsen@math.indiana.edu
    Journal: Bull. Amer. Math. Soc. 46 (2009), 137-141
    DOI: https://doi.org/10.1090/S0273-0979-08-01203-2
    Published electronically: September 15, 2008
    Review copyright: © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.