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Women in numbers 2: research directions in number theory / [edited by] Chantal David, Matilde Lalin and Michelle Manes.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 606. | Centre de Recherches Mathématiques proceedingsPublication details: Providence : American Mathematical Society, ©2013Description: x, 206 p. : illustrations ; 26 cmISBN:
  • 9781470410223 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
The local equivariant tamagawa number conjecture for almost abelian extensions-- Images of metabelian galois representations associated to elliptic curves-- Newton polygons for a variant of kloosterman family-- Comparing arithmetic intersection formulas for denominators of igusa class polynomials-- An algorithmic approach to the dwork family-- Ranks "cheat sheet"-- Fully homomorphic encryption for mathematicians-- Mahler measure multivariable polynomials-- Mahler measure of some singular k3-surfaces-- Distribution of squarefree values of sequences associated with elliptic curves-- Recent advances for Ramanujan type supercongruences.
Summary: The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 135867
Total holds: 0

Includes bibliographical references.

The local equivariant tamagawa number conjecture for almost abelian extensions--
Images of metabelian galois representations associated to elliptic curves--
Newton polygons for a variant of kloosterman family--
Comparing arithmetic intersection formulas for denominators of igusa class polynomials--
An algorithmic approach to the dwork family--
Ranks "cheat sheet"--
Fully homomorphic encryption for mathematicians--
Mahler measure multivariable polynomials--
Mahler measure of some singular k3-surfaces--
Distribution of squarefree values of sequences associated with elliptic curves--
Recent advances for Ramanujan type supercongruences.

The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields.

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