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Women in Numbers 2: Research Directions in Number Theory

Edited by: Chantal David Concordia University, Montreal, Quebec, Canada
Matilde Lalín University of Montreal, Montreal, Quebec, Canada
Michelle Manes University of Hawaii, Honolulu, HI
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Electronic ISBN: 978-1-4704-1440-5
Product Code: CONM/606.E
List Price: $76.00 MAA Member Price:$68.40
AMS Member Price: $60.80 Click above image for expanded view Women in Numbers 2: Research Directions in Number Theory Edited by: Chantal David Concordia University, Montreal, Quebec, Canada Matilde Lalín University of Montreal, Montreal, Quebec, Canada Michelle Manes University of Hawaii, Honolulu, HI A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Electronic ISBN: 978-1-4704-1440-5 Product Code: CONM/606.E  List Price:$76.00 MAA Member Price: $68.40 AMS Member Price:$60.80
• Book Details

Contemporary Mathematics
Centre de Recherches Mathématiques Proceedings
Volume: 6062013; 206 pp
MSC: Primary 11; 14; 33; 94;

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.

Graduate students and research mathematicians interested in number theory.

• Articles
• Jennifer Johnson-Leung - The Local Equivariant Tamagawa Number Conjecture for Almost Abelian Extensions
• Rachel Davis - Images of Metabelian Galois Representations Associated to Elliptic Curves
• Rebecca Bellovin, Sharon Anne Garthwaite, Ekin Ozman, Rachel Pries, Cassandra Williams and Hui June Zhu - Newton Polygons for a Variant of the Kloosterman Family
• Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter, Jennifer Park and Bianca Viray - Comparing Arithmetic Intersection Formulas for Denominators of Igusa Class Polynomials
• Adriana Salerno - An Algorithmic Approach to the Dwork Family
• Alice Silverberg - Ranks “Cheat Sheet”
• Alice Silverberg - Fully Homomorphic Encryption for Mathematicians
• Marie-José Bertin and Matilde Lalín - Mahler Measure of Multivariable Polynomials
• Marie-José Bertin, Amy Feaver, Jenny Fuselier, Matilde Lalín and Michelle Manes - Mahler Measure of Some Singular $K3$-surfaces
• Shabnam Akhtari, Chantal David, Heekyoung Hahn and Lola Thompson - Distribution of Squarefree Values of Sequences Associated with Elliptic Curves
• Sarah Chisholm, Alyson Deines and Holly Swisher - Recent Advances for Ramanujan Type Supercongruences

• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Centre de Recherches Mathématiques Proceedings
Volume: 6062013; 206 pp
MSC: Primary 11; 14; 33; 94;

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.

Graduate students and research mathematicians interested in number theory.

• Articles
• Jennifer Johnson-Leung - The Local Equivariant Tamagawa Number Conjecture for Almost Abelian Extensions
• Rachel Davis - Images of Metabelian Galois Representations Associated to Elliptic Curves
• Rebecca Bellovin, Sharon Anne Garthwaite, Ekin Ozman, Rachel Pries, Cassandra Williams and Hui June Zhu - Newton Polygons for a Variant of the Kloosterman Family
• Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter, Jennifer Park and Bianca Viray - Comparing Arithmetic Intersection Formulas for Denominators of Igusa Class Polynomials
• Adriana Salerno - An Algorithmic Approach to the Dwork Family
• Alice Silverberg - Ranks “Cheat Sheet”
• Alice Silverberg - Fully Homomorphic Encryption for Mathematicians
• Marie-José Bertin and Matilde Lalín - Mahler Measure of Multivariable Polynomials
• Marie-José Bertin, Amy Feaver, Jenny Fuselier, Matilde Lalín and Michelle Manes - Mahler Measure of Some Singular $K3$-surfaces
• Shabnam Akhtari, Chantal David, Heekyoung Hahn and Lola Thompson - Distribution of Squarefree Values of Sequences Associated with Elliptic Curves
• Sarah Chisholm, Alyson Deines and Holly Swisher - Recent Advances for Ramanujan Type Supercongruences
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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