© 2016

Directions in Number Theory

Proceedings of the 2014 WIN3 Workshop

  • Ellen E. Eischen
  • Ling Long
  • Rachel Pries
  • Katherine E. Stange
  • Includes papers spanning a wide range of research areas, including arithmetic geometry, analytic number theory, algebraic number theory, and applications to coding and cryptography

  • Features the contributions of over 40 number theorists, stemming from collaborations between senior and mid-level faculty, junior faculty and postdocs, and graduate students

  • Presents a compilation of research and survey papers

Conference proceedings

Part of the Association for Women in Mathematics Series book series (AWMS, volume 3)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Francesca Balestrieri, Jennifer Berg, Michelle Manes, Jennifer Park, Bianca Viray
    Pages 1-31
  3. J. S. Balakrishnan, M. Çiperiani, J. Lang, B. Mirza, R. Newton
    Pages 33-55
  4. Rachel Davis, Rachel Pries, Vesna Stojanoska, Kirsten Wickelgren
    Pages 57-86
  5. Irene Bouw, Wei Ho, Beth Malmskog, Renate Scheidler, Padmavathi Srinivasan, Christelle Vincent
    Pages 87-124
  6. Alyson Deines, Jenny G. Fuselier, Ling Long, Holly Swisher, Fang-Ting Tu
    Pages 125-159
  7. Ana Caraiani, Ellen Eischen, Jessica Fintzen, Elena Mantovan, Ila Varma
    Pages 197-243
  8. Amy Feaver, Anna Haensch, Jingbo Liu, Gabriele Nebe
    Pages 245-270
  9. Yara Elias, Kristin E. Lauter, Ekin Ozman, Katherine E. Stange
    Pages 271-290
  10. Melanie Matchett Wood
    Pages 291-339

About these proceedings


Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography.

The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.


Arithmetic Geometry Elliptic Curves Galois Theory arithmetic of curves Shimura curves analytic number theory algebraic number theory cryptography rational points on varieties via cohomological methods rational points over number fields Hecke operators p-adic automorphic forms applied number theory

Editors and affiliations

  • Ellen E. Eischen
    • 1
  • Ling Long
    • 2
  • Rachel Pries
    • 3
  • Katherine E. Stange
    • 4
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA
  2. 2.Department of MathematicsLouisiana State UniversityBaton RougeUSA
  3. 3.Department of MathematicsColorado State UniversityFort CollinsUSA
  4. 4.Department of MathematicsUniversity of ColoradoBoulderUSA

Bibliographic information

  • Book Title Directions in Number Theory
  • Book Subtitle Proceedings of the 2014 WIN3 Workshop
  • Editors Ellen E. Eischen
    Ling Long
    Rachel Pries
    Katherine E. Stange
  • Series Title Association for Women in Mathematics Series
  • Series Abbreviated Title Association for Women in Mathematics Series
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-30974-3
  • Softcover ISBN 978-3-319-80934-2
  • eBook ISBN 978-3-319-30976-7
  • Series ISSN 2364-5733
  • Series E-ISSN 2364-5741
  • Edition Number 1
  • Number of Pages XV, 339
  • Number of Illustrations 12 b/w illustrations, 1 illustrations in colour
  • Topics Number Theory
    Topological Groups, Lie Groups
  • Buy this book on publisher's site
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