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Women in Numbers Europe II

Contributions to Number Theory and Arithmetic Geometry

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Irene I. Bouw

    1. Institut für Reine Mathematik, Universität Ulm, Ulm, Germany

  2. Ekin Ozman

    1. Department of Mathematics, Bogaziçi University, Istanbul, Turkey

  3. Jennifer Johnson-Leung

    1. Department of Mathematics, University of Idaho, Moscow, USA

  4. Rachel Newton

    1. Department of Mathematics and Statistics, University of Reading, Reading, United Kingdom

  • Spans a wide range of topics in contemporary number theory and arithmetic geometry
  • Exemplifies the wealth of techniques available to modern researchers in number theory
  • Provides an easily accessible introduction to the field through concrete examples

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 11)

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About this book

Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as computational methods exemplifies the wealth of techniques available to modern researchers in number theory. 
Exploring connections between different branches of mathematics and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. Perfect for students and researchers interested in the field, this volume provides an easily accessible introduction and has the potential to inspire future work. 


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Table of contents (10 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Lower Bounds for Heights in Relative Galois Extensions

    • Shabnam Akhtari, Kevser Aktaş, Kirsti D. Biggs, Alia Hamieh, Kathleen Petersen, Lola Thompson
    Pages 1-17

  3. Reductions of Algebraic Integers II

    • Antonella Perucca
    Pages 19-33

  4. Reductions of One-Dimensional Tori II

    • Antonella Perucca
    Pages 35-37

  5. On the Carlitz Rank of Permutation Polynomials Over Finite Fields: Recent Developments

    • Nurdagül Anbar, Almasa Odžak, Vandita Patel, Luciane Quoos, Anna Somoza, Alev Topuzoğlu
    Pages 39-55

  6. Dynamical Belyi Maps

    • Jacqueline Anderson, Irene I. Bouw, Ozlem Ejder, Neslihan Girgin, Valentijn Karemaker, Michelle Manes
    Pages 57-82

  7. Discriminant Twins

    • Alyson Deines
    Pages 83-106

  8. The a-Number of Hyperelliptic Curves

    • Sarah Frei
    Pages 107-116

  9. Non-ordinary Curves with a Prym Variety of Low p-Rank

    • Turku Ozlum Celik, Yara Elias, Burçi̇n Güneş, Rachel Newton, Ekin Ozman, Rachel Pries et al.
    Pages 117-158

  10. Elliptic Fibrations on Covers of the Elliptic Modular Surface of Level 5

    • Francesca Balestrieri, Julie Desjardins, Alice Garbagnati, Céline Maistret, Cecília Salgado, Isabel Vogt
    Pages 159-197

  11. On Birch and Swinnerton-Dyer’s Cubic Surfaces

    • Mckenzie West
    Pages 199-213
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Editors and Affiliations

  • Institut für Reine Mathematik, Universität Ulm, Ulm, Germany

    Irene I. Bouw

  • Department of Mathematics, Bogaziçi University, Istanbul, Turkey

    Ekin Ozman

  • Department of Mathematics, University of Idaho, Moscow, USA

    Jennifer Johnson-Leung

  • Department of Mathematics and Statistics, University of Reading, Reading, United Kingdom

    Rachel Newton

About the editors



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Bibliographic Information

  • Book Title: Women in Numbers Europe II

  • Book Subtitle: Contributions to Number Theory and Arithmetic Geometry

  • Editors: Irene I. Bouw, Ekin Ozman, Jennifer Johnson-Leung, Rachel Newton

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-319-74998-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) and the Association for Women in Mathematics 2018

  • Hardcover ISBN: 978-3-319-74997-6Published: 02 June 2018

  • Softcover ISBN: 978-3-030-09124-8Published: 14 December 2018

  • eBook ISBN: 978-3-319-74998-3Published: 01 June 2018

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: XII, 213

  • Number of Illustrations: 15 b/w illustrations, 3 illustrations in colour

  • Topics: Number Theory

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