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Research Directions in Number Theory

Women in Numbers IV

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Jennifer S. Balakrishnan

    1. Department of Mathematics and Statistics, Boston University, Boston, USA

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  2. Amanda Folsom

    1. Department of Mathematics and Statistics, Amherst College, Amherst, USA

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  3. Matilde Lalín

    1. Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada

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    You can also search for this editor in PubMed   Google Scholar

  4. Michelle Manes

    1. Department of Mathematics, University of Hawai‘i, Honolulu, USA

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Part of the book series: Association for Women in Mathematics Series (AWMS, volume 19)

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Table of contents (9 papers)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Ramanujan Graphs in Cryptography

    • Anamaria Costache, Brooke Feigon, Kristin Lauter, Maike Massierer, Anna Puskás
    Pages 1-40

  3. Cycles in the Supersingular ℓ-Isogeny Graph and Corresponding Endomorphisms

    • Efrat Bank, Catalina Camacho-Navarro, Kirsten Eisenträger, Travis Morrison, Jennifer Park
    Pages 41-66

  4. Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves

    • Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán, Mirela Çiperiani, Anastassia Etropolski
    Pages 67-90

  5. Weierstrass Equations for the Elliptic Fibrations of a K3 Surface

    • Odile Lecacheux
    Pages 91-114

  6. Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points

    • Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang
    Pages 115-132

  7. Arboreal Representations for Rational Maps with Few Critical Points

    • Jamie Juul, Holly Krieger, Nicole Looper, Michelle Manes, Bianca Thompson, Laura Walton
    Pages 133-151

  8. Dessins D’enfants for Single-Cycle Belyi Maps

    • Michelle Manes, Gabrielle Melamed, Bella Tobin
    Pages 153-159

  9. Multiplicative Order and Frobenius Symbol for the Reductions of Number Fields

    • Antonella Perucca
    Pages 161-171

  10. Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity

    • Amanda Folsom, Min-Joo Jang, Sam Kimport, Holly Swisher
    Pages 173-195
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Keywords

About this book

These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops.

The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.


Editors and Affiliations

  • Department of Mathematics and Statistics, Boston University, Boston, USA

    Jennifer S. Balakrishnan

  • Department of Mathematics and Statistics, Amherst College, Amherst, USA

    Amanda Folsom

  • Département de mathématiques et de statistique, Université de Montréal, Montréal, Canada

    Matilde Lalín

  • Department of Mathematics, University of Hawai‘i, Honolulu, USA

    Michelle Manes

Bibliographic Information

  • Book Title: Research Directions in Number Theory

  • Book Subtitle: Women in Numbers IV

  • Editors: Jennifer S. Balakrishnan, Amanda Folsom, Matilde Lalín, Michelle Manes

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-030-19478-9

  • Publisher: Springer Cham

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

  • Copyright Information: The Author(s) and The Association for Women in Mathematics 2019

  • Hardcover ISBN: 978-3-030-19477-2Published: 02 August 2019

  • Softcover ISBN: 978-3-030-19480-2Published: 14 August 2020

  • eBook ISBN: 978-3-030-19478-9Published: 01 August 2019

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: XIX, 195

  • Number of Illustrations: 16 b/w illustrations, 4 illustrations in colour

  • Topics: Number Theory

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