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Women in Numbers Europe III

Research Directions in Number Theory

  • Book
  • © 2021

Overview

Editors:
  1. Alina Carmen Cojocaru

    1. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, USA

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  2. Sorina Ionica

    1. Laboratoire MIS, University of Picardie Jules Verne, Amiens, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Elisa Lorenzo García

    1. Laboratoire IRMAR, Université de Rennes 1, Rennes, France

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    You can also search for this editor in PubMed   Google Scholar

  • Contains articles in number theory in abroad sense such us arithmetic geometry, algebraic and analytic number theory, and applications in cryptography and coding theory
  • The content of this book should be of interest to graduate students and researchers in number theory
  • Showcases the outcomes of collaborative efforts from the WIN-E3 conference

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 24)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. From p-modular to p-adic Langlands Correspondences for \({\mathrm {U}(1,1)({\mathbb {Q}_{{p}^{2}}}/\mathbb {Q}_{p})}\): Deformations in the Non-supercuspidal Case

    • Ramla Abdellatif, Agnes David, Beth Romano, Hanneke Wiersema
    Pages 1-38

  3. Explicit Connections Between Supersingular Isogeny Graphs and Bruhat–Tits Trees

    • Laia Amorós, Annamaria Iezzi, Kristin Lauter, Chloe Martindale, Jana Sotáková
    Pages 39-73

  4. Semi-Regular Sequences and Other Random Systems of Equations

    • Mina Bigdeli, Emanuela De Negri, Manuela Muzika Dizdarevic, Elisa Gorla, Romy Minko, Sulamithe Tsakou
    Pages 75-114

  5. Reduction Types of Genus-3 Curves in a Special Stratum of their Moduli Space

    • Irene Bouw, Nirvana Coppola, Pınar Kılıçer, Sabrina Kunzweiler, Elisa Lorenzo García, Anna Somoza
    Pages 115-162

  6. The Complexity of MinRank

    • Alessio Caminata, Elisa Gorla
    Pages 163-169

  7. Fields of Definition of Elliptic Fibrations on Covers of Certain Extremal Rational Elliptic Surfaces

    • Victoria Cantoral-Farfán, Alice Garbagnati, Cecília Salgado, Antonela Trbović, Rosa Winter
    Pages 171-205

  8. Integers Represented by Ternary Quadratic Forms

    • Bernadette Faye, Lilian Matthiesen, Damaris Schindler, Magdaléna Tinková, Kristýna Zemková
    Pages 207-231

  9. Construction of Poincaré-type Series by Generating Kernels

    • Yasemin Kara, Moni Kumari, Jolanta Marzec, Kathrin Maurischat, Andreea Mocanu, Lejla Smajlović
    Pages 233-274

  10. The Hasse Norm Principle in Global Function Fields

    • Adelina Mânzăţeanu, Rachel Newton, Ekin Ozman, Nicole Sutherland, Rabia Gülşah Uysal
    Pages 275-290

  11. Asymptotics of Class Numbers for Real Quadratic Fields

    • Nicole Raulf
    Pages 291-318

  12. Some Split Symbol Algebras of Prime Degree

    • Diana Savin, Vincenzo Acciaro
    Pages 319-328
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Keywords

About this book

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students.  

The contents of this book should be of interest to graduate students and researchers in number theory.


Editors and Affiliations

  • Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, USA

    Alina Carmen Cojocaru

  • Laboratoire MIS, University of Picardie Jules Verne, Amiens, France

    Sorina Ionica

  • Laboratoire IRMAR, Université de Rennes 1, Rennes, France

    Elisa Lorenzo García

About the editors

​Alina Carmen Cojocaru works in number theory, with a focus on problems lying at the intersection of analytic number theory with arithmetic geometry. She is the recipient of the Doctoral Prize conferred by the Canadian Mathematical Society, the Titeica Prize conferred by the Romanian Academy, and the Career Award conferred by the USA National Science Foundation. Currently, Cojocaru is a professor at the University of Illinois at Chicago and a researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy.

Sorina Ionica is an associate professor of Computer Science at the Université de Picardie Jules Verne, France. Ionica's current research is focused on computational number theory and its applications to cryptography.  Her published work includes articles in the areas of elliptic curve cryptography, algorithms for small genus curves and combinatorics.


Elisa Lorenzo García is an associate professor at Université de Rennes 1, France. She is interested in effective methods in number theory and algebraic geometry. She was the president (2017-2019) of the Comission of Women and Mathematics of the RSME (Spanish Math Society), and she is member of the EGMO (European Girls' Math Olympiad) Advisory Board since 2018 and of CIMPA since 2019.

Bibliographic Information

  • Book Title: Women in Numbers Europe III

  • Book Subtitle: Research Directions in Number Theory

  • Editors: Alina Carmen Cojocaru, Sorina Ionica, Elisa Lorenzo García

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-030-77700-5

  • Publisher: Springer Cham

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

  • Copyright Information: The Authors and the Association for Women in Mathematics 2021

  • Hardcover ISBN: 978-3-030-77699-2Published: 02 February 2022

  • Softcover ISBN: 978-3-030-77702-9Published: 03 February 2023

  • eBook ISBN: 978-3-030-77700-5Published: 01 February 2022

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: X, 328

  • Number of Illustrations: 22 b/w illustrations, 8 illustrations in colour

  • Topics: Number Theory, Combinatorics

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