Women in Numbers Europe III

1. Front Matter

   Pages i-x

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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

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 3^rd 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.

• curves
• cryptography
• abelian varieties
• function fields
• automporphic forms
• quadratic forms
• matroids and designs
• Galois theory
• group representation
• Gröbner basis

• 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

​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.

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