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Women in numbers Europe II. Contributions to number theory and arithmetic geometry, Leiden, The Netherlands, September 26–30, 2016. (English) Zbl 1398.11005
Association for Women in Mathematics Series 11. Cham: Springer (ISBN 978-3-319-74997-6/hbk; 978-3-319-74998-3/ebook). xii, 213 p. (2018).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Akhtari, Shabnam; Aktaş, Kevser; Biggs, Kirsti D.; Hamieh, Alia; Petersen, Kathleen; Thompson, Lola, Lower bounds for heights in relative Galois extensions, 1-17 [Zbl 1443.11128]
Perucca, Antonella, Reductions of algebraic integers. II, 19-33 [Zbl 1414.11156]
Perucca, Antonella, Reductions of one-dimensional tori. II, 35-37 [Zbl 1445.11133]
Anbar, Nurdagül; Odžak, Almasa; Patel, Vandita; Quoos, Luciane; Somoza, Anna; Topuzoğlu, Alev, On the Carlitz rank of permutation polynomials over finite fields: recent developments, 39-55 [Zbl 1445.11140]
Anderson, Jacqueline; Bouw, Irene I.; Ejder, Ozlem; Girgin, Neslihan; Karemaker, Valentijn; Manes, Michelle, Dynamical Belyi maps, 57-82 [Zbl 1405.37093]
Deines, Alyson, Discriminant twins, 83-106 [Zbl 1445.11046]
Frei, Sarah, The \(a\)-number of hyperelliptic curves, 107-116 [Zbl 1445.11052]
Celik, Turku Ozlum; Elias, Yara; Güneş, Burçin; Newton, Rachel; Ozman, Ekin; Pries, Rachel; Thomas, Lara, Non-ordinary curves with a Prym variety of low \(p\)-rank, 117-158 [Zbl 1451.14101]
Balestrieri, Francesca; Desjardins, Julie; Garbagnati, Alice; Maistret, Céline; Salgado, Cecília; Vogt, Isabel, Elliptic fibrations on covers of the elliptic modular surface of level 5, 159-197 [Zbl 1407.14028]
West, Mckenzie, On Birch and Swinnerton-Dyer’s cubic surfaces, 199-213 [Zbl 1445.11056]
MSC:
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
00B25 Proceedings of conferences of miscellaneous specific interest
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