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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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