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.
