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.

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.  

From modular to adic Langlands correspondences for U(1, 1)(Q2/Q): deformations in the non-supercuspidal case" (A. David).- Explicit connections between supersingular isogeny graphs and Bruhat–Tits trees (L. Amorós, A. Lezzi, K. Lauter, C. Martindale, and J. Sotáková).- Semi-regular sequences and other random systems of equations (E. Gorla).- Reduction types of genus-3 curves in a special stratum of their moduli space (A. Somoza).- Constructions of new matroids and designs over Fq (M. Ceria).- The Complexity of MinRank (E. Gorla).- Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces (C. Salgado).- Integers represented by ternary quadratic forms (D. Schindler).- Construction of Poincaré-type series by generating kernels (L. Smajlovic).- The Hasse norm principle in global function fields (R. Newton).- Asymptotics of class numbers for real quadratic fields (N. Raulf).- Some split symbol algebras of prime degree (D. Savin).