Class Groups of Number Fields and Related Topics

This collection brings together cutting-edge research from leading number theorists exploring the deep mysteries of class groups and their connections to modern mathematical frontiers. Drawing from two international conferences, the work presents fundamental problems in algebraic number theory while introducing novel techniques for studying class numbers and their structural properties. Readers will encounter sophisticated approaches to understanding the distribution of ideal classes and their relationship to broader arithmetic questions that continue to challenge mathematicians today.

Specialists in algebraic number theory and graduate students pursuing research in arithmetic geometry will find this volume particularly valuable for its survey articles that contextualize recent advances alongside open problems. The conference proceedings format creates a dynamic snapshot of a rapidly evolving field, offering both established researchers and those entering the discipline accessible entry points to current methodologies. This compilation serves as both a research reference and an invitation to contribute to ongoing investigations in number theory's most persistent questions.