Women in Numbers Europe III: Research Directions in Number Theory

This volume includes articles from various research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. It was developed as a result of collaborations started at the 3rd Women in Numbers Europe (WINE) conference.

Format: Hardback
Length: 328 pages
Publication date: 02 February 2022
Publisher: Springer Nature Switzerland AG

This comprehensive volume encompasses a diverse range of articles that delve into various facets of number theory, including arithmetic geometry, algebraic number theory, analytic number theory, and their applications in cryptography and coding theory. The majority of the articles featured in this collection emerged from collaborative endeavors initiated during the 3rd edition of the Women in Numbers Europe (WINE) conference, which brought together senior and mid-level faculty members, junior faculty, postdoctoral researchers, and graduate students.

The book's contents are particularly relevant to advanced graduate students and scholars engaged in number theory research. It offers a valuable platform for disseminating cutting-edge research findings, fostering intellectual exchange, and promoting collaboration among the number theory community.

The articles in this volume cover a wide array of topics, ranging from fundamental developments in number theory to their practical applications in cryptography and coding theory. Some of the key areas explored include the study of modular forms, elliptic curves, L-functions, and the theory of automorphic forms. The authors present original research results, as well as discuss recent advancements and open problems in the field.

One of the notable features of this book is the strong emphasis on interdisciplinary collaboration. The articles demonstrate how number theory intersects with other areas such as mathematics, computer science, and engineering, providing new insights and solutions to complex problems. This cross-disciplinary approach not only enhances the theoretical understanding of number theory but also has practical implications in various fields, such as secure communication, data encryption, and computer security.

Another noteworthy aspect of this volume is the participation of women in number theory research. The WINE conference, as its name suggests, aims to promote gender equality and encourage women to pursue careers in mathematics and scientific fields. The inclusion of articles by female researchers not only showcases the talent and contributions of women in number theory but also serves as a motivating factor for future generations of women to pursue their interests in mathematics and scientific research.

In conclusion, this comprehensive volume provides a valuable resource for graduate students and researchers in number theory. It showcases the latest research findings, fosters interdisciplinary collaboration, and promotes gender equality in the field. The articles presented herein offer insightful perspectives and contribute to the ongoing development of number theory, making it an essential read for anyone interested in this fascinating branch of mathematics.

Weight: 676g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030776992
Edition number: 1st ed. 2021