Number Theory and Algebraic Geometry

This volume pays tribute to Sir Peter Swinnerton-Dyer's extensive contributions to mathematics, particularly in number theory and algebraic geometry.

This volume celebrates the remarkable mathematical career of Sir Peter Swinnerton-Dyer, who has dedicated over 60 years to innovative work in various fields. Number Theory and Algebraic Geometry provides an insightful review of his significant contributions, showcasing the impact he has had on mathematics. The book is particularly dedicated to honoring Sir Peter on his 75th birthday, reflecting on his extensive influence.

The opening section of Number Theory and Algebraic Geometry delves into Sir Peter's notable contributions, highlighting his work in analytic and arithmetic number theory, as well as algebraic geometry. The text features articles from leading researchers who explore a variety of topics, such as rational points on algebraic varieties, the Hasse principle, and Shafarevich-Tate groups of elliptic curves. These discussions not only honor Sir Peter's legacy but also illustrate the ongoing relevance of his work in contemporary mathematics.

In addition to celebrating Sir Peter Swinnerton-Dyer's achievements, this volume serves as a valuable resource for mathematicians interested in the interplay between number theory and algebraic geometry. By examining topics like Diophantine approximation and the properties of Abelian and Fano varieties, Number Theory and Algebraic Geometry provides a comprehensive overview of the current state of research influenced by Sir Peter's groundbreaking ideas.