Synopsis The theme of the workshop was Algebraic number theory with special emphasis on Elliptic curves. The theory of Elliptic curves has been the source of new approaches to classical problems in number theory. It has also found applications in cryptography. The workshop also covered some aspects of cryptography. The volume is in three parts, the first part contains articles in the field of Elliptic curves, the second contains articles on Modular forms. Some basics as well as some advanced topics on cryptography are presented in the third and final part of these proceedings. Each part contains an introduction, which, in some sense, gives the overall picture of the contents in that part. Most of the articles are presented in a self-contained style and they give a different flavour to the subject. Though some of the contents of a few articles are already contained in some textbooks, they are presented here (with due references) in order to make this volume complete to some extent. We hope that the graduate students who want to pursue their research career in number theory will benefit from this volume.