I have just finished the book Introductory Algebraic Number Theory by Kenneth S. Williams and Saban Alaca. My aim is to reach graduate level to do research, especially in one or more of the following fields:
- Algebraic Number Theory;
- Elliptic Curves;
- Complex Multiplication;
- The Class Numbers of Ray Class Fields of Imaginary Quadratic Fields;
- Arithmetically Exceptional Mappings.
But articles are not only too advanced to study after Williams & Alaca's book, but also I don't think that they are readable by just studying Williams & Alaca at all for a self-learner like me. Please someone tell me a book on Algebraic Number Theory more advanced than Alaca's book but readable, especially for self-learning.
