01
2016
Prime Numbers and the Riemann Hypothesis
A direct, accessible explanation of what the Riemann Hypothesis says and why it matters.
Books and open texts
Books
Published books, evolving lecture notes, and their source material. Most of these works can be read in full here.
02
2007
Modular Forms, a Computational Approach
Algorithms and explicit computation with modular forms, freely available from the AMS.
03
Open text
Algebraic Number Theory, a Computational Approach
A computational introduction with a web edition, PDF, and complete source.
04
Open text
Lectures on Modular Forms and Hecke Operators
Lecture notes on modular forms, Hecke operators, and the arithmetic surrounding them.
05
Draft
The Birch and Swinnerton-Dyer Conjecture, a Computational Approach
A computationally oriented draft and supporting web edition on the BSD conjecture.