What math should I learn to get in depth with Elliptic Curve Cryptography research?
An Introduction to the Theory of Elliptic Curves (Brown University)

Elliptic Curve Cryptography (Wikipedia)

Performance analysis of identity management in the Session Initiation Protocol (SIP) (IEEE)

Overview of Elliptic Curve Cryptosystems. (RSA.com)

Lecture by Dan Boneh (Youtube)