I am a freshman who want to research elliptic curve cryptography.
There are a few questions I have:
Firstly, I am not sure about how I should narrow down the topic. Where should I focus on? Can I examine a specific application of elliptic curve cryptography? Or should I basically compare Elliptic Curve Cryptography and RSA algorithms.
Secondly, which prerequisite knowledge do I need? Also, do you suggest any foundational books on the topic?