Reddit reviews Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

That is a great list, just a few random comments.

Basics for discrete math, 6.042 is a nice resource, it has a free full open text book. While it's actually simpler than most of your links it actually gives a nice introduction to some of the formalisms you'll run into later.

CLRS is an amazing reference for just about anything you need. It's not a nice introduction to things but it will easily save your behind as a reference in a pinch.

My one real disagreement is your suggestion of abstract algebra book, I'm a fan of Algebra by artin. It's a bit rough, but you can usually pick up older versions fairly cheap and it comes with course notes. It can come with it's ocw counterpart. It's how I learned, and i personally think it's one of the better resources out there.

The more mature version of cousot's class is 6.820 which is a fairly good class but can actually take a while to get through the material if you don't have a friend to do it with. If you get through it, you will have one hell of a base.

For crypto, since i do love crypto probably a bit different, Stanford is a great class I suggest looking at My suggestions, start with

• Technically before Pitfalls by schneier, giving what the hell can go wrong.
  
  
• 6.857 it's got good course notes and will teach you the basics, and some notation. It also goes over the simple groups and osme older algorithms
  
  
  
• Matthew Green's blog is a great place to read about some concepts in simpler terms. It's more protocol based than it is algorithm based, but presents information in a digestible format.
  
  
• Understanding cryptography keeps on this and goes further than 857 does and continues on this journey
  
  
• A bit older but schneiers self study is an interesting set of reads. It gives you papers that help you build up to where to go next, what things will actually occur again and again.
  
  
• A bit more advanced cryptography course It goes further in depth than the stanford course, or 857. It goes further into ZKP than I believe really is needed but goes into some of the other concepts pretty well.
  
  
• This is my off the wall suggestion, Elliptic Curves
  Number Theory and Cryptography is one of the best books I've read on EC yet. It's approachable and actually does an amazing job. If you want checks with it, try the psets here
  
  
  Just a few supplementary suggestions.
  
  You gave a great list, an absolutely a amazing roadmap

This is one of my favorite books on elliptic curve cryptography, just thought I'd pass it along

http://www.amazon.com/Elliptic-Curves-Cryptography-Mathematics-Applications/dp/1420071467


Have you studied much about elliptic curves? Their application to cryptography is really cool.