Cryptographer's panel RSA'17 Feb 14th
Cryptography is maybe not your first choice, but worth starting. Just visit iacr.org and search for Post Quantum Crypto to become familiar. At the upcoming RSA Conf 2017 the cryptographer's panel will be Feb 14th with live streaming.
Some conclusions out of the panel are AES will remain secure for the forseeable future. A single PKI will not save 'survive' a few of them bound together will. SHA-3 has still a huge security margin.
Yes, SHA-3 will survive the next few years very well
RSA always add backdoors under 10 Million USD paid by NSA )
Never trust them )
droopy - you are right. Will PM you a paper about a very new Side Channel Attack