I'm an engineer with experience in applied cryptography, in particular in Smart Card systems.
Feel free to edit my answers to fix obvious errors, or improve them on expression (I'm not a native English speaker).
54 How big an RSA key is considered secure today? mar 3 '12
25 What security authorities and standards reject $e=3$ in RSA, when, and with what rationale? may 25 '13
18 Impacts of not using RSA exponent of 65537 jul 1 '12
17 Does RSA work for any message M? oct 20 '11
17 Is it feasible to build an index of prime factors? oct 21 '11
17 How secure would HMAC-SHA3 be? apr 24 '14
17 Why is plain-hash-then-encrypt not a secure MAC? may 28 '14