RSA
RSA is an asymmetric algorithm and is attributed to three people but reading this article will explain who developed the algorithm years earlier. When reading this article, try to understand the section on key generation, encrypting messages, decrypting messages, and signing messages. Most importantly, note the speed of RSA in comparison to DES that was discussed in the section on symmetric key encryption. Also note how attacks such as man-in-the-middle and RSA blinding attacks can be avoided.
In 1998, Daniel Bleichenbacher described the first practical adaptive chosen ciphertext attack, against RSA-encrypted messages using the PKCS #1 v1 redundancy function (a redundancy function adds structure to an RSA-encrypted message, so it is possible to determine whether a decrypted message is valid.) Due to flaws with the PKCS #1 scheme, Bleichenbacher was able to mount a practical attack against RSA implementations of the Secure Socket Layer protocol, and potentially reveal session keys. As a result of this work, cryptographers now recommend the use of provably secure redundancy checks such as Optimal Asymmetric Encryption Padding, and RSA Laboratories has released new versions of PKCS #1 that are not vulnerable to these attacks.