Cryptographers have invented many different types of encryption. The PIs' research brings many of these under one umbrella, thereby reconceptualizing the landscape of modern cryptography. In the process, the research puts forward some entirely new kinds of encryption. The work is motivated by the needs of existing security practice. Sample questions include how to save space when storing encrypted copies of the same material in the cloud, and how to encrypt a credit-card number by reimagining the process as the shuffling of a deck of cards.