Since a lot of people are interested in fully homomorphic encryption (FHE) recently, re-upping my article from 2020 that goes into how the math works in depth:

https://vitalik.eth.limo/general/2020/07/20/homomorphic.html

This is worth a read if you can be patient and read the math. FHE is going to unlock a new era of information, much as the Internet and PGP did.

Head of Engineering at Courtyard.io, bringing physical collectibles onchain. nf.td/joe /courtyard /backend

Principal at Cobalt Ventures. Write @ TheItinerant.io ; BenErsing.com Host: /venturecapital /finance /adventures

The ability to perform arbitrary computation without seeing the data itself can unlock interesting things. In your area of expertise, e.g. imagine being able to encrypt some health data like an MRI, send it to an AI model, and get inferences back without the model owner ever seeing the data.