A Decade (or so) of fully homomorphic encryption, by Craig Gentry

Invited talk by Craig Gentry, presented at Eurocrypt 2021
Abstract: This talk is about the past, present and future of fully homomorphic encryption. I will try to convince you that, over the last decade (or so), FHE has made an amazing transformation from proof of concept to a tool that is actually practical and usable. I will review a few homomorphic encryptions schemes (including non-fully homomorphic ones) to demonstrate commonalities in how we start from a homomorphism, and use masking techniques to defeat common attacks (especially linear algebra) on the homomorphism, to obtain semantically secure homomorphic encryption. And, finally, I will try to delineate the search space for fundamentally new FHE schemes that fall outside of the current framework.