Mathematical Limits of Lattices in Cryptography

Nearly all of public-key cryptography relies on the assumed difficulty of solving various number-theoretic problems. Recent spectacular developments in cryptography such as fully homomorphic encryption, candidate multilinear maps, and efficient post-quantum lattice-based cryptography have produced a multitude of new algebraic and number-theoretic cryptographic hardness assumptions. Many of these problems are Read more…

Theory and Practice of Differential Privacy

Large, diverse datasets hold tremendous promise, if only we can derive statistical insights from them. But often, these datasets are siloed and withheld, because of privacy concerns. Differential privacy can mitigate these concerns — it provides a strong, attractive privacy guarantee that protects data owners from risks associated disclosure of Read more…