Candidate Multilinear Maps

Sanjam Garg grew up in royal Patiala, a beautiful city in southeastern Punjab, India. Growing up, even though he wasn't good at it, he enjoyed playing cricket with his friends. He was also remarkably curious about everything and this curiosity led him to the Indian Institute of Technology Delhi where he started studying cryptography by mistake. One mistake led to another and ultimately leading to a disaster - he ended up getting a doctoral degree from University of California, Los Angeles. During his graduate study he pondered over the lesser important questions in cryptography and the more important questions about life, making some progress on the former but none whatsoever on the latter. Unfettered, he marches on!

Introduction
Survey of Applications
Multilinear Maps and Graded Encoding Systems
Preliminaries I: Lattices
Preliminaries II: Algebraic Number Theory Background
The New Encoding Schemes
Security of Our Constructions
Preliminaries III: Computation in a Number Field
Survey of Lattice Cryptanalysis
One-Round Key Exchange
Generalizing Graded Encoding Systems
Bibliography
Author's Biography