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This workshop, sponsored by AIM, the Alfred P. Sloan Foundation, and the NSF, will be devoted to the problem of constructing secure and efficient cryptographic multilinear maps. Cryptographic multilinear maps are a powerful tool in cryptography. They solve many long-standing open problems in cryptography and computer security that currently cannot be solved any other way. Unfortunately, all known constructions are extremely inefficient and have been shown to be insecure for some applications. The aim of this workshop is to make full use of advanced mathematical ideas, including those coming from algebraic geometry, number theory, or topology, in order to make progress on this problem and show the way towards satisfactory solutions. The plan is for the working groups to have a mixture of expertise from mathematics and computer science, and also from the cryptographic and cryptanalytic sides, to make sure that proposed solutions survive the tests of being both efficient and secure.