Dean's Distinguished Lecture Series, featuring Jill Pipher, Vice President for Research at Brown University, Elisha Benjamin Andrews Professor of Mathematics, and 2019 President of the American Mathematical Society. Followed by a light reception in the SERC lobby. Please RSVP to firstname.lastname@example.org.
This lecture will provide some historical background on the subject of private and public key, encryption and explain some of the ideas involved in several different encryption systems. Particular attention will be focused on lattiice-based encryption schemes such as NTRU, an efficient public key system due to Hoffstein, Pipher, and Silverman, first disseminated in 1996, which continues to remain secure against the potential speed-ups of quantum computers. In the last couple of years, national agencies and large financial institutions have recognized the urgent need for post-quantum cryptography; NIST has initiated a process to solicit, evaluate, and standardize one or more quantum-resistant public-key cryptographic algorithms. We will indicate some of the applications of lattice-based cryptosystems like NTRU to post-quantum computing and to cloud computing on private data.