Speaker: Kristin Lauter (Microsoft Research)
Title: How to Keep your Secrets in a Post-Quantum World
Date: Thursday, May 17, 2018
Time: 3:30-4:30 p.m.
Place: HP 4351 (MacPhail Room) Carleton University
ABSTRACT: This talk will give an overview of the history of various hard problems in number theory which are used as the basis for cryptosystems. I will survey the evolution of attacks and discuss the ongoing NIST competition to standardize new cryptographic schemes for a post-quantum world. I will present some current proposals for post-quantum systems based on supersingular isogeny graphs of elliptic curves and lattice-based cryptosystems in cyclotomic number fields. Supersingular Isogeny Graphs were proposed for use in Cryptography in 2006 by Charles-Goren-Lauter, and are currently being considered as candidates for standardization in several tracks of the 2017 NIST Post-Quantum Cryptography International Competition. These are Ramanujan graphs whose nodes are supersingular elliptic curves and edges are isogenies between them.
Kristin Lauter is a mathematician and cryptographer. She is the head of the Cryptography Group at Microsoft Research.
Her research interests are in the theory and applications of number theory and algebraic geometry to cryptography.
Kristin is internationally recognized for her work in elliptic curve cryptography. She is a Fellow of the American Mathematical Society, and was President of the Association for Women in Mathematics (2015 – 2017). She serves on the Advisory Board of the Banff International Research Station and on the Council of the American Mathematical Society