Key agreement, the Algebraic Eraser \rm TM and lightweight cryptography ; Designing key transport protocols using combinatorial group theory ; Geometric key establishment ; Using shifted conjugacy in braidbased cryptography ; Lengthbased conjugacy search in the braid group ; Towards provable security for cryptographic constructions arising from combinatorial group theory ; Constructions in publickey cryptography over matrix groups ; A practical attack on the root problem in braid groups ; An attack on a groupbased cryptographic scheme ; Algebraic problems in symmetric cryptography: two recent results on highly nonlinear functions ; Inverting the Burau and LawrenceKrammer representations ; A new key exchange protocol based on the decomposition problem ; Using the subgroup membership search problem in public key cryptography Iris Anshel Michael Anshel Dorian Goldfeld and Stephane Lemieux ; G Baumslag T Camps B Fine G Rosenberger and X Xu ; Arkady Berenstein and Leon Chernyak ; Patrick Dehornoy ; David Garber Shmuel Kaplan Mina Teicher Boaz Tsaban and Uzi Vishne ; Maria Isabel Gonzalez Vasco Rainer Steinwandt and Jorge L Villar ; Dima Grigoriev and Ilia Ponomarenko ; Anja Groch Dennis Hofheinz and Rainer Steinwandt ; Dennis Hofheinz and Dominique Unruh ; Nils Gregor Leander ; Eonkyung Lee ; Vladimir Shpilrain and Alexander Ushakov ; Vladimir Shpilrain and Gabriel Zapata