This is ongoing, and Microsoft and Google continued browser experiments with another algorithm (paper titled "Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE") https://eprint.iacr.org/2016/659 - you can also see a recent video from DEF CON https://www.youtube.com/watch?v=SCdaYAFx7hw

In both cases, they are using a type of lattice-based cryptography known as LWE (learning with errors).