Hi here!
All Crypto will be lattice based. You can read about falcon
https://falcon-sign.info/, that is main signature algo.
Another futures is mining and block hashing, will be swifftx you can read here
https://en.wikipedia.org/wiki/SWIFFT, that is A modification of SWIFFT called SWIFFTX was proposed as a candidate for SHA-3 function to the NIST hash function competition.
So, network is another lattice based function Newhope (CECPQ1) you can read here
https://en.wikipedia.org/wiki/CECPQ1.
Testnet now launched in test mode. Transaction working, mining working, but we still need little time for cosmetic fixs.
PS. miniroadmap: Supporting messages sending, multisignature.
Stay tunned in our discord

best regards , ASTC info team.