Proof of stake is a application not computer science. What fundamental new knowledge into computing are you thinking about attributing?
BLS was invented back in 2001, but was expensive to verify. A paper published in 2018 showed how to verify n aggregated signatures on the same message m with just 2 pairings instead of n+1.
https://ethresear.ch/t/pragmatic-signature-aggregation-with-...
I will gladly give a Turing award to whoever formally proves the safety and liveness of Gasper like Lamport did for Paxos.