1) Dr. Rafael G. González-Acuña's analytical solution on the Wasserman-Wolf problem
TLDR: We can now make lenses in any shape we please, not just with parabolas and circles (kinda).
Should have implications for anything that has to do with light: Telescopes, lasers, com-sats, AR/VR, etc.
https://gizmodo.com/a-mexican-physicist-solved-a-2-000-year-...
2) Memristors. We've not found a cheap and stable little component yet like the rest of the 2-lead elements, but it seems to be on the way (says every futurist)
TLDR: We'll be forced to re-do a lot of computer HW as the memristive ones will be (likely) much faster and cheaper on power. Think coin-cell batteries powering very good image recognition systems cheap as a dollar-store watch.
https://en.wikipedia.org/wiki/Memristor