Two words: baseband processor.
The world really, really needs a fully open baseband processor.
If someone wants to apply with an open baseband processor startup, applications are due Oct 13!
My feeling is that the software to accomplish this is already largely there, but the hard part of getting a design to the fab and actually getting anyone to adopt it isn't.
I think there would also be a number of regulatory hurdles to cross, since this would end up being essentially an SDR, and the FCC (for example) already seems to fear wide public availability for those.
But yes, an open processor could help with a lot of open networking problems, even though it seems more like an engineering matter than research per se.
We have OsmocomBB, but it's limited to the 2G standard and comes with a ton of usage caveats pertaining to regulatory compliance and legality.
But of course this is just my useless speculation :)
[1] http://blog.samaltman.com/machine-intelligence-part-1
[2] https://intelligence.org/donate/
(As often times the quality of research output is hard to gauge immediately without the greater context of time passing)