I want a lab, someone who knows safety so I don't kill myself, and a budget.
As others have said, I'm not extremely qualified in anything, but I'm willing to learn, and already know a lot of odd things.
I can fix ANYTHING if given a sufficient time and budget.
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[Edit]
A list of specific projects I'd like to work on
build a machine to mine the moon or mars, and replicate itself, or build a bigger version
Evangelize Capability Based Security/Multilevel Secure Systems so we can get back to actually owning our own general purpose computers.
Document the shit out of the libraries for Free Pascal/Lazarus, there should be a working code example for each and every unit, object, function, procedure, property, etc.
Set up, document, and popularize a second separate non-overlapping supply chain for civilization. Document the process, to help make humanity more antifragile.
Build a machine shop from scratch, and figure out how to offer a parts kit with castings that anyone could purchase and build as well.
Put an optical lattice clock at the top and bottom of a mineshaft, and verify relativity below the surface of the earth (as near as I can tell, the experiment hasn't been done yet)
Help find innovative ways to use free energy technologies the government has been hiding for decades.
Develop technology to stop those little drones from harassing our ships at sea.
Build a magnetic core based computer capable of operating on the surface of Venus.
Help transition Bitcoin to proof of stake instead of proof of work.
It was in a private research lab, I had all the hardware I wanted (laptops, desktops, servers, RPis, Arduinos, STM32s, etc..)
My manager was very knowledgeable but respected my individuality and what I can bring to the table. My tasks were specific enough that I never was lost, but vague enough so it didn't become boring. Ended up doing a bit of crypto, a bit of web, a bit of embedded systems and it was a blast.
Best of all, the project was not thrown out of the window when I finished; The following year a student reached-out to let me know they're continuing on what I had setup.
A great ego boost for a fresh grad.
Or Boston Dynamics.
Or using AI to generate stories / NPC dialogue for games.
Since this is my 'dream internship', I would also want to travel lots. Like checkout all the offices across the US so I can pick where to live after I'm brought on full time.
Also lots of public recognition.
Other than that, maybe Blizzard or some volunteer thing like as a zookeeper or trail maintainer. or just somewhere where I can contribute to something tangible. or a place that's in total chaos.
Edit: The MET centre in England would be cool