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Does Jane Street and similar firms hire Math or CS PhDs with backgrounds in theory?

ZX-calculus is a rigorous graphical language that has applications in quantum circuits.

Here are some other applications. Look at: http://zxcalculus.com/ & https://www.youtube.com/watch?v=iC-KVdB8pf0

Category theory has found application in quantum theory: http://zxcalculus.com/

Do interviews tend to include system design, if the applicant doesn't have industry experience? Been curious about this too: do FAANG companies hire, say, professors with strong re…

Can anyone describe what the research scientist interviews are like in a FAANG company? How are they similar or different than the SWE interviews?

You may be interested in Paul Tough’s “The Years That Matter Most: How College Makes or Breaks Us”. Tough makes similar points like this throughout the book.

Some data on the economic background of MIT students: https://www.nytimes.com/interactive/projects/college-mobilit...