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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 research records, but poor coding skills? I always wondered if everyone on these sort of team were all solid coders, or if there were people there that are exceptions.

Based on your experience do FAANG companies tend to be invested in basic research, or more product focused research?

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...