
I did 250 interviews at Google and I’m a member of a hiring committee.
I interviewed once a professor, who taught a course on algorithms and data structures. He was great at basic questions (check height 0f a binary tree) but the moment we went into something that wasn’t a trivial direct application of his knowledge, he failed. He couldn’t come up with a rather straightforward algorithm (a fairly trivial modification of DFS), let alone write code for it on the whiteboard.
I won’t name him or the university. You’d recognize the university instantly, and his name possibly if you attended certain conferences.
It’s possible that he just had a bad day or was really stressed, but he ended up not getting hired. I’m not sure if he tried again later or gave up.
Bottom line: no, not every professor can pass an interview at Google. At least not on every try =)
Updates in response to some comments: