If this summary is correct, they seem to have deserved their PhD in the sense that they managed to bluff their way through it. A bit like getting the gold medal for a marathon as a consolation price when you've managed to do just 10 metres of it (on a unicycle, for reasons unclear to anyone observing).
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Another commenter posted this link about their academic endeavours:
https://math.ucr.edu/home/baez/bogdanoff/
If this summary is correct, they seem to have deserved their PhD in the sense that they managed to bluff their way through it. A bit like getting the gold medal for a marathon as a consolation price when you've managed to do just 10 metres of it (on a unicycle, for reasons unclear to anyone observing).