His diagrams map regions around a singularity, and with Stuart Hameroff, he formulated a theory of consciousness based on quantum computing that is espoused in The Emperor's New Mind.  
He expanded upon E.H. Moore's generalized matrix inverse, so the pseudo-inverse is named for Moore and this man. He devised a way to map objects from Minkowski space to one with metric signature (2,2) in his twistor theory, and he formulated both a weak and strong version of the censorship hypothesis. His diagrams map regions around a singularity, and with Stuart Hameroff, he formulated a theory of consciousness based on quantum computing that is espoused in The Emperor's New Mind.  For 10 points, identify this Briton whose "tiles" cover a plane aperiodically and whose "process" extracts energy from the ergosphere around a black hole.
He expanded upon E.H. Moore's generalized matrix inverse, so the pseudo-inverse is named for Moore and this man.
Sir Roger Penrose