With Ward, this man names a transformation on holomorphic vector bundles to solutions of the Yang-Mills equations, and alongside Edward Witten, he attempted to construct a theory of quantum gravity by connecting string theory's S-matrices to his own twistors. Popularly, he is more notable for a non-algorithmic quantum theory of consciousness, which he expounded on in The Emperor's New Mind as well as an invention of his that exhibits fivefold rotational symmetry, an aperiodic tiling system that bears his name. For 10 points, name this British mathematical physicist and all-around awesome scientist, best known for his 
With Ward, this man names a transformation on holomorphic vector bundles to solutions of the Yang-Mills equations, and alongside Edward Witten, he attempted to construct a theory of quantum gravity by connecting string theory's S-matrices to his own twistors. Popularly, he is more notable for a non-algorithmic quantum theory of consciousness, which he expounded on in The Emperor's New Mind as well as an invention of his that exhibits fivefold rotational symmetry, an aperiodic tiling system that bears his name. For 10 points, name this British mathematical physicist and all-around awesome scientist, best known for his work on black holes with Stephen Hawking.
With Ward, this man names a transformation on holomorphic vector bundles to solutions of the Yang-Mills equations, and alongside Edward Witten, he attempted to construct a theory of quantum gravity by connecting string theory's S-matrices to his own twistors.
Roger Penrose