Richard Arnold Shore (born August 18, 1946) is a professor of mathematics at Cornell University who works in recursion theory. He is particularly known for his work on , the partial order of the Turing degrees. * Shore settled the Rogers homogeneity conjecture by showing that there are Turing degrees and such that and , the structures of the degrees above and respectively, are not isomorphic. * In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in .