Richard Shore

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 \mathcal{D}, the partial order of the Turing degrees.

* Shore settled the Rogers homogeneity conjecture by showing that there are Turing degrees a and b such that \mathcal{D}_a and \mathcal{D}_b, the structures of the degrees above a and b respectively, are not isomorphic. * In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in \mathcal{D}. Provided by Wikipedia

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