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 $\backslash mathcal\{D\}$, 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 $\backslash mathcal\{D\}\_a$ and $\backslash mathcal\{D\}\_b$, 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 $\backslash mathcal\{D\}$. Provided by Wikipedia