Richard Shore

Template:Infobox scientist Richard A. Shore 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 ${\mathcal {D}}$.

In 2012 he became a fellow of the American Mathematical Society.

External links

• Cornell Math - Richard A. Shore.

• Richard Shore at the Mathematics Genealogy Project

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