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Richard Shore

American mathematician (born 1946) From Wikipedia, the free encyclopedia

Richard Shore
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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.[1]
  • In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in .[2]
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Career

He was, in 1983, an invited speaker at the International Congress of Mathematicians in Warsaw and gave a talk The Degrees of Unsolvability: the Ordering of Functions by Relative Computability. In 2009, he was the Gödel Lecturer (Reverse mathematics: the playground of logic).[3] He was an editor from 1984 to 1993 of the Journal of Symbolic Logic and from 1993 to 2000 of the Bulletin of Symbolic Logic. In 2012, he became a fellow of the American Mathematical Society.[4]

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References

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