Richard Shore

Richard A. Shore
Born August 18, 1946 (1946-08-18) (age 72)
Citizenship US
Alma mater MIT
Scientific career
Fields Mathematics
Institutions Cornell University
Thesis Priority Arguments in Alpha-Recursion Theory
Doctoral advisor Gerald E. Sacks

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]

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]

References

  1. ↑ Shore, R.A. (1979). "The homogeneity conjecture". Proceedings of the National Academy of Sciences of the United States of America. 76 (9): 4218–4219. doi:10.1073/pnas.76.9.4218. JSTOR 70054. PMC 411543. PMID 16592707.
  2. ↑ Shore, R.A.; Slaman, T.A. (1999). "Defining the Turing jump" (PDF). Math. Res. Lett. 6 (5–6): 711–722. Archived from the original (PDF) on 2008-07-09. Retrieved 2008-07-14.
  3. ↑ Gödel Lectures, Association for Symbolic Logic
  4. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-07-18.


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