Tripti Joshi (Editor)

Richard Shore

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Citizenship
  
United States

Fields
  
Mathematics

Name
  
Richard Shore


Alma mater
  
MIT

Institutions
  
Cornell University

Doctoral advisor
  
Gerald Sacks

Richard Shore httpsuploadwikimediaorgwikipediacommonsthu

Thesis
  
Priority Arguments in Alpha-Recursion Theory

Education
  
Massachusetts Institute of Technology

Books
  
Above Center of Mass Command

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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 D , the partial order of the Turing degrees.

Contents

Richard Shore httpsuploadwikimediaorgwikipediacommonscc

  • Shore settled the Rogers Homogeneity Conjecture by showing that there are Turing degrees a and b such that D a and 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 D .
  • 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). 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.

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    References

    Richard Shore Wikipedia