Richard Shore

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name = Richard A. Shore
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citizenship = USA
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field = Mathematics
work_institutions = Cornell University
alma_mater = MIT
doctoral_advisor = Gerald E. Sacks
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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.cite journal
author = Shore, R.A.
year = 1979
title = The homogeneity conjecture
journal = Proceedings of the National Academy of Sciences of the United States of America
volume = 76
issue = 9
pages = 4218-4219
url = http://links.jstor.org/sici?sici=0027-8424(197909)76%3A9%3C4218%3ATHC%3E2.0.CO%3B2-%23
accessdate = 2008-07-14]
* In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in $mathcal\{D\}$.cite journal
author = Shore, R.A.
coauthors = Slaman, T.A.
year = 1999
title = Defining the Turing jump
journal = Math. Res. Lett
volume = 6
issue = 5-6
pages = 711-722
url = http://www.mrlonline.org/mrl/1999-006-006/1999-006-006-010.pdf
accessdate = 2008-07-14]

References

External links

* [http://www.math.cornell.edu/People/Faculty/shore.html Cornell Math - Richard A. Shore] .

*MathGenealogy |id=34190