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2013-06-18T16:14:39Z

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'''Steve Jackson''' (full name: '''Stephen Craig Jackson''') is a [[set theory|set theorist]] at [[University of North Texas]]. Much of his most notable work has involved the [[descriptive set theory|descriptive set-theoretic]] consequences of the [[axiom of determinacy]]. In particular he is known for having calculated the values of all the projective ordinals (the [[suprema]] of the lengths of all [[prewellordering]]s of the reals at a particular level in the [[projective hierarchy]]) under the assumption that the axiom of determinacy holds.

In recent years he has also made contributions to the theory of [[Borel equivalence relation]]s. With [[Dan Mauldin]] he solved the [[Steinhaus lattice problem]].

Jackson earned his [[Ph.D.]] in 1983 at [[UCLA]] under the direction of [[Donald A. Martin]], with a [[dissertation]] on ''A Calculation of'' '''δ'''<sup>1</sup><sub>5</sub>. In it, he proved that, under AD,
<center><math>\mathbf{\delta^1_5}=\aleph_{\omega^{\omega^{\omega}}+1}</math></center>
thereby solving the first Victoria Delfino problem, one of the notorious problems of the combinatorics of the [[axiom of determinacy]].

==External links==
* [http://www.math.unt.edu/~sjackson/some_papers.html List of papers published by Steve Jackson]
* {{MathGenealogy|id=14679|name=Steve Jackson}}

{{Persondata 
| NAME = Jackson, Steve
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = American mathematician
| DATE OF BIRTH =
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}}

{{DEFAULTSORT:Jackson, Steve}}
[[Category:University of California, Los Angeles alumni]]
[[Category:University of North Texas faculty]]
[[Category:American mathematicians]]
[[Category:20th-century mathematicians]]
[[Category:21st-century mathematicians]]
[[Category:Living people]]
[[Category:Year of birth missing (living people)]]

{{US-mathematician-stub}}

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