- Steven Kerckhoff
Steven Paul Kerckhoff (born 1952) is a
professor ofmathematics atStanford University , who works onhyperbolic 3-manifold s andTeichmüller space s.He received his
Ph.D. in mathematics fromPrinceton University in 1978, under the direction ofWilliam Thurston . Among his most famous results is his resolution of theNielsen realization problem , a 1932 conjecture by Jakob Nielsen. Along withWilliam J. Floyd , he wrote large parts of Thurston's influential Princeton lecture notes, and he is well known for his work (some of which is joint withCraig Hodgson ) in exploring and clarifying Thurston'shyperbolic Dehn surgery .Kerckhoff is one of four academics from
Stanford University , along withGunnar Carlsson ,Ralph Cohen , andJames Milgram , who were instrumental in developing the controversial California Mathematics Academic Content Standards for the State Board of Education.elected publications
* Kerckhoff, Steven P., The Nielsen realization problem. "
Annals of Mathematics " (second series) 117(2):235–265, 1983.
* Kerckhoff, Steven P.; Thurston, William P., "Noncontinuity of the action of the modular group at Bers' boundary of Teichmüller space." Invent. Math. 100 (1990), no. 1, 25–47.
* Kerckhoff, Steven; Masur, Howard; Smillie, John, "Ergodicity of billiard flows and quadratic differentials." Ann. of Math. (2) 124 (1986), no. 2, 293–311.
* Cooper, Daryl; Hodgson, Craig D.; Kerckhoff, Steven P. "Three-dimensional orbifolds and cone-manifolds." With a postface by Sadayoshi Kojima. MSJ Memoirs, 5. Mathematical Society of Japan, Tokyo, 2000. x+170 pp. ISBN 4-931469-05-1
* Hodgson, Craig D.; Kerckhoff, Steven P., "Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery." J. Differential Geom. 48 (1998), no. 1, 1–59.References
* "Big Business, Race, and Gender in Mathematics Reform", by Steven Krantz (ISBN 0-8218-1398-6).
** [http://www.csun.edu/~vcmth00m/krantz.html Excerpt from this book] .
* [http://www.csun.edu/~vcmth00m/skills.html Letter from Kerckhoff, Wayne Bishop, Jane Friedman, and Yat-Sun Poon] , toCalifornia State Curriculum Commission andCalifornia State Board of Education , datedNovember 21 ,2000 External links
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