Steven Kerckhoff

Updated on Oct 27, 2023

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Name Steven Kerckhoff Role Professor of mathematics		Education Princeton University

Steven Paul Kerckhoff (born 1952) is a professor of mathematics at Stanford University, who works on hyperbolic 3-manifolds and Teichmüller spaces.

Steven Kerckhoff Stanford Department of Mathematics People Steven Kerckhoff People

He received his Ph.D. in mathematics from Princeton University in 1978, under the direction of William Thurston. Among his most famous results is his resolution of the Nielsen realization problem, a 1932 conjecture by Jakob Nielsen. Along with William 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 with Craig Hodgson) in exploring and clarifying Thurston's hyperbolic Dehn surgery.

Kerckhoff is one of four academics from Stanford University, along with Gunnar Carlsson, Ralph Cohen, and James Milgram, who were instrumental in developing the controversial California Mathematics Academic Content Standards for the State Board of Education.

Selected 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

Steven Kerckhoff Wikipedia

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