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Steven Paul Kerckhoff (born 1952) is a
Excerpt from this book
to California State Curriculum Commission and California State Board of Education, dated November 21, 2000
Steven Paul Kerckhoff (born 1952) is a professor
Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...
of mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
at Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
, who works on hyperbolic 3-manifolds and Teichmüller space
In mathematics, the Teichmüller space T(S) of a (real) topological (or differential) surface S, is a space that parametrizes complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism. Teichmülle ...
s.
He received his Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...
in mathematics from Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
in 1978, under the direction of William Thurston
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds.
Thurston ...
. Among his most famous results is his resolution of the Nielsen realization problem
The Nielsen realization problem is a question asked by about whether finite subgroups of mapping class groups can act on surfaces, that was answered positively by .
Statement
Given an oriented surface, we can divide the group Diff(''S''), the gr ...
, a 1932 conjecture by Jakob Nielsen Jacob or Jakob Nielsen may refer to:
* Jacob Nielsen, Count of Halland (died c. 1309), great grandson of Valdemar II of Denmark
* , Norway (1768-1822)
* Jakob Nielsen (mathematician) (1890–1959), Danish mathematician known for work on automorphi ...
. 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
Craig Hodgson (8 July 1968 - 30 September 1998) was an international speedway rider from Australia.
Speedway career
Hodgson won the bronze medal at the Australian National Championships. The following year in 1989 he became the Australian J ...
) in exploring and clarifying Thurston's hyperbolic Dehn surgery In mathematics, hyperbolic Dehn surgery is an operation by which one can obtain further hyperbolic 3-manifolds from a given cusped hyperbolic 3-manifold. Hyperbolic Dehn surgery exists only in dimension three and is one which distinguishes hyperb ...
.
Kerckhoff is one of four academics from Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
, along with Gunnar Carlsson
Gunnar E. Carlsson (born August 22, 1952 in Stockholm, Sweden) is an American mathematician, working in algebraic topology. He is known for his work on the Segal conjecture, and for his work on applied algebraic topology, especially topological ...
, Ralph Cohen
Ralph Louis Cohen (born 1952) is an American mathematician, specializing in algebraic topology and differential topology.
Career
Cohen received his bachelor's degree from the University of Michigan in 1973 and his Ph.D. in 1978 from Brandeis Uni ...
, and R. James Milgram
Richard James Milgram (born 5 December 1939 in South Bend, Indiana) is an American mathematician, specializing in algebraic topology. He is the son of mathematician Arthur Milgram.
Biography
Milgram graduated from the University of Chicago with a ...
, who were instrumental in developing the controversial California Mathematics Academic Content Standards for the State Board of Education.
Selected publications
* * Kerckhoff, Steven P.; Thurston, William P., ''Noncontinuity of the action of the modular group at Bers' boundary of Teichmüller space.''Inventiones Mathematicae
''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...
100 (1990), no. 1, 25–47.
* Kerckhoff, Steven; Masur, Howard; Smillie, John, ''Ergodicity of billiard flows and quadratic differentials.'' Annals of Mathematics
The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study.
History
The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...
(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.
* Hodgson, Craig D.; Kerckhoff, Steven P., ''Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery.'' Journal of Differential Geometry
The ''Journal of Differential Geometry'' is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book ...
48 (1998), no. 1, 1–59.
References
* ''Big Business, Race, and Gender in Mathematics Reform'', by Steven Krantz (). *Excerpt from this book
to California State Curriculum Commission and California State Board of Education, dated November 21, 2000
External links
* {{DEFAULTSORT:Kerckhoff, Steven Topologists Geometers Princeton University alumni Stanford University Department of Mathematics faculty 1952 births Living people 20th-century American mathematicians 21st-century American mathematicians