Steven Kerckhoff Stanford September 2010

Steven Paul Kerckhoff (born 1952) is a

professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other tertiary education, post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin ...

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

, who works on

hyperbolic 3-manifold In mathematics, more precisely in topology and differential geometry, a hyperbolic 3-manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to −1. It ...

s 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. in mathematics from

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

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. Thurst ...

. 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 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 hyperbol ...

. Kerckhoff is one of four academics from

, 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 d ...

, Ralph Cohen, 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 (2023) managing ...

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 t ...

(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 California () is a U.S. state, state in the Western United States that lies on the West Coast of the United States, Pacific Coast. It borders Oregon to the north, Nevada and Arizona to the east, and shares Mexico–United States border, an ...

and

California State Board of Education The California State Board of Education is the governing and policy-making body of the California Department of Education. The State Board of Education sets K-12 education policy in the areas of standards, instructional materials, assessment, an ...

, dated November 21, 2000

External links

* {{DEFAULTSORT:Kerckhoff, Steven American topologists American geometers Princeton University alumni Stanford University Department of Mathematics faculty 1952 births Living people 20th-century American mathematicians 21st-century American mathematicians