Jeff Cheeger

Jeff Cheeger

Infobox_Scientist
name = Jeff Cheeger


caption =
birth_date = birth date|1943|12|1|df=y
birth_place = Brooklyn, U.S.
death_date =
death_place =
residence = U.S.
nationality = American
field = Mathematician
work_institution = New York University
alma_mater = Harvard (B.A.) Princeton (M.S., Ph.D)
doctoral_advisor = Salomon Bochner
doctoral_students = Arthur Chou
Xian-Zhe Dai
Aparna Dar
Yu Ding
Douglas Elerath
Harvey Hensley
Zhong-dong Liu
Ping-Ching Lue
Alireza Ranjbar-Motlagh
Xiaochun Rong
Christina Sormani
DaGang Yang
Shun-Hui Zhu
known_for = Differential geometry
prizes = Guggenheim Fellowship(1984)
NAS member (1997)
Veblen Prize (2001)

religion =
footnotes =

Jeff Cheeger (b. December 1, 1943, Brooklyn, New York City), is a mathematician. Cheeger is professor at the Courant Institute of Mathematical Sciences at New York University in New York City. His main interests are differential geometry and its applications to topology and analysis.

Biography

He graduated from Harvard University with a B.A. in 1964. He graduated from Princeton University with an M.S. in 1966 and with a Ph.D. in 1967.

He worked as a teaching assistant and research assistant at Princeton from 1966-1967. He was an N.S.F. Postdoctoral Fellow and Instructor from 1967-1968. He was an assistant professor from 1968 to 1969 at the University of Michigan. He was an associate professor from 1969-1971 at SUNY at Stony Brook. Cheeger was also a professor at SUNY from 1971 to 1985. He was a leading professor from 1985 to 1992. He was a distingiushed professor at SUNY from 1990 until 1992. Cheeger is a Silver Professor at CIMS, NYU.

Professor Cheeger has also had a number of visiting positions in Brazil (1971), the Institute for Advanced Study (1972, 1977, 1978, 1995), Harvard University (1972), the Institut des Hautes Études Scientifiques (1984-1985) and the Mathematical Sciences Research Institute (1985).

Professor Cheeger has supervised at least 13 doctoral theses and three postdocs. He has served as a member of several AMS committees and NSF panels.

Jeff Cheeger delivered Invited Addresses at the International Congress of Mathematicians in 1974 and in 1986.

Cheeger received the Guggenheim Fellowship in 1984. [ [http://www.gf.org/84fellow.html 1984 U.S. and Canadian Fellows.] John Simon Guggenheim Memorial Foundation. Accessed August 11, 2008] In 1998 Jeff Cheeger was elected a foreign member of the Finnish Academy of Science and Letters. [ [http://www.acadsci.fi/jasenet/ulkomaiset_jasenet.htm Foreign Members.] Finnish Academy of Science and Letters. Accessed August 11, 2008.]

Jeff Cheeger was elected a member of the United States National Academy of Sciences in 1997. [ [http://www.nasonline.org/site/Dir/1396514003?pg=vprof&mbr=1002138&returl=http%3A%2F%2Fwww.nasonline.org%2Fsite%2FDir%2F1396514003%3Fpg%3Dsrch%26view%3Dbasic&retmk=search_again_link NAS Membership Directory.] United States National Academy of Sciences. Accessed August 11, 2008. Election citation:"Cheeger has discovered many of the deepest results in Riemannian geometry, such as estimates for the spectrum of the Laplace-Beltrami operator, and the identity of the analytic and geometric definitions of torsion, and has led to the solution of problems in topology, graph theory, number theory, and Markov processes."] He received the Fourteenth Oswald Veblen Prize in Geometry from the American Mathematical Society in 2001. [ [http://ams.org/notices/200104/comm-veblen.pdf Fourteenth Veblen Prize, 2001.] American Mathematical Society. Accessed August 11, 2008.]

elected publications

* Cheeger, Jeff; Ebin, David G.: Comparison theorems in Riemannian geometry. Revised reprint of the 1975 original. AMS Chelsea Publishing, Providence, RI, 2008.

See also

* Cheeger bound
* Cheeger constant
* soul theorem
* splitting theorem
* Collapsing manifold

References

External links

* [http://silverdialogues.fas.nyu.edu/docs/CP/295/cheeger.pdf#search=%22jeff%20cheeger%22 CV]
* [http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=7603 Math genealogy project]


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