- 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 SormaniDaGang 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 amathematician . Cheeger isprofessor at the Courant Institute of Mathematical Sciences atNew York University inNew York City . His main interests aredifferential geometry and its applications totopology and analysis.Biography
He graduated from
Harvard University with aB.A. in 1964. He graduated fromPrinceton University with anM.S. in 1966 and with aPh.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 atSUNY atStony 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), theInstitute for Advanced Study (1972, 1977, 1978, 1995), Harvard University (1972), theInstitut des Hautes Études Scientifiques (1984-1985) and theMathematical 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 . AccessedAugust 11 ,2008 ] In 1998 Jeff Cheeger was elected a foreign member of theFinnish Academy of Science and Letters . [ [http://www.acadsci.fi/jasenet/ulkomaiset_jasenet.htm Foreign Members.]Finnish Academy of Science and Letters . AccessedAugust 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 . AccessedAugust 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 FourteenthOswald Veblen Prize in Geometry from theAmerican Mathematical Society in 2001. [ [http://ams.org/notices/200104/comm-veblen.pdf Fourteenth Veblen Prize, 2001.]American Mathematical Society . AccessedAugust 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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