Siddhesh Joshi (Editor)

Jeff Cheeger

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Nationality
  
American

Role
  
Mathematician


Name
  
Jeff Cheeger

Alma mater
  
HarvardPrinceton

Fields
  
Mathematician

Jeff Cheeger httpspeoplemathosuedueventscheegerJCheeg

Born
  
1 December 1943 (age 80) Brooklyn, U.S. (
1943-12-01
)

Institutions
  
New York UniversityStony Brook UniversityUniversity of Michigan

Doctoral advisor
  
Salomon BochnerJames Harris Simons

Doctoral students
  
Xian-Zhe DaiXiaochun RongChristina SormaniDaGang YangShun-Hui Zhu

Known for
  
Riemannian geometry Metric Geometry

Books
  
Comparison theorems in Riemannian geometry

Awards
  
Guggenheim Fellowship for Natural Sciences, US & Canada

People also search for
  
Salomon Bochner, Karsten Grove

Residence
  
United States of America

Jeff CHEEGER - Noncollapsed Gromov - Hausdorff limit spaces with Ricci curvature bounded below


The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]


Jeff Cheeger (born 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 connections with topology and analysis.

Contents

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 is a Silver Professor at the Courant Institute at NYU where he has worked since 1993.

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

Cheeger has also had a number of visiting positions in Brazil (1971), at 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).

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

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

He received the Guggenheim Fellowship in 1984. In 1998 Cheeger was elected a foreign member of the Finnish Academy of Science and Letters.

Cheeger was elected a member of the United States National Academy of Sciences in 1997. He received the Fourteenth Oswald Veblen Prize in Geometry from the American Mathematical Society in 2001.

Honors and awards

  • Fellow of the American Mathematical Society, 2012
  • Oswald Veblen Prize in Geometry, 2001
  • United States National Academy of Sciences, elected 1997
  • Max Planck Research Award, Alexander von Humboldt Society, 1992–1994
  • Guggenheim fellowship, 1984–1985
  • Invited Address, Annual Meeting of AMS, 1978
  • International Congress of Mathematicians, 1974 and 1986
  • Sloan Fellowship, 1971–1973
  • National Science Foundation Postdoctoral Fellow, 1967-1968
  • Selected publications

  • Cheeger, Jeff; Kleiner, Bruce. On the differentiability of Lipschitz maps from metric measure spaces to Banach spaces. Inspired by S. S. Chern, 129–152, Nankai Tracts kn Mathematics. 11, World Science Publications, Hackensack, N.J., 2006.
  • Differentiability of Lipschitz functions on metric measure spaces. Geometric and Functional Analysis. 9 (1999), no. 3, 428–517.
  • Lower bounds on Ricci curvature and the almost rigidity of warped products, with T. H. Colding. Annals of Mathematics. 144. 1996. 189–237.
  • On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay, with Gang Tian. Inventiones Mathematicae. 118. 1994. 493–571.
  • Collapsing Riemannian manifolds while keeping their curvature bounded, II, with Mikhail Gromov. Journal of Differential Geometry. 31, 4. 1990. 269–298. Collapsing manifold
  • Eta-invariants and their adiabatic limits, with J. M. Bismut. Journal of American Mathematical Society, 2, 1. 1989. 33–70.
  • Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Journal of Differential Geometry. 17 (1982), no. 1, 15–53.
  • On the Hodge theory of Riemannian pseudomanifolds. American Mathematical Society: Proceedings of the Symposium in Pure Mathematics. 36. 1980. 91–146. L² cohomology
  • Cheeger, Jeff (1977), "Analytic Torsion and Reidemeister Torsion", PNAS, 74 (7): 2651–2654, MR 0451312, PMC 431228 , PMID 16592411, doi:10.1073/pnas.74.7.2651  Analytic torsion
  • Cheeger, Jeff; Gromoll, Detlef. The splitting theorem for manifolds of nonnegative Ricci curvature. Journal of Differential Geometry. 6 (1971/72), 119–128. Splitting theorem
  • A lower bound for the smallest eigenvalue of the Laplacian. Problems in analysis (Papers dedicated to Salomon Bochner, 1969), pp. 195–199. Princeton University Press, Princeton, N.J., 1970. Cheeger constant
  • Cheeger, Jeff; Gromoll, Detlef. The structure of complete manifolds of nonnegative curvature. Bulletin of the American Mathematical Society. 74 1968 1147–1150. Soul theorem
  • Cheeger, Jeff. Finiteness theorems for Riemannian manifolds. American Journal of Mathematics. 92 (1970) 61–74.
  • Cheeger, Jeff; Ebin, David G. Comparison theorems in Riemannian geometry. Revised reprint of the 1975 original. AMS Chelsea Publishing, Providence, RI, 2008.
  • References

    Jeff Cheeger Wikipedia