von Humboldt Society 1997 Member of the United States National Academy of Sciences 2001 Oswald Veblen Prize in Geometry 2012 Fellow of the American Mathematical Society 2019 Steele Prize for Lifetime Achievement 2021 Shaw Prize (jointly with Jean-Michel Bismut) 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 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. See also Cheeger bound Cheeger constant Cheeger constant (graph theory) Cheeger–Müller theorem soul theorem splitting theorem Collapsing manifold L² cohomology Riemannian geometry References External links CV Harvard University alumni Princeton University alumni 1943 births Living people University of Michigan faculty 20th-century American mathematicians 21st-century American mathematicians Differential geometers Members of the United States