World's Best Scientists 2026 revealed!

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Mathematics

D-Index
51
Citations
21285
World Ranking
990
National Ranking
458

Research.com Recognitions

  • 2019 - Steele Prize for Lifetime Achievement
  • 2013 - Fellow of the American Mathematical Society
  • 2006 - Fellow of the American Academy of Arts and Sciences
  • 1997 - Member of the National Academy of Sciences
  • 1984 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1970 - Fellow of Alfred P. Sloan Foundation

Overview

Jeff Cheeger is affiliated with the Courant Institute of Mathematical Sciences in the United States. The research work focuses primarily on mathematical fields and subfields including:

  • Mathematics
  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics

The main topics of Cheeger's research encompass:

  • Geometric Analysis and Curvature Flows
  • Advanced Differential Geometry Research
  • Geometry and complex manifolds
  • Point processes and geometric inequalities
  • Analytic and geometric function theory
  • Fixed Point Theorems Analysis

Their frequent publication venues include:

  • Notices of the American Mathematical Society
  • Pure and Applied Mathematics Quarterly
  • Annals of Mathematics
  • Communications on Pure and Applied Mathematics

Frequent co-authors of Cheeger are:

  • Robert L. Bryant
  • Phillip Griffiths
  • Nigel Hitchin
  • Blaine Lawson
  • Shing-Tung Yau

Selected recent papers by Jeff Cheeger include:

  • Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below, 2021, Annals of Mathematics
  • Thin Loewner Carpets and Their Quasisymmetric Embeddings in S2, 2021, Communications on Pure and Applied Mathematics

Cheeger's career has been recognized through various honors and awards such as:

  • Steele Prize for Lifetime Achievement (2019)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2006)
  • Member of the National Academy of Sciences (1997)
  • Fellow of John Simon Guggenheim Memorial Foundation (1984)
  • Fellow of Alfred P. Sloan Foundation (1970)

Best Publications

  • Comparison theorems in Riemannian geometry

    Jeff Cheeger;David G. Ebin

  • Differentiability of Lipschitz Functions on Metric Measure Spaces

    Jeff Cheeger

  • On the structure of spaces with Ricci curvature bounded below. I

    Jeff Cheeger;Tobias H. Colding

  • A Lower Bound for the Smallest Eigenvalue of the Laplacian

    Jeff Cheeger

  • On the Structure of Complete Manifolds of Nonnegative Curvature

    Jeff Cheeger;Detlef Gromoll

  • Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

    Jeff Cheeger;Mikhail Gromov;Michael Taylor

  • The splitting theorem for manifolds of nonnegative Ricci curvature

    Jeff Cheeger;Detlef Gromoll

  • Lower bounds on Ricci curvature and the almost rigidity of warped products

    Jeff Cheeger;Tobias H. Colding

  • Spectral geometry of singular Riemannian spaces

    Jeff Cheeger

  • Analytic torsion and the heat-equation

    Jeff Cheeger

  • FINITENESS THEOREMS FOR RIEMANNIAN MANIFOLDS.

    Jeff Cheeger

  • Differential characters and geometric invariants

    Jeff Cheeger;James Simons

  • Collapsing riemannian manifolds while keeping their curvature bounded. I.

    Jeff Cheeger;Mikhael Gromov

  • On the curvature of piecewise flat spaces

    Jeff Cheeger;Werner Müller;Robert Schrader

  • L2-Cohomology and group cohomology

    Jeff Cheeger;Mikhael Gromov

  • Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds

    Jeff Cheeger;Mikhael Gromov

  • On the spectral geometry of spaces with cone-like singularities

    Jeff Cheeger

  • Eta invariants and their adiabatic limits

    Jean Michel Bismut;Jean Michel Bismut;Jeff Cheeger

  • Nilpotent structures and invariant metrics on collapsed manifolds

    Jeff Cheeger;Kenji Fukaya;Kenji Fukaya;Kenji Fukaya;Mikhael Gromov

  • On the Hodge theory of Riemannian pseudomanifolds

    Jeff Cheeger

  • The structure of complete manifolds of nonnegative curvature

    Jeff Cheeger;Detlef Gromoll

Frequent Co-Authors

Bruce Kleiner
Bruce Kleiner Courant Institute of Mathematical Sciences
Jean-Michel Bismut
Jean-Michel Bismut University of Paris-Saclay
Gang Tian
Gang Tian Peking University
Assaf Naor
Assaf Naor Princeton University
Kenji Fukaya
Kenji Fukaya Stony Brook University
Robert Schrader
Robert Schrader University of Erlangen-Nuremberg
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill
Michael T. Anderson
Michael T. Anderson Stony Brook University
Mikhael Gromov
Mikhael Gromov Institut des Hautes Études Scientifiques

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