Jeff Cheeger
#1,409
Most Influential Person Now
American mathematician and academic
Jeff Cheeger's AcademicInfluence.com Rankings
Jeff Cheegermathematics Degrees
Mathematics
#55
World Rank
#170
Historical Rank
#19
USA Rank
Differential Geometry
#4
World Rank
#8
Historical Rank
#2
USA Rank
Measure Theory
#357
World Rank
#531
Historical Rank
#152
USA Rank
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Mathematics
Jeff Cheeger's Degrees
- PhD Mathematics Princeton University
Why Is Jeff Cheeger Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jeff Cheeger 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.
Jeff Cheeger's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A lower bound for the smallest eigenvalue of the Laplacian (1969) (1237)
- Differentiability of Lipschitz Functions on Metric Measure Spaces (1999) (1020)
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds (1982) (842)
- On the structure of spaces with Ricci curvature bounded below. II (2000) (837)
- The splitting theorem for manifolds of nonnegative Ricci curvature (1971) (627)
- Comparison theorems in Riemannian geometry (1975) (573)
- Lower bounds on Ricci curvature and the almost rigidity of warped products (1996) (556)
- Spectral geometry of singular Riemannian spaces (1983) (488)
- On the Structure of Complete Manifolds of Nonnegative Curvature (1972) (448)
- Differential characters and geometric invariants (1985) (424)
- FINITENESS THEOREMS FOR RIEMANNIAN MANIFOLDS. (1970) (393)
- Analytic torsion and the heat-equation (1979) (392)
- The structure of complete manifolds of nonnegative curvature (1968) (391)
- On the curvature of piecewise flat spaces (1984) (329)
- On the Hodge theory of Riemannian pseudomanifolds (1980) (284)
- L2-Cohomology and group cohomology (1986) (275)
- Collapsing riemannian manifolds while keeping their curvature bounded. I. (1986) (273)
- On the spectral geometry of spaces with cone-like singularities. (1979) (235)
- Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds (1985) (228)
- A lower bound for the heat kernel (1981) (223)
- Nilpotent structures and invariant metrics on collapsed manifolds (1992) (219)
- Some examples of manifolds of nonnegative curvature (1973) (192)
- Eta invariants and their adiabatic limits (1989) (189)
- On the singularities of spaces with bounded Ricci curvature (2002) (177)
- On the diffraction of waves by conical singularities. I (1982) (161)
- L2-cohomology and intersection homology of singular algebraic-varieties (1982) (157)
- Critical points of distance functions and applications to geometry (1991) (131)
- $C^\alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below (1992) (129)
- Regularity of Einstein manifolds and the codimension 4 conjecture (2014) (126)
- On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay (1994) (121)
- On the Characteristic Numbers of Complete Manifolds of Bounded Curvature and Finite Volume (1985) (117)
- Lower bounds on Ricci curvature and quantitative behavior of singular sets (2011) (109)
- COLLAPSING RIEMANNIAN MANIFOLDS WHILE KEEPING THEIR CURVATURE BOUNDED . II (2008) (108)
- Differentiating maps into L1, and the geometry of BV functions (2006) (106)
- $\eta$-invariants, the adiabatic approximation and conical singularities. I. The adiabatic approximation (1987) (92)
- Degeneration of Riemannian metrics under Ricci curvature bounds (2013) (92)
- Families index for manifolds with boundary, superconnections, and cones. I, Families of manifolds with boundary and Dirac operators (1990) (87)
- Curvature and injectivity radius estimates for Einstein 4-manifolds (2005) (79)
- Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces with the Radon–Nikodym Property (2008) (77)
- Diffeomorphism finiteness for manifolds with ricci curvature andLn/2-norm of curvature bounded (1991) (76)
- Critical Sets of Elliptic Equations (2012) (71)
- Families index for manifolds with boundary, superconnections and cones. II. The Chern character (1990) (68)
- Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents (2011) (66)
- Compression bounds for Lipschitz maps from the Heisenberg group to L1 (2009) (66)
- On the differentiability of Lispschitz maps from metric measure spaces to Banach spaces (2006) (56)
- Metric differentiation, monotonicity and maps to L1 (2009) (49)
- Analytic torsion and Reidemeister torsion. (1977) (47)
- Remarks on the index theorem for families of Dirac operators on manifolds with boundary (1990) (43)
- Kinematic and tube formulas for piecewise linear spaces (1986) (43)
- Quantitative Stratification and the Regularity of Mean Curvature Flow (2012) (42)
- Comparison and finiteness theorems for riemannian manifolds (1967) (41)
- Chopping Riemannian manifolds (1990) (39)
- Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below (1995) (39)
- Integral bounds on curvature, elliptic estimates and rectifiability of singular sets (2003) (37)
- Realization of Metric Spaces as Inverse Limits, and Bilipschitz Embedding in L1 (2011) (37)
- Rectifiability of Singular Sets in Noncollapsed Spaces with Ricci Curvature bounded below (2018) (35)
- Inverse Limit Spaces Satisfying a Poincaré Inequality (2013) (35)
- Multiplication of differential characters (1972) (32)
- Counting topological manifolds (1970) (30)
- Degeneration of Einstein metrics and metrics with special holonomy (2003) (30)
- Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation (2015) (29)
- A $(\log n)^{\Omega(1)}$ Integrality Gap for the Sparsest Cut SDP (2009) (29)
- Infinitesimal isometries and pontryagin numbers (1969) (27)
- Pinching theorems for a certain class of Riemannian manifolds (1969) (27)
- On the lower bound for the injectivity radius of 1/4-pinched riemannian manifolds (1980) (26)
- Generalized differentiation and bi-Lipschitz nonembedding in L1⁎ (2006) (26)
- Surveys in differential geometry. Vol. XI (2007) (25)
- Constraints on singularities under Ricci curvature bounds (1997) (24)
- Existence of polarized f-structures on collapsed manifolds with bounded curvature and diameter (1996) (22)
- Transgressed Euler classes of ${\rm SL}(2n,\mathbf{Z})$ vector bundles, adiabatic limits of eta invariants and special values of $L$-functions (1992) (22)
- A vanishing theorem for piecewise constant curvature spaces (1986) (22)
- The relation between the laplacian and the diameter for manifolds of non-negative curvature (1968) (20)
- Anti-Self-Duality of Curvature and Degeneration of Metrics with Special Holonomy (2005) (20)
- Quantitative Differentiation: A General Formulation (2012) (20)
- Quantitative stratification and the regularity of harmonic map flow (2013) (19)
- Splittings and Cr-structures for manifolds with nonpositive sectional curvature (2001) (17)
- A combinatorial formula for Stiefel-Whitney classes (1969) (14)
- Lattice gravity or Riemannian structure on piecewise linear spaces (1982) (14)
- Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry (1995) (13)
- L^2 cohomology and intersection homology of singular varieties, Seminar on Differential Geometry (1982) (12)
- Characterization of the Radon-Nikodym property in terms of inverse limits (2007) (10)
- Metric and comparison geometry (2007) (10)
- Structure Theory and Convergence in Riemannian Geometry (2010) (10)
- Local splitting structures on nonpositively curved manifolds and semirigidity in dimension 3 (2004) (10)
- Geometric Topology: Recent Developments (1991) (10)
- Invariants of flat bundles (1974) (9)
- On the formulas of Atiyah-Patodi-Singer and Witten (1986) (8)
- L2-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature (2009) (7)
- Lp-bounds on curvature, elliptic estimates and rectifiability of singular sets (2002) (6)
- L2-cohomology of spaces with non-isolated conical singularities and nonmultiplicativeity of the signature: Riemannian topology and geometric structures on manifolds (2008) (4)
- The index theorem for families of Dirac operators on manifolds with boundary; susperconnections and cones; II (1990) (3)
- Hodge theory of complex cones (2019) (2)
- Compact manifolds of nonnegative curvature (1969) (2)
- Geometric topology : recent developments : lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 4-12, 1990 (1991) (1)
- Marcel Berger Remembered (2017) (1)
- Eta-invariants and families index for manifolds with boundary (1987) (1)
- Thin Loewner Carpets and Their Quasisymmetric Embeddings in S2 (2019) (1)
- L 2-cohomology of Spaces with Non-isolated Conical Singularities and Non-multiplicativity of the Signature (2009) (1)
- Realization of Metric Spaces as Inverse Limits, and Bilipschitz Embedding in L1 (2013) (0)
- Class I: Mathematical and Physical Sciences Section 1: Mathematics (2007) (0)
- Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works (2022) (0)
- Quantitative Stratification and the Regularity of Mean Curvature Flow (2013) (0)
- The sphere theorem and its generalizations (2008) (0)
- Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections (2022) (0)
- 1 The Heisenberg group does not admit a bi-Lipschitz embedding into L 1 after (2009) (0)
- Complete manifolds of nonnegative curvature (2008) (0)
- Lower bounds on Ricci curvature and quantitative behavior of singular sets (2012) (0)
- NILPOTENT STRUCTURES AND INVARIANT METRICS (2009) (0)
- ON THE LOWER BOUND FOR THE INJECΠVΠΎ RADIUS OF 1/4-PINCHED RIEMANNIAN MANIFOLDS (2008) (0)
- Analytic torsion and Reidemeister torsion ( Riemannian manifold / Laplacian / boundary conditions / Sobolev constant ) (0)
- Compact manifolds of nonpositive curvature (2008) (0)
- Lattice gravity of Riemannina geometry of piecewise linear spaces (1981) (0)
- Closed geodesics and the cut locus (2008) (0)
- The differentiable sphere theorem (2008) (0)
- Toponogov’s theorem (2008) (0)
- O ct 2 01 2 Quantitative Stratification and the Regularity of Mean Curvature Flow (2012) (0)
- Quantitative stratification and the regularity of harmonic map flow (2014) (0)
- Degeneration of Einstein metrics with special holonomy (2004) (0)
- Basic concepts and results (2008) (0)
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