• Thumbnail for Jeff Cheeger
    Jeff Cheeger (born December 1, 1943) is an American mathematician and Silver Professor at the Courant Institute of Mathematical Sciences of New York University...
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  • of a hypersurface that divides M into two disjoint pieces. In 1971, Jeff Cheeger proved an inequality that related the first nontrivial eigenvalue of...
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  • after the Cheeger isoperimetric constant of a compact Riemannian manifold. The Cheeger constant is named after the mathematician Jeff Cheeger. Let G be...
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  • manifolds of non-negative sectional curvature to that of the compact case. Jeff Cheeger and Detlef Gromoll proved the theorem in 1972 by generalizing a 1969...
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  • interval is a curve of minimal length that connects its endpoints. In 1971, Jeff Cheeger and Detlef Gromoll proved that if a geodesically complete and connected...
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  • Thumbnail for Grigori Perelman
    at the 1994 International Congress of Mathematicians.[P95a] In 1972, Jeff Cheeger and Detlef Gromoll established their important soul theorem. It asserts...
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  • formulation. Most of the results can be found in the classic monograph by Jeff Cheeger and D. Ebin (see below). The formulations given are far from being very...
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  • Singer (1971, 1973a, 1973b) as an analytic analogue of Reidemeister torsion. Jeff Cheeger (1977, 1979) and Werner Müller (1978) proved Ray and Singer's conjecture...
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  • Thumbnail for Jim Simons
    Bibcode:1971PNAS...68..791C. doi:10.1073/pnas.68.4.791. PMC 389044. PMID 16591916. Cheeger, J.; Simons, J. (1973). "Differential characters and geometric invariants"...
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  • Thumbnail for Aaron Naber
    dimension. As a postdoc and later assistant professor at MIT, Naber and Jeff Cheeger introduced the notion of quantitative stratification to Lower Ricci curvature...
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  • Birkhäuser Boston, Inc., Boston, MA, 1992. xiv+300 pp. ISBN 0-8176-3490-8 Jeff Cheeger and David G. Ebin. Comparison theorems in Riemannian geometry. Revised...
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  • LeCun won the 1996 and 2018 Turing Award respectively. In addition, Jeff Cheeger was also awarded the Shaw Prize in Mathematical Sciences in 2021. The...
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  • was studied cohomologically, independently by Steven Zucker (1978) and Jeff Cheeger (1979). It is closely related to intersection cohomology; indeed, the...
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  • Heisenberg group to L1. Acta Math. 207 (2011), no. 2, 291–373 [written with Jeff Cheeger and Bruce Kleiner] 2011 Gunther Uhlmann for "his fundamental work on...
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  • Thumbnail for Shing-Tung Yau
    volume of the manifold.[YY80] Earlier, Yau had modified Jeff Cheeger's analysis of the Cheeger constant so as to be able to estimate the first eigenvalue...
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  • classes of the collection of 4-manifolds satisfying certain properties (Jeff Cheeger, Aaron Naber, 2014) Gaussian correlation inequality (Thomas Royen, 2014)...
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  • In mathematics, the Cheeger bound is a bound of the second largest eigenvalue of the transition matrix of a finite-state, discrete-time, reversible stationary...
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  • Heidelberg: Springer: 5–49. doi:10.1007/BFb0070595. ISBN 978-3-540-37440-4. Jeff Cheeger and David Gregory Ebin: Comparison theorems in Riemannian Geometry, North...
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  • Thumbnail for Werner Müller (mathematician)
    Maryna Viazovska. Together with Jeff Cheeger, he has been awarded the Max-Planck-Forschungspreis in 1991 . The Cheeger–Müller theorem on the analytic torsion...
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  • Thumbnail for Shaw Prize
    insights that have transformed, and continue to transform, modern geometry. Jeff Cheeger  United States 2022 Noga Alon  Israel For their remarkable contributions...
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  • Bueno de Mesquita, professor at Graduate School of Arts and Science Jeff Cheeger, professor at Courant Percy Deift, professor at Courant Paul DiMaggio...
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  • Thumbnail for Salomon Bochner
    advisor Erhard Schmidt Doctoral students Richard Askey Eugenio Calabi Jeff Cheeger M. T. Cheng Charles L. Dolph Hillel Furstenberg Robert Gunning Israel...
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  • positive scalar curvature. Invent. Math. 130 (1997), no. 1, 1–37. 2001 Jeff Cheeger for: Families index for manifolds with boundary, superconnections, and...
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  • 2022 Richard P. Stanley 2021 Spencer Bloch 2020 Karen Uhlenbeck 2019 Jeff Cheeger 2018 Jean Bourgain 2017 James G. Arthur 2016 Barry Simon 2015 Victor...
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  • presented this work at the Geometry Festival. He began working with Jeff Cheeger while at NYU. He gave a 45-minute invited address to the ICM on this...
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  • sectional curvature of the ith manifold. There is a theorem proved by Jeff Cheeger, Kenji Fukaya and Mikhail Gromov, which states that: There exists a constant...
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  • James Henry Bramble Haim Brezis Victor Buchstaber Thomas Ashland Chapman Jeff Cheeger E. W. Cheney Zbigniew Ciesielski Charles Herbert Clemens Alfred Hoblitzelle...
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  • Thumbnail for Mikhael Gromov (mathematician)
    weaker than Gromov's but allow the manifold to have convex boundary. In Jeff Cheeger's fundamental compactness theory for Riemannian manifolds, a key step...
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  • Buhrman Kevin Peter Campbell Stephen R. Carpenter Marshall N. Carter Jeff Cheeger Kenneth Irvine Chenault Judith Chevalier Shu Chien Keith Christiansen...
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  • open problems in Finsler geometry Jeff Cheeger and Blaine Lawson, The mathematical work of James Simons Jeff Cheeger, Ricci Curvature Jürg Fröhlich, Physics...
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