Michael T. Anderson

Michael T. Anderson's AcademicInfluence.com Rankings

Michael T. Anderson

Mathematics

#2020

World Rank

#3187

Historical Rank

#811

USA Rank

Measure Theory

#2830

World Rank

#3368

Historical Rank

#819

USA Rank

mathematics Degrees

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Mathematics

Michael T. Anderson's Degrees

PhD Mathematics University of California, Berkeley

Why Is Michael T. Anderson Influential?

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According to Wikipedia, Michael T. Anderson is an American mathematician. He is a professor of mathematics at the State University of New York at Stony Brook. His research concerns differential geometry including Ricci curvature and minimal surfaces.

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Michael T. Anderson'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

Convergence and rigidity of manifolds under Ricci curvature bounds (1990) (343)
Positive harmonic functions on complete manifolds of negative curvature (1985) (263)
Ricci curvature bounds and Einstein metrics on compact manifolds (1989) (233)
The Dirichlet problem at infinity for manifolds of negative curvature (1983) (199)
Complete minimal varieties in hyperbolic space (1982) (167)
Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem (2002) (133)
$C^\alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below (1992) (129)
L^2 curvature and volume renormalization of AHE metrics on 4-manifolds (2000) (126)
Complete minimal hypersurfaces in hyperbolicn-manifolds (1983) (116)
TheL2 structure of moduli spaces of Einstein metrics on 4-manifolds (1992) (104)
On the topology of complete manifolds of non-negative Ricci curvature (1990) (103)
Geometric aspects of the AdS/CFT correspondence (2004) (103)
Existence and Stability of Even-dimensional Asymptotically de Sitter Spaces (2004) (92)
Einstein Metrics with Prescribed Conformal Infinity on 4-Manifolds (2001) (90)
Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds (2001) (86)
Boundary value problems for Einstein metrics, I (2006) (80)
Diffeomorphism finiteness for manifolds with ricci curvature andLn/2-norm of curvature bounded (1991) (76)
On Long-Time Evolution in General Relativity¶and Geometrization of 3-Manifolds (2000) (70)
Complete Ricci-flat Kähler manifolds of infinite topological type (1989) (69)
Extrema of curvature functionals on the space of metrics on 3-manifolds (1997) (66)
Scalar Curvature, Metric Degenerations and the Static Vacuum Einstein Equations on 3-manifolds, I (1999) (66)
The Compactification of a Minimal Submanifold In Euclidean Space by the Gauss Map (66)
On Stationary Vacuum Solutions to the Einstein Equations (2000) (61)
C α -COMPACTNESS FOR MANIFOLDS WITH RICCI CURVATURE AND INJECTIVITY RADIUS BOUNDED BELOW (2008) (60)
Geometrization of 3-Manifolds via the Ricci Flow (2003) (58)
Curvature estimates for minimal surfaces in $3$-manifolds (1985) (57)
On the Structure of Solutions to the Static Vacuum Einstein Equations (2000) (56)
Scalar Curvature and Geometrization Conjectures for 3-Manifolds (1997) (55)
Asymptotically Simple Solutions of the Vacuum Einstein Equations in Even Dimensions (2004) (54)
Metrics of positive ricci curvature with large diameter (1990) (53)
Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem (1992) (53)
Holographic Uniformization (2011) (51)
Canonical metrics on 3-manifolds and 4-manifolds (2005) (50)
Dehn Filling and Einstein Metrics in Higher Dimensions (2003) (46)
Unique continuation results for Ricci curvature and applications (2005) (45)
On the uniqueness and global dynamics of AdS spacetimes (2006) (42)
Minimal surfaces and 3-manifolds of non-negative Ricci curvature (1989) (36)
A survey of Einstein metrics on 4-manifolds (2008) (32)
Topics in conformally compact Einstein metrics (2005) (29)
On the Bartnik extension problem for the static vacuum Einstein equations (2009) (29)
L2harmonic forms on complete Riemannian manifolds (1988) (29)
Remarks on the compactness of isospectral sets in low dimensions (1991) (27)
Regularity for Lorentz metrics under curvature bounds (2002) (25)
On the structure of conformally compact Einstein metrics (2004) (25)
On the structure of asymptotically de Sitter and anti-de Sitter spaces (2004) (24)
ON UNIQUENESS AND DIFFERENTIABILITY IN THE SPACE OF YAMABE METRICS (2002) (22)
Existence of flats in manifolds of nonpositive curvature (1986) (22)
Embeddings, Immersions and the Bartnik Quasi-Local Mass Conjectures (2016) (21)
Cheeger-Gromov Theory and Applications to General Relativity (2002) (21)
Scalar curvature and the existence of geometric structures on 3-manifolds, II (2002) (21)
$L^2 $ harmonic forms and a conjecture of Dodziuk-Singer (1985) (20)
The static extension problem in General Relativity (2009) (20)
Orbifold compactness for spaces of Riemannian metrics and applications (2003) (19)
Metrics of negative curvature on vector bundles (1987) (18)
Extension of symmetries on Einstein manifolds with boundary (2007) (17)
Einstein Metrics and Metrics with Bounds on Ricci Curvature (1995) (16)
Boundary Value Problems for Metrics on 3-manifolds (2011) (12)
On the Structure os Asymptotically de Sitter and Anti-de Sitter Spaces (2004) (12)
Extrema of curvature functionals on the space of metrics on 3-manifolds, II (1999) (12)
Moduli spaces of Einstein metrics on 4-manifolds (1989) (11)
Conformal immersions of prescribed mean curvature in R^3 (2012) (9)
Local existence and uniqueness for exterior static vacuum Einstein metrics (2013) (9)
Recent progress and problems on the Bartnik quasi-local mass (2019) (8)
On the Bartnik conjecture for the static vacuum Einstein equations (2015) (7)
Quasilocal Hamiltonians in general relativity (2010) (7)
Erratum to “Unique continuation results for Ricci curvature and applications” [J. Geom. Phys. 58 (2008) 179–207] (2010) (6)
The initial boundary value problem and quasi-local Hamiltonians in general relativity (2021) (6)
Asymptotic behaviour of future-complete cosmological spacetimes (2004) (4)
On the conformal method for the Einstein constraint equations (2018) (4)
On the initial boundary value problem for the vacuum Einstein equations and geometric uniqueness (2020) (3)
Local rigidity of surfaces in space forms (2007) (3)
Asymptotic behavior of future-complete cosmological space-times (2003) (3)
Unique continuation results for Ricci curvature (2005) (3)
Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass (2010) (3)
The Bernstein problem in complete Riemannian manifolds (1981) (2)
Remarks on evolution of space-times in 3+1 and 4+1 dimensions (2001) (2)
The Nirenberg problem of prescribed Gauss curvature on $S^2$ (2017) (2)
Metric tensor estimates, geometric convergence, and inverse boundary problems (2003) (2)
On the fundamental group of non-positively curved manifolds (1987) (2)
Static Vacuum Einstein Metrics on Bounded Domains (2013) (2)
On 3-manifolds with positive Sigma constant (2002) (1)
Closedness of the Space of AHE Metrics on 4-Manifolds (2000) (1)
Einstein metrics on some exotic negatively curved manifolds (2003) (1)
Fully Relativistic Simulations of the Inspiral and Merger of Black Hole - Neutron Star Binaries (2010) (1)
On the local rigidity of Einstein manifolds with convex boundary (2013) (0)
Elliptic Regularization of the Isometric Immersion Problem (2017) (0)
Asymptotic Behavior of Static and Stationary Vacuum Space-Times (2002) (0)
Isometric embeddings, Einstein metrics and extension of isometries (2007) (0)
Spheres of prescribed mean curvature in S^3 (2011) (0)
Embeddings, Immersions and the Bartnik Quasi-Local Mass Conjectures (2019) (0)
Holographic Uniformization (2013) (0)
Alexandrov immersions, holonomy and minimal surfaces in $S^3$ (2014) (0)
Static Vacuum Einstein Metrics on Bounded Domains (2014) (0)
Raymond G. Ayoub, Editor, Musings of the Masters: An Anthology of Mathematical Reflections, The Mathematical Association of America, Washington, DC (2004) ISBN 0-88385-549-6 288 pp. $49.95. (2007) (0)
Elliptic Regularization of the Isometric Immersion Problem (2017) (0)

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Michael T. Anderson's Academic­Influence.com Rankings