Mu-Tao Wang | Academic Influence

Mu-Tao Wang's AcademicInfluence.com Rankings

Mu-Tao Wang

Mathematics

#1481

World Rank

#2427

Historical Rank

Algebraic Geometry

#224

World Rank

#235

Historical Rank

Number Theory

#388

World Rank

#485

Historical Rank

Measure Theory

#3752

World Rank

#4424

Historical Rank

mathematics Degrees

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Mathematics

Mu-Tao Wang's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics National Taiwan University

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Why Is Mu-Tao Wang Influential?

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According to Wikipedia, Mu-Tao Wang is a Taiwanese mathematician and current Professor of Mathematics at Columbia University. Education He entered National Taiwan University in 1984, originally for international business, but after a year he switched to mathematics. He earned his BS in Mathematics at National Taiwan University in 1988 and his MS from the same institution in 1992. He received a PhD in Mathematics in 1998 from Harvard University with a thesis entitled "Generalized harmonic maps and representations of discrete groups." His thesis adviser at Harvard was Chinese Fields Medalist and differential geometer Shing-Tung Yau.

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Mu-Tao Wang'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

Mean Curvature Flow of Surfaces in Einstein Four-Manifolds (2001) (162)
Quasilocal mass in general relativity. (2008) (152)
Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass (2008) (146)
Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension (2001) (135)
A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold (2012) (116)
Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials (2002) (98)
Mean curvature flows and isotopy of maps between spheres (2003) (74)
A generalization of Liu-Yau's quasi-local mass (2006) (70)
On graphic Bernstein type results in higher codimension (2002) (66)
Deforming Area Preserving Diffeomorphism of Surfaces by Mean Curvature Flow (2001) (64)
Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity (2013) (43)
Specifying Angular Momentum and Center of Mass for Vacuum Initial Data Sets (2010) (38)
Generalized harmonic maps and representations of discrete groups (2000) (38)
Gauss Maps of the Mean Curvature Flow (2002) (36)
A volume preserving flow and the isoperimetric problem in warped product spaces (2016) (36)
Evaluating Quasilocal Energy and Solving Optimal Embedding Equation at Null Infinity (2010) (35)
Minimizing Properties of Critical Points of Quasi-Local Energy (2013) (35)
Linear Stability of Schwarzschild Spacetime: The Cauchy Problem of Metric Coefficients (2017) (35)
Hamiltonian stationary cones and self-similar solutions in higher dimension (2008) (34)
A fixed point theorem of discrete group actions on Riemannian manifolds (1998) (34)
The Mean Curvature Flow Smoothes Lipschitz Submanifolds (2002) (33)
The Curvature of Gradient Ricci Solitons (2010) (32)
Gravitational energy seen by quasilocal observers (2011) (29)
Inverse mean curvature flows in the hyperbolic 3-space revisited (2014) (28)
Hamiltonian stationary shrinkers and expanders for Lagrangian mean curvature flows (2007) (27)
Limit of Quasilocal Mass at Spatial Infinity (2009) (27)
Linear stability of Schwarzschild spacetime: Decay of metric coefficients (2017) (26)
Lectures on mean curvature ows in higher codimensions (2011) (25)
Quasilocal angular momentum and center of mass in general relativity (2013) (24)
A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime (2013) (24)
Constructing K\"ahler-Ricci solitons from Sasaki-Einstein manifolds (2009) (24)
Subsets of Grassmannians preserved by mean curvature flows (2002) (23)
Generalized Lagrangian mean curvature flows in symplectic manifolds (2009) (23)
Some recent developments in Lagrangian mean curvature flows (2011) (23)
A MINKOWSKI-TYPE INEQUALITY FOR HYPERSURFACES IN THE ANTI-DESITTER-SCHWARZSCHILD MANIFOLD (2012) (22)
The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions (2004) (21)
Evaluating Small Sphere Limit of the Wang–Yau Quasi-Local Energy (2015) (20)
On the Validity of the Definition of Angular Momentum in General Relativity (2014) (19)
Interior gradient bounds for solutions to the minimal surface system (2004) (19)
Minkowski formulae and Alexandrov theorems in spacetime (2014) (17)
Deforming symplectomorphisms of complex projective spaces by the mean curvature flow (2009) (16)
Supertranslation invariance of angular momentum (2021) (16)
Quasi-local energy with respect to a static spacetime (2016) (16)
Mean curvature flows in manifolds of special holonomy (2016) (15)
A convergence result of the Lagrangian mean curvature flow (2005) (14)
Evolution of Angular Momentum and Center of Mass at Null Infinity (2021) (14)
The Dirichlet Problem for the Minimal Surface System in Arbitrary Codimension (2002) (13)
Conserved quantities on asymptotically hyperbolic initial data sets (2014) (13)
Curvature decay estimates of graphical mean curvature flow in higher codimensions (2014) (13)
A strong stability condition on minimal submanifolds and its implications (2017) (12)
Quasilocal mass and surface Hamiltonian in spacetime (2012) (11)
Rigidity of time-flat surfaces in the Minkowski spacetime (2013) (10)
Mean Curvature Flows in Higher Codimension (2002) (10)
A stability criterion for nonparametric minimal submanifolds (2002) (9)
Stability and curvature estimates for minimal graphs with flat normal bundles (2004) (8)
Quasi-local mass at the null infinity of the Vaidya spacetime (2016) (8)
A Note on the Stability and Uniqueness for Solutions to the Minimal Surface System (2007) (8)
BMS Charges Without Supertranslation Ambiguity (2021) (7)
Quasi-local energy in presence of gravitational radiation (2016) (7)
Quasi-local energy with respect to de Sitter/anti-de Sitter reference (2016) (6)
Local mass in general relativity (2008) (6)
Rigidity and minimizing properties of quasi-local mass (2014) (6)
Conserved Quantities of harmonic asymptotic initial data sets (2014) (5)
Mean curvature flow in higher codimension (2002) (5)
Four lectures on quasi-local mass (2015) (5)
The stability of the mean curvature flow in manifolds of special holonomy (2016) (5)
Mean curvature flows and isotopy problems (2012) (4)
The Rest Mass of an Asymptotically Anti-de Sitter Spacetime (2015) (4)
Quasi-local mass on unit spheres at spatial infinity (2019) (4)
Cross-section continuity of definitions of angular momentum (2022) (4)
Evaluating Small Sphere Limit of the Wang–Yau Quasi-Local Energy (2017) (4)
Quasi-local mass at axially symmetric null infinity (2019) (4)
The Minkowski Formula and the Quasi-Local Mass (2018) (3)
Generalized Lagrangian mean curvature flows: The cotangent bundle case (2016) (3)
AHLER-RICCI SOLITONS FROM SASAKI-EINSTEIN MANIFOLDS (2011) (3)
Quasi-local mass at null infinity in Bondi–Sachs coordinates (2019) (3)
On representations of complex hyperbolic lattices (1999) (2)
Wang and Yau’s quasi-local energy for an extreme Kerr spacetime (2017) (2)
Global uniqueness of the minimal sphere in the Atiyah–Hitchin manifold (2018) (2)
Remarks on a Class of Solutions to the Minimal Surface System (2003) (2)
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities (2018) (2)
Quasilocal mass from a mathematical perspective (2012) (2)
Energy, momentum, and center of mass in general relativity (2016) (1)
Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity (2015) (1)
Energy-momentum surface density and quasilocal mass in general relativity (2008) (1)
Quasilocal energy-momentum at null infinity (2010) (1)
A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria (2023) (1)
Total mass and limits of quasi-local mass at future null infinity (2020) (1)
Quasi-local mass and isometric embedding with reference to a static spacetime (2020) (1)
HONORS A: FALL 2013 (2013) (0)
The Minkowski Formula and the Quasi-Local Mass (2019) (0)
Fu Sinian Awards (2015) (0)
2017 ICCM Best Paper Award (2018) (0)
Inverse mean curvature flows in the hyperbolic 3-space revisited (2014) (0)
D G ] 1 J an 2 01 6 THE REST MASS OF AN ASYMPTOTICALLY ANTI-DE SITTER SPACETIME (2018) (0)
On the Validity of the Definition of Angular Momentum in General Relativity (2015) (0)
Angular momentum and supertranslation in general relativity (2023) (0)
GRADIENT ESTIMATES FOR MEAN CURVATURE SYSTEMS (2004) (0)
A ug 2 00 5 A convergence result of the Lagrangian mean curvature flow (0)
Conserved quantities in general relativity -- the view from null infinity (2022) (0)
Constructing soliton solutions of geometric flows by separation of variables (2014) (0)
Fe b 20 03 Mean Curvature Flows and Homotopy of Maps Between Spheres (2003) (0)
Ju l 2 02 1 BMS CHARGES WITHOUT SUPERTRANSLATION AMBIGUITY (2021) (0)
Minimizing Properties of Critical Points of Quasi-Local Energy (2014) (0)
Isometric Emdeddings and Quasi-local Mass (2007) (0)
The Rest Mass of an Asymptotically Anti-de Sitter Spacetime (2017) (0)
On Hamilton's Ricci Flow and Bartnik's Construction of Metrics of (2010) (0)
Wang and Yau's Quasi-Local Energy for a Maximally Rotating Black hole (2017) (0)
Constraints on total conserved quantities in general relativity (2012) (0)
The 2017 ICCM Best Paper Awards (2018) (0)
Limits of quasi-local angular momentum on an isolated gravitating system (2020) (0)
Supertranslation invariance of angular momentum at null infinity in double null gauge (2022) (0)
Mean Curvature Flows of Two-Convex Lagrangians (2023) (0)
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities (2020) (0)
A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime (2014) (0)

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