# Shing-Tung Yau

#87

Most Influential Person Now

American mathematician from Hong Kong

## Shing-Tung Yau's AcademicInfluence.com Rankings

Shing-Tung Yaumathematics Degrees

Mathematics

#6

World Rank

#34

Historical Rank

#1

USA Rank

Differential Geometry

#1

World Rank

#2

Historical Rank

#1

USA Rank

Measure Theory

#19

World Rank

#38

Historical Rank

#8

USA Rank

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Mathematics

## Shing-Tung Yau's Degrees

- PhD Mathematics University of California, Berkeley

## Why Is Shing-Tung Yau Influential?

(Suggest an Edit or Addition)According to Wikipedia, Shing-Tung Yau is a Chinese-American mathematician and the William Caspar Graustein Professor of Mathematics at Harvard University. In April 2022, Yau retired from Harvard to become a professor of mathematics at Tsinghua University.

## Shing-Tung Yau's Published Works

### Published Works

- On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I* (1978) (2611)
- IEEE Transactions on Pattern Analysis and Machine Intelligence: Special Issue on Perceptual Organization in Computer Vision (1998) (1855)
- Lectures on Differential Geometry (1994) (1564)
- On the parabolic kernel of the Schrödinger operator (1986) (1534)
- Mathematics and its applications (2002) (1434)
- Mirror symmetry is T duality (1996) (1403)
- On the proof of the positive mass conjecture in general relativity (1979) (1233)
- On the existence of hermitian‐yang‐mills connections in stable vector bundles (1986) (971)
- Differential equations on riemannian manifolds and their geometric applications (1975) (966)
- Harmonic functions on complete riemannian manifolds (1975) (847)
- Calabi's conjecture and some new results in algebraic geometry. (1977) (822)
- Proof of the positive mass theorem. II (1981) (693)
- On the structure of manifolds with positive scalar curvature (1979) (571)
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces (1982) (556)
- Existence of incompressible minimal surfaces and the topology of three - dimensional manifolds with (1979) (555)
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces (1976) (528)
- On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation (1980) (488)
- On the Schrödinger equation and the eigenvalue problem (1983) (476)
- Conformally flat manifolds, Kleinian groups and scalar curvature (1988) (471)
- A GENERAL SCHWARZ LEMMA FOR KAHLER MANIFOLDS. (1978) (468)
- Global conformal surface parameterization (2003) (461)
- Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds (1990) (459)
- Sasaki–Einstein Manifolds and Volume Minimisation (2006) (427)
- Genus zero surface conformal mapping and its application to brain surface mapping (2003) (398)
- Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces (1993) (397)
- Hypersurfaces with constant scalar curvature (1977) (393)
- The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds (2005) (382)
- Curvature estimates for minimal hypersurfaces (1975) (344)
- Compact kähler manifolds of positive bisectional curvature (1980) (340)
- Submanifolds with Constant Mean Curvature II (1974) (338)
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature (1982) (319)
- Estimates of eigenvalues of a compact Riemannian manifold (1980) (316)
- Mirror Principle I (1997) (307)
- Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces (1994) (305)
- On the regularity of the solution of the n‐dimensional Minkowski problem (1976) (302)
- Genus zero surface conformal mapping and its application to brain surface mapping. (2004) (300)
- Local mirror symmetry: Calculations and interpretations (1999) (294)
- Evolutionary dynamics on any population structure (2016) (293)
- Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds (1980) (293)
- The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation (2006) (292)
- Seminar on differential geometry (1982) (291)
- Complete Kähler manifolds with zero Ricci curvature. I (1990) (286)
- On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u) (1977) (283)
- Essays on mirror manifolds (1992) (281)
- Complete affine hypersurfaces. Part I. The completeness of affine metrics (1986) (273)
- Kähler-Einstein metrics on complex surfaces withC1>0 (1987) (260)
- Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. (2007) (257)
- High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method. (2006) (249)
- ON THE UPPER ESTIMATE OF THE HEAT KERNEL OF A COMPLETE RIEMANNIAN MANIFOLD (1981) (241)
- Topology of three dimensional manifolds and the embedding problems in minimal surface theory (1980) (235)
- Discrete Green's Functions (2000) (230)
- Mirror symmetry for two parameter models. I (1996) (226)
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold (1975) (225)
- A lower bound for the heat kernel (1981) (223)
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature (1976) (222)
- On univalent harmonic maps between surfaces (1978) (220)
- The existence of embedded minimal surfaces and the problem of uniqueness (1982) (220)
- Ricci curvature and eigenvalue estimate on locally finite graphs (2010) (217)
- Calabi-Yau four-folds for M- and F-theory compactifications (1997) (215)
- Ricci curvature of graphs (2011) (215)
- Surveys in Differential Geometry (1999) (214)
- Connectedness of the boundary in the AdS / CFT correspondence (1999) (213)
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature (1996) (209)
- Nonlinear Analysis In Geometry (1986) (205)
- Mirror Principle II (1999) (202)
- BPS states, string duality, and nodal curves on K3 (1995) (201)
- EXISTENCE OF KAHLER-EINSTEIN METRICS ON COMPLETE KAHLER MANIFOLDS AND THEIR APPLICATIONS TO ALGEBRAIC GEOMETRY (1987) (197)
- Complete Kähler manifolds with zero Ricci curvature II (1991) (196)
- Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction. (2007) (195)
- From special Lagrangian to Hermitian–Yang–Mills via Fourier–Mukai transform (2000) (193)
- THE CLASSICAL PLATEAU PROBLEM AND THE TOPOLOGY OF THREE-DIMENSIONAL MANIFOLDS (1982) (191)
- Differential Geometry: Partial Differential Equations on Manifolds (1993) (185)
- Obstructions to the Existence of Sasaki–Einstein Metrics (2006) (183)
- Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (1987) (178)
- The existence of a black hole due to condensation of matter (1983) (174)
- GPU-assisted high-resolution, real-time 3-D shape measurement. (2006) (172)
- High dynamic range scanning technique (2008) (170)
- Small resolutions of SU(5)-models in F-theory (2011) (164)
- Special Lagrangians, stable bundles and mean curvature flow (2001) (164)
- An Estimate of the Gap of the First Two Eigenvalues in the Schr (2009) (159)
- Positive scalar curvature and minimal hypersurface singularities (2017) (157)
- Canonical Metrics on the Moduli Space of Riemann Surfaces II (2004) (153)
- Quasilocal mass in general relativity. (2008) (152)
- Positivity of the Total Mass of a General Space-Time (1979) (147)
- Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass (2008) (146)
- Li-Yau inequality on graphs (2013) (146)
- Topological string partition functions as polynomials (2004) (141)
- Positivity of quasilocal mass. (2003) (140)
- Compact manifolds of nonpositive curvature (1972) (139)
- Some Remarks on the Quasi - local Mass (1988) (135)
- Compact group actions and the topology of manifolds with non-positive curvature (1979) (133)
- Smooth static solutions of the Einstein/Yang-Mills equations (1991) (133)
- Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006) (132)
- Arithmetic properties of mirror map and quantum coupling (1994) (130)
- Decay of Solutions of the Wave Equation in the Kerr Geometry (2005) (129)
- Cohomology and Hodge Theory on Symplectic Manifolds: III (2009) (127)
- On the curvature of compact Hermitian manifolds (1974) (125)
- GKZ-Generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces (1996) (122)
- Lectures on Harmonic Maps (1997) (121)
- Local behavior of Hodge structures at infinity (1997) (119)
- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE (1982) (119)
- Mirror principle III (1999) (119)
- The Poincaré-Lelong equation on complete Kähler manifolds (1981) (116)
- High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm (2007) (116)
- The energy and the linear momentum of space-times in general relativity (1981) (113)
- A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry (1993) (112)
- Brain Surface Conformal Parameterization Using Riemann Surface Structure (2007) (112)
- Computational Conformal Geometry (2016) (112)
- HEAT-EQUATIONS ON MINIMAL SUBMANIFOLDS AND THEIR APPLICATIONS (1984) (111)
- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY (1982) (111)
- Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations (2013) (111)
- Optimal global conformal surface parameterization (2004) (109)
- Review of geometry and analysis (2000) (108)
- A Geometric View of Optimal Transportation and Generative Model (2017) (107)
- Step-sizes for the gradient method (2008) (106)
- Proof of the Positive-Action Conjecture in Quantum Relativity (1979) (102)
- Eigenvalues of elliptic operators and geometric applications (2004) (102)
- Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions (2016) (99)
- Taming symplectic forms and the Calabi–Yau equation (2007) (98)
- Geometric Understanding of Deep Learning (2018) (97)
- Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres (1974) (96)
- Upper bound for the first eigenvalue of algebraic submanifolds (1994) (95)
- A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles (1989) (95)
- Computing Conformal Structure of Surfaces (2002) (95)
- Coverings, Heat Kernels and Spanning Trees (1998) (95)
- Negative holomorphic curvature and positive canonical bundle (2015) (94)
- Balanced metrics on non-Kahler Calabi-Yau threefolds (2008) (94)
- Graph homotopy and Graham homotopy (2001) (94)
- Existence of black hole solutions for the Einstein-Yang/Mills equations (1993) (93)
- Brain Surface Conformal Parameterization With the Ricci Flow (2012) (92)
- Geometry, analysis, and algebraic geometry : forty years of the Journal of Differential Geometry (2009) (91)
- The equivariant Dehn's lemma and loop theorem (1981) (91)
- Mirror maps, modular relations and hypergeometric series II (1995) (90)
- Symplectic Conifold Transitions (2002) (89)
- Logarithmic Harnack Inequalities (1996) (88)
- Mirror symmetry II (1996) (86)
- Dual cones and mirror symmetry for generalized Calabi-Yau manifolds (1996) (86)
- Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs (2000) (86)
- Complete Kahler manifolds with nonpositive curvature of faster than quadratic decay1 (1977) (86)
- Local Heterotic Torsional Models (2008) (85)
- A Monge?Ampère-type equation motivated by string theory (2007) (85)
- Duality and Fibrations on G_2 Manifolds (2002) (84)
- Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration (2014) (84)
- Mirror manifolds and topological field theory (1998) (83)
- Volumetric Harmonic Map (2003) (82)
- The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry (2000) (81)
- Proof That the Bondi Mass is Positive (1982) (81)
- Positivity of quasi-local mass II (2004) (81)
- Particlelike solutions of the Einstein-Dirac equations (1998) (78)
- Optimization of Surface Registrations Using Beltrami Holomorphic Flow (2010) (78)
- Elliptic curves, modular forms & Fermat's last theorem : proceedings of a conference held in the Institute of Mathematics of the Chinese University of Hong Kong (1995) (77)
- On projectively flat Hermitian manifolds (1994) (77)
- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME (1982) (75)
- Independent component analysis-based classification of Alzheimer's disease MRI data. (2011) (74)
- Upper Bounds for Eigenvalues of the Discrete and Continuous Laplace Operators (1996) (74)
- Homotopy theory for digraphs (2014) (73)
- Monodromy calculations of fourth order equations of Calabi-Yau type (2006) (73)
- Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background (1998) (72)
- Global Conformal Parameterization (2003) (70)
- $(1,1)$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions (2015) (70)
- A generalization of Liu-Yau's quasi-local mass (2006) (70)
- Singularities and Gauge Theory Phases (2014) (70)
- Eigenvalues of Graphs and Sobolev Inequalities (1995) (69)
- A special Lagrangian type equation for holomorphic line bundles (2014) (68)
- Homologies of path complexes and digraphs (2012) (68)
- Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients (2014) (67)
- The Existence of Supersymmetric String Theory with Torsion (2004) (66)
- Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings (2013) (66)
- Harnack inequalities for graphs with non-negative Ricci curvature (2012) (64)
- Cohomology of digraphs and (undirected) graphs (2015) (63)
- The existence of negatively Ricci curved metrics on three manifolds (1986) (63)
- Geometry, Analysis and Topology of Discrete Groups (2008) (63)
- Non-existence of continuous convex functions on certain Riemannian manifolds (1974) (63)
- Smoothing 3-folds with trivial canonical bundle and ordinary double points (1998) (62)
- Autoequivalences of derived category of a K3 surface and monodromy transformations (2002) (62)
- Differential geometry inspired by string theory (1999) (61)
- D5 elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory (2011) (61)
- Transformation groups and moduli spaces of curves (2011) (61)
- On the Fundamental Group of Compact Manifolds of Non-Positive Curvature (1971) (61)
- Harmonic mappings and Kähler manifolds (1983) (61)
- Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry (1999) (60)
- Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions (2018) (60)
- Floer homology and mirror symmetry I (2001) (59)
- Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry (2001) (58)
- Three dimensional canonical singularity and ﬁve dimensional N = 1 SCFT (2017) (56)
- Computing quasiconformal maps using an auxiliary metric and discrete curvature flow (2012) (55)
- Calabi-Yau threefolds and complex multiplication (1998) (55)
- Three-dimensional shape measurement using a structured light system with dual cameras (2008) (55)
- Chiral algebra of the Argyres-Douglas theory from M5 branes (2016) (53)
- Singularities and Gauge Theory Phases II (2014) (53)
- The unified discrete surface Ricci flow (2014) (51)
- A remark on our paper "Negative Holomorphic curvature and positive canonical bundle" (2016) (51)
- Generalized Cohomologies and Supersymmetry (2011) (51)
- The legacy of Bernhard Riemann after one hundred and fifty years (2016) (51)
- A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations (2014) (51)
- Geometry of Riemann surfaces and their moduli spaces (2009) (51)
- Volumetric harmonic brain mapping (2004) (50)
- On the Harnack inequalities of partial differential equations (1994) (50)
- Maximal degeneracy points of GKZ systems (1996) (49)
- Geometry of three manifolds and existence of Black Hole due to boundary effect (2002) (47)
- A Harnack inequality for homogeneous graphs and subgraphs (1994) (47)
- Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations (1998) (47)
- Asymptotic form of zero energy wave functions in supersymmetric matrix models (1999) (47)
- Compact flat Riemannian manifolds (1972) (46)
- Affine manifolds, SYZ geometry, and the 'Y' vertex (2004) (46)
- Splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces (1993) (46)
- Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. (1979) (45)
- Eigenvalues and diameters for manifolds and graphs (1997) (44)
- Manifold splines with single extraordinary point (2007) (44)
- Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs (2014) (44)
- Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow (2010) (44)
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory (1998) (43)
- Numerical Computation of Surface Conformal Mappings (2012) (43)
- Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds (2006) (43)
- Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity (2013) (43)
- Gravitational wave memory in de Sitter spacetime (2015) (43)
- The Deformed Hermitian–Yang–Mills Equation in Geometry and Physics (2017) (43)
- Elliptic Virasoro Conformal Blocks (2015) (42)
- Harnack inequality for non-self-adjoint evolution equations (1995) (42)
- Graphs associated with simplicial complexes (2014) (42)
- Three dimensional algebraic manifolds with C1 = 0 and χ = −6 (1987) (42)
- Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case (2001) (41)
- Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics (2018) (41)
- Non-Existence of Black Hole Solutions¶for a Spherically Symmetric, Static Einstein–Dirac–Maxwell System (1998) (41)
- Path Complexes and their Homologies (2020) (41)
- Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra (2010) (41)
- On the isoperimetric inequality for minimal surfaces (1984) (41)
- Holomorphic curves in surfaces of general type. (1990) (41)
- Homologies of digraphs and Künneth formulas (2017) (40)
- Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau (2000) (39)
- A Degenerate Monge--Ampère equation and the Boundary Classes of Kähler Cones (2009) (39)
- Fourier-Mukai number of a K3 surface (2002) (38)
- Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces (2009) (38)
- Surface Quasi-Conformal Mapping by Solving Beltrami Equations (2009) (38)
- Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces (2000) (37)
- On sampling with Markov chains (1996) (37)
- Geometric Accuracy Analysis for Discrete Surface Approximation (2006) (37)
- Surface classification using conformal structures (2003) (37)
- Three dimensional canonical singularity and five dimensional N$$ \mathcal{N} $$ = 1 SCFT (2017) (37)
- Branes, bundles and attractors: Bogomolov and beyond (2006) (37)
- Optimal Global Conformal Surface Parameterization for Visualization (2004) (36)
- Eigenvalue inequalities for graphs and convex subgraphs (1997) (36)
- Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs (2017) (36)
- 4d N = 2 SCFT and singularity theory Part I: Classification (2015) (35)
- A strong rigidity theorem for a certain class of compact complex analytic surfaces (1985) (35)
- Evaluating Quasilocal Energy and Solving Optimal Embedding Equation at Null Infinity (2010) (35)
- Constructing balanced metrics on some families of non-Kahler Calabi-Yau threefolds (2008) (35)
- Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields (1992) (35)
- Minimizing Properties of Critical Points of Quasi-Local Energy (2013) (35)
- Moduli space of torsional manifolds (2006) (34)
- Remarks on conformal transformations (1973) (34)
- Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. (1978) (33)
- Quantum tunneling from three-dimensional black holes (2013) (33)
- Kummer structures on a K3 surface: An old question of T. Shioda (2002) (33)
- Real time solution of nonlinear filtering problem without memory I (2000) (33)
- Fibrewise T-duality for D-branes on elliptic Calabi-Yau (2001) (32)
- Maximal unipotent monodromy for complete intersection CY manifolds (2000) (32)
- Brain Surface Parameterization Using Riemann Surface Structure (2005) (31)
- Finite-dimensional filters with nonlinear drift. III: Duncan-Mortensen-Zakai equation with arbitrary initial condition for the linear filtering system and the Benes filtering system (1997) (31)
- Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation (2010) (31)
- Geometric Compression Using Riemann Surface Structure (2003) (31)
- Curvature and holomorphic mappings of complete Kähler manifolds (1990) (31)
- Remarks on the group of isometries of a Riemannian manifold (1977) (31)
- A near optimal algorithm for edge separators (preliminary version) (1994) (31)
- Conformal Slit Mapping and Its Applications to Brain Surface Parameterization (2008) (30)
- The electromagnetic Christodoulou memory effect and its application to neutron star binary mergers (2011) (30)
- A note on small deformations of balanced manifolds (2011) (30)
- Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds (2005) (30)
- Intrinsic brain surface conformal mapping using a variational method (2004) (30)
- Write-A-Video: Computational Video Montage from Themed Text (2020) (30)
- Surface parameterization using Riemann surface structure (2005) (30)
- Mordell-Weil Torsion, Anomalies, and Phase Transitions (2017) (30)
- An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry (2003) (30)
- Simplicial Ricci Flow (2013) (29)
- 4d N=2 SCFT and singularity theory Part II: Complete intersection (2016) (29)
- Period integrals of CY and general type complete intersections (2011) (29)
- New heterotic non-Kähler geometries (2008) (29)
- An Efficient Energy Minimization for Conformal Parameterizations (2017) (29)
- Harmonic Mappings and Algebraic Varieties Over Function Fields (1993) (29)
- Ricci-flat graphs with girth at least five (2013) (29)
- Local Geometry of the G2 Moduli Space (2008) (29)
- Some Properties of Matrix Harmonics on S2 (1998) (29)
- On the path homology theory of digraphs and Eilenberg–Steenrod axioms (2018) (28)
- Localized Donaldson-Thomas theory of surfaces (2017) (28)
- Modified Calabi-Yau manifolds with torsion (1998) (28)
- Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing (2008) (28)
- Good Geometry on the Curve Moduli (2008) (28)
- Real Time Solution of the Nonlinear Filtering Problem without Memory II (2008) (28)
- Limit of Quasilocal Mass at Spatial Infinity (2009) (27)
- Invariant metrics on negatively pinched complete Kähler manifolds (2017) (27)
- Erratum: Decay of solutions of the wave equation in the kerr geometry (Communications in Mathematical Physics (2006) 264 (465-503 ) doi:10.1007/s00220-006-1525-8) (2008) (27)
- Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration (2013) (27)
- Existence of Solutions to Mean Field Equations on Graphs (2019) (27)
- Picard number, holomorphic sectional curvature, and ampleness (2012) (27)
- Finite Dimensional Filters with Nonlinear Drift, XI: Explicit Solution of the Generalized Kolmogorov Equation in Brockett–Mitter Program☆☆☆ (1998) (27)
- Fourier-Mukai partners of a K3 surface of Picard number one (2002) (27)
- Ae-OT: a New Generative Model based on Extended Semi-discrete Optimal transport (2020) (26)
- Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications (1993) (26)
- Perfect state transfer on graphs with a potential (2016) (26)
- Quantum statistics and spacetime surgery (2016) (26)
- Curvatures of moduli space of curves and applications (2013) (26)
- Obstacle problem for von Kármán equations (1992) (26)
- Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations (2001) (26)
- 4d N=2 SCFT from Complete Intersection Singularity (2016) (26)
- Mirror symmetry for hyper-Kähler manifolds (1998) (26)
- Goodness of canonical metrics on the moduli space of Riemann surfaces (2014) (25)
- Brain Surface Conformal Parameterization with Algebraic Functions (2006) (25)
- Path homology theory of multigraphs and quivers (2018) (25)
- Shape Analysis by Conformal Modules (2008) (25)
- Argyres-Douglas matter and N=2 dualities (2017) (25)
- A Rigorous Treatment of Energy Extraction from a Rotating Black Hole (2007) (25)
- On some problems in several complex variables and CR geometry (2001) (25)
- A Note on ODEs from Mirror Symmetry (1994) (25)
- Intrinsic measures of compact complex manifolds (1975) (25)
- Pretty good quantum state transfer in symmetric spin networks via magnetic field (2017) (25)
- Geometry of three manifolds and existence of Black Hole due to boundary effect (2001) (25)
- Seminar on Differential Geometry. (AM-102) (1982) (24)
- Li-Yau inequality for unbounded Laplacian on graphs (2018) (24)
- Spectral inequalities for partial differential equations and their applications (2012) (24)
- Quasilocal angular momentum and center of mass in general relativity (2013) (24)
- Spanning trees and random walks on weighted graphs (2015) (24)
- Local mirror symmetry at higher genus (2001) (24)
- Slit Map: Conformal Parameterization for Multiply Connected Surfaces (2008) (24)
- Nested Hilbert schemes on surfaces: Virtual fundamental class (2017) (23)
- Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint (2007) (23)
- Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization (2015) (23)
- Non-Kähler SYZ Mirror Symmetry (2014) (23)
- The Role of Partial Differential Equations in Differential Geometry (2010) (23)
- c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product (2002) (23)
- Linear waves in the Kerr geometry: A mathematical voyage to black hole physics (2008) (23)
- Quantum statistics and spacetime topology: Quantum surgery formulas (2019) (23)
- Fundamentals of Computational Conformal Geometry (2010) (22)
- Perspectives in Mathematical Physics (1994) (22)
- Classification of c=2 Rational Conformal Field Theories via the Gauss Product (2002) (22)
- Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding (2014) (22)
- Isoperimetric properties of higher eigenvalues of elliptic operators (2003) (22)
- Geometric singularities and spectra of Landau-Ginzburg models (1991) (22)
- DETECTION OF SHAPE DEFORMITIES USING YAMABE FLOW AND BELTRAMI COEFFICIENTS (2010) (21)
- Shafarevich's Conjecture for CY Manifolds I (2003) (21)
- Discrete Green's functions and random walks on graphs (2013) (21)
- A Degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups (2004) (21)
- On a cohomology of digraphs and Hochschild cohomology (2016) (21)
- 3 D Harmonic Mapping and Tetrahedral Meshing of Brain Imaging Data (2004) (21)
- Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds (2009) (21)
- Sharp Davies–Gaffney–Grigor’yan Lemma on graphs (2016) (21)
- The interaction of Dirac particles with non-abelian gauge fields and gravity – bound states (2000) (21)
- Graph Laplacians, Riemannian manifolds, and their machine-learning (2020) (21)
- Period Integrals and Tautological Systems (2011) (21)
- Ordinary differential equations (1998) (20)
- Mathematics: Its content, methods, and meaning (2014) (20)
- A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations (2017) (20)
- The strong rigidity of locally symmetric complex manifolds of rank one and finite volume (1986) (20)
- Eigenvalues of Laplacians and other geometric operators (2004) (20)
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- A G ] 1 6 A ug 2 01 7 ON TOPOLOGICAL APPROACH TO LOCAL THEORY OF SURFACES IN CALABI-YAU THREEFOLDS (2018) (0)
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- Statistical analysis in genetic association studies of mental illnesses (2012) (0)
- Proceedings of the 4th International Congress of Chinese Mathematicians : Hangzhou 2007, December 17-22 (2008) (0)
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- A G ] 2 8 A pr 2 00 6 UPR-1017-T Branes , Bundles and Attractors : Bogomolov and Beyond (2006) (0)
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- Comparison of Chinese and Japanese Developments in Mathematics during the Late 19th and Early 20th Centuries (2013) (0)
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- President’s speech (2016) (0)
- Set addition and set multiplication (2008) (0)
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- Surveys in differential geometry : proceedings of the conference on geometry and topology held at Harvard University, April 23-25, 1993, sponsored by Lehigh University's Journal of Differential Geometry (1995) (0)
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- 3D data merging using Holoimage (2007) (0)
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- The Construction of a High-Energy Collider (2017) (0)
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- Ricci flow on 4-manifolds and Seiberg-Witten equations (2012) (0)
- Enumerative issues and mirror symmetry (Part III) (1996) (0)
- Preface to Bogomolov special issue (2008) (0)
- Topological and Geometric Tools for the Analysis fo Complex Networks (2013) (0)
- Workshop on Geometric Flows (2006) (0)
- Lectures on Geometry and Topology held at Harvard University, May 3-5, 1996 (1998) (0)
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- A G ] 1 A ug 2 01 9 GLOBAL SHIFTED POTENTIALS FOR MODULI SPACES OF SHEAVES ON CALABI-YAU FOUR-FOLDS (2019) (0)
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- A G ] 8 J ul 2 00 2 COUNTING FOURIER-MUKAI PARTNERS AND APPLICATIONS (2008) (0)
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- One hundred years of general relativity : a jubilee volume on general relativity and mathematics (2015) (0)
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