#468

Most Influential Person

American mathematician from Hong Kong

By AI Staff

Chinese-born Shing-Tung Yau currently holds the title of William Caspar Graustein Professor of Mathematics at Harvard University, where he has worked since 1987. He is also the director of three mathematical institutes in China, including the Yau Mathematical Sciences Center at Tsinghua University. Yau completed his undergraduate education in mathematics at Chinese University of Hong Kong in 1969, then his PhD at the University of California, Berkeley in 1971.

Yau is considered most influential for his work in differential geometry and geometric analysis. Early in his career, Yau proved the Positive Mass Conjecture in the Calabi Conjecture, which has been influential in both mathematics and theoretical physics. Moreover, Yau lends his name (and knowledge) to several discoveries and conjectures, including the Bogomolov–Miyaoka–Yau inequality, the Omori-Yau maximum principle, and the Donaldson-Uhlenbeck-Yau theorem. Beyond his research, Yau is influential as an advocate of mathematics and science education in mainland China and Taiwan, founding the three aforementioned institutes, sitting as chair of the National Center of Theoretical Sciences (in China), and setting up the Hang Lung Award for high school students, along with annual conferences.

For his work, Yau has received numerous awards and honors, including a Fields Medal, a Guggenheim Fellowship, a MacArthur Fellowship, a Crafoord Prize, a United States National Medal of Science, a Wolf Prize in Mathematics, a Marcel Grossmann Award, and membership with the U.S. National Academy of Science and the American Academy of Arts and Sciences.

Yau Mathematical Sciences Center Profile

**Featured in Top Influential Mathematicians Today**

According to Wikipedia, Shing-Tung Yau is a Chinese-American mathematician and the William Caspar Graustein Professor of Mathematics at Harvard University.
Yau was born in Shantou, China, moved to Hong Kong at a young age, and to the United States in 1969. He was awarded the Fields Medal in 1982, in recognition of his contributions to partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered one of the major contributors to the development of modern differential geometry and geometric analysis. The impact of Yau's work can be seen in the mathematical and physical fields of differential geometry, partial differential equations, convex geometry, algebraic geometry, enumerative geometry, mirror symmetry, general relativity, and string theory, while his work has also touched upon applied mathematics, engineering, and numerical analysis.

- On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I* (1978) (2248)
- Mathematics and its applications (2002) (1394)
- On the parabolic kernel of the Schrödinger operator (1986) (1336)
- Mirror symmetry is T duality (1996) (1220)
- Lectures on Differential Geometry (1994) (1200)
- IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE (1998) (1197)
- On the proof of the positive mass conjecture in general relativity (1979) (1049)
- Harmonic functions on complete riemannian manifolds (1975) (842)
- Differential equations on riemannian manifolds and their geometric applications (1975) (836)
- On the existence of hermitian‐yang‐mills connections in stable vector bundles (1986) (825)
- Calabi's conjecture and some new results in algebraic geometry. (1977) (736)
- Proof of the positive mass theorem. II (1981) (632)
- Existence of incompressible minimal surfaces and the topology of three - dimensional manifolds with (1979) (519)
- On the structure of manifolds with positive scalar curvature (1979) (479)
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces (1982) (475)
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces (1976) (454)
- Global conformal surface parameterization (2003) (452)
- On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation (1980) (429)
- Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds (1990) (409)
- On the Schrödinger equation and the eigenvalue problem (1983) (408)
- Conformally flat manifolds, Kleinian groups and scalar curvature (1988) (406)
- A GENERAL SCHWARZ LEMMA FOR KAHLER MANIFOLDS. (1978) (403)
- Genus zero surface conformal mapping and its application to brain surface mapping. (2004) (375)
- Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces (1993) (347)
- Sasaki–Einstein Manifolds and Volume Minimisation (2008) (339)
- Hypersurfaces with constant scalar curvature (1977) (337)
- The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds (2006) (323)
- Submanifolds with Constant Mean Curvature II (1974) (321)
- Curvature estimates for minimal hypersurfaces (1975) (294)
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature (1982) (292)
- Compact kähler manifolds of positive bisectional curvature (1980) (290)
- Essays on mirror manifolds (1992) (268)
- Genus zero surface conformal mapping and its application to brain surface mapping (2004) (263)
- Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces (1995) (262)
- Estimates of eigenvalues of a compact Riemannian manifold (1980) (257)
- Local mirror symmetry: Calculations and interpretations (1999) (255)
- On the regularity of the solution of the n‐dimensional Minkowski problem (1976) (254)
- Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds (1980) (249)
- High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method. (2006) (248)
- Kähler-Einstein metrics on complex surfaces withC1>0 (1987) (246)
- On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u) (1977) (241)
- Seminar on differential geometry (1982) (240)
- The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation (2006) (239)
- Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. (2007) (238)
- Mirror manifolds and topological field theory (1998) (236)
- Mirror Principle I (1997) (236)
- Evolutionary dynamics on any population structure (2017) (232)
- Complete affine hypersurfaces. Part I. The completeness of affine metrics (1986) (231)
- Calabi-Yau four-folds for M- and F-theory compactifications (1996) (224)
- ON THE UPPER ESTIMATE OF THE HEAT KERNEL OF A COMPLETE RIEMANNIAN MANIFOLD (1981) (219)
- Topology of three dimensional manifolds and the embedding problems in minimal surface theory (1980) (218)
- Discrete Green's Functions (2000) (218)
- The existence of embedded minimal surfaces and the problem of uniqueness (1982) (203)
- On univalent harmonic maps between surfaces (1978) (200)
- Complete Kähler manifolds with zero Ricci curvature II (1991) (200)
- Mirror Principle II (1999) (199)
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold (1975) (197)
- A lower bound for the heat kernel (1981) (188)
- Connectedness of the boundary in the AdS / CFT correspondence (1999) (187)
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature (1976) (186)
- BPS states, string duality, and nodal curves on K3 (1996) (186)
- Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction. (2007) (184)
- Surveys in Differential Geometry (1999) (184)
- Lectures on Harmonic Maps (1997) (181)
- THE CLASSICAL PLATEAU PROBLEM AND THE TOPOLOGY OF THREE-DIMENSIONAL MANIFOLDS (1982) (180)
- Mirror symmetry for two parameter models. I (1996) (179)
- Ricci curvature and eigenvalue estimate on locally finite graphs (2010) (177)
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature (1996) (176)
- Nonlinear Analysis In Geometry (1986) (173)
- EXISTENCE OF KAHLER-EINSTEIN METRICS ON COMPLETE KAHLER MANIFOLDS AND THEIR APPLICATIONS TO ALGEBRAIC GEOMETRY (1987) (173)
- Ricci curvature of graphs (2011) (169)
- GPU-assisted high-resolution, real-time 3-D shape measurement. (2006) (163)
- From special Lagrangian to Hermitian–Yang–Mills via Fourier–Mukai transform (2000) (158)
- The existence of a black hole due to condensation of matter (1983) (151)
- Small resolutions of SU(5)-models in F-theory (2011) (150)
- GEOMETRIC ANALYSIS (2005) (150)
- Obstructions to the Existence of Sasaki–Einstein Metrics (2007) (146)
- Special Lagrangians, stable bundles and mean curvature flow (2001) (144)
- An Estimate of the Gap of the First Two Eigenvalues in the Schr (1985) (142)
- Differential Geometry: Partial Differential Equations on Manifolds (1993) (139)
- Positivity of the Total Mass of a General Space-Time (1979) (138)
- Compact manifolds of nonpositive curvature (1972) (134)
- Positivity of quasilocal mass. (2003) (133)
- Canonical Metrics on the Moduli Space of Riemann Surfaces II (2004) (132)
- Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (1986) (131)
- Compact group actions and the topology of manifolds with non-positive curvature (1979) (127)
- Complete Kähler manifolds with zero Ricci curvature. I (1990) (126)
- Topological string partition functions as polynomials (2004) (122)
- Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass (2009) (120)
- Quasilocal mass in general relativity. (2009) (118)
- Positive scalar curvature and minimal hypersurface singularities (2019) (117)
- Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006) (116)
- Arithmetic properties of mirror map and quantum coupling (1996) (116)
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory (1998) (114)
- Mirror principle III (1999) (113)
- Li-Yau inequality on graphs (2013) (112)
- High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm (2007) (110)
- Optimal global conformal surface parameterization (2004) (109)
- On the curvature of compact Hermitian manifolds (1974) (108)
- The Existence of Supersymmetric String Theory with Torsion (2004) (107)
- Some Remarks on the Quasi - local Mass (1988) (107)
- High dynamic range scanning technique (2009) (107)
- The Poincaré-Lelong equation on complete Kähler manifolds (1981) (106)
- Local behavior of Hodge structures at infinity (1997) (103)
- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE (1982) (100)
- The energy and the linear momentum of space-times in general relativity (1981) (100)
- Computational Conformal Geometry (2016) (98)
- Brain Surface Conformal Parameterization Using Riemann Surface Structure (2007) (98)
- Proof of the Positive-Action Conjecture in Quantum Relativity (1979) (96)
- Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations (2013) (96)
- HEAT-EQUATIONS ON MINIMAL SUBMANIFOLDS AND THEIR APPLICATIONS (1984) (96)
- Review of geometry and analysis (2000) (95)
- Cohomology and Hodge Theory on Symplectic Manifolds: III (2012) (94)
- Decay of Solutions of the Wave Equation in the Kerr Geometry (2005) (93)
- Step-sizes for the gradient method (2008) (92)
- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY (1982) (90)
- A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry (1993) (90)
- Coverings, Heat Kernels and Spanning Trees (1999) (88)
- Computing Conformal Structure of Surfaces (2002) (87)
- Eigenvalues of elliptic operators and geometric applications (2004) (86)
- Symplectic Conifold Transitions (2002) (85)
- Mirror symmetry II (1996) (85)
- A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles (1989) (84)
- Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres (1974) (84)
- Brain Surface Conformal Parameterization With the Ricci Flow (2012) (83)
- Existence of black hole solutions for the Einstein-Yang/Mills equations (1993) (83)
- The equivariant Dehn's lemma and loop theorem (1981) (83)
- A Geometric View of Optimal Transportation and Generative Model (2019) (82)
- Smooth static solutions of the Einstein/Yang-Mills equations (1991) (81)
- Upper bound for the first eigenvalue of algebraic submanifolds (1994) (81)
- Taming symplectic forms and the Calabi-Yau equation (2008) (81)
- Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs (2000) (79)
- Logarithmic Harnack Inequalities (1996) (79)
- Negative holomorphic curvature and positive canonical bundle (2015) (78)
- Graph homotopy and Graham homotopy (2001) (77)
- Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions (2016) (77)
- GKZ-Generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces (1996) (76)
- Volumetric Harmonic Map (2003) (76)
- Proof That the Bondi Mass is Positive (1982) (74)
- Positivity of quasi-local mass II (2004) (73)
- Duality and Fibrations on G_2 Manifolds (2002) (73)
- Mirror maps, modular relations and hypergeometric series II (1996) (72)
- Global Conformal Parameterization (2003) (72)
- Complete Kahler manifolds with nonpositive curvature of faster than quadratic decay1 (1977) (71)
- The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry (2003) (70)
- On projectively flat Hermitian manifolds (1994) (69)
- Independent component analysis-based classification of Alzheimer's disease MRI data. (2011) (68)
- Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration (2014) (66)
- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME (1982) (66)
- Upper Bounds for Eigenvalues of the Discrete and Continuous Laplace Operators (1996) (66)
- A Monge?Ampère-type equation motivated by string theory (2007) (65)
- Optimization of Surface Registrations Using Beltrami Holomorphic Flow (2012) (65)
- Geometric Understanding of Deep Learning (2018) (65)
- Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background (2000) (65)
- Local Heterotic Torsional Models (2008) (64)
- Eigenvalues of Graphs and Sobolev Inequalities (1995) (64)
- Singularities and Gauge Theory Phases (2014) (63)
- Monodromy calculations of fourth order equations of Calabi-Yau type (2006) (63)
- A generalization of Liu-Yau's quasi-local mass (2006) (60)
- D5 elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory (2011) (60)
- Harnack inequalities for graphs with non-negative Ricci curvature (2012) (59)
- Harmonic mappings and Kähler manifolds (1983) (59)
- Autoequivalences of derived category of a K3 surface and monodromy transformations (2002) (57)
- Particlelike solutions of the Einstein-Dirac equations (1999) (56)
- $(1,1)$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions (2015) (56)
- Chiral algebra of the Argyres-Douglas theory from M5 branes (2016) (55)
- On the Fundamental Group of Compact Manifolds of Non-Positive Curvature (1971) (55)
- Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry (2000) (54)
- The existence of negatively Ricci curved metrics on three manifolds (1986) (54)
- Homologies of path complexes and digraphs (2013) (54)
- Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings (2013) (53)
- Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds (2006) (53)
- Dual cones and mirror symmetry for generalized Calabi-Yau manifolds (1996) (52)
- A special Lagrangian type equation for holomorphic line bundles (2014) (52)
- 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) (52)
- Smoothing 3-folds with trivial canonical bundle and ordinary double points (1998) (51)
- Homotopy theory for digraphs (2014) (51)
- Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry (2002) (51)
- Non-existence of continuous convex functions on certain Riemannian manifolds (1974) (49)
- Calabi-Yau threefolds and complex multiplication (1998) (49)
- Volumetric harmonic brain mapping (2004) (49)
- Cohomology of digraphs and (undirected) graphs (2015) (48)
- Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations (1998) (47)
- Three-dimensional shape measurement using a structured light system with dual cameras (2008) (47)
- Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions (2018) (46)
- A Harnack inequality for homogeneous graphs and subgraphs (1994) (46)
- A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations (2014) (45)
- Differential geometry inspired by string theory (1999) (45)
- Singularities and Gauge Theory Phases II (2014) (45)
- Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients (2014) (45)
- Computing quasiconformal maps using an auxiliary metric and discrete curvature flow (2012) (43)
- A remark on our paper "Negative Holomorphic curvature and positive canonical bundle" (2016) (42)
- Smooth static solutions of the Einstein-Yang/Mills equation (1991) (42)
- Remarks on conformal transformations (1973) (41)
- High dynamic range scanning technique (2008) (41)
- On the Harnack inequalities of partial differential equations (1994) (41)
- The unified discrete surface Ricci flow (2014) (41)
- Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow (2010) (40)
- Affine manifolds, SYZ geometry, and the 'Y' vertex (2004) (40)
- Negatively 1/4-pinched riemannian metric on a compact Kähler manifold (1991) (40)
- Holomorphic curves in surfaces of general type. (1990) (39)
- Generalized Cohomologies and Supersymmetry (2011) (38)
- Surface Quasi-Conformal Mapping by Solving Beltrami Equations (2009) (38)
- Splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces (1993) (38)
- Geometry, Analysis and Topology of Discrete Groups (2008) (38)
- Three dimensional algebraic manifolds with C1 = 0 and χ = −6 (1987) (38)
- Geometry of three manifolds and existence of Black Hole due to boundary effect (2002) (37)
- Geometry, analysis, and algebraic geometry : forty years of the Journal of Differential Geometry (2009) (37)
- Maximal degeneracy points of GKZ systems (1996) (37)
- Three dimensional canonical singularity and five dimensional N$$ \mathcal{N} $$ = 1 SCFT (2017) (36)
- Non-Existence of Black Hole Solutions¶for a Spherically Symmetric, Static Einstein–Dirac–Maxwell System (1998) (36)
- Picard-Fuchs equations and mirror maps for hypersurfaces (1998) (36)
- Transformation groups and moduli spaces of curves (2011) (36)
- Fourier-Mukai number of a K3 surface (2002) (36)
- Floer homology and mirror symmetry I (2001) (35)
- Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau (2000) (35)
- Numerical Computation of Surface Conformal Mappings (2012) (35)
- On the isoperimetric inequality for minimal surfaces (1984) (35)
- Asymptotic form of zero energy wave functions in supersymmetric matrix models (2000) (35)
- Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case (2001) (35)
- Eigenvalues and diameters for manifolds and graphs (1997) (35)
- Eigenvalue inequalities for graphs and convex subgraphs (1997) (35)
- Elliptic Virasoro Conformal Blocks (2015) (35)
- Surface classification using conformal structures (2003) (35)
- Decay of Solutions of the Wave Equation in the Kerr Geometry (2008) (34)
- Branes, bundles and attractors: Bogomolov and beyond (2006) (34)
- Harnack inequality for non-self-adjoint evolution equations (1995) (34)
- The Deformed Hermitian–Yang–Mills Equation in Geometry and Physics (2018) (34)
- Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics (2018) (34)
- Geometric accuracy analysis for discrete surface approximation (2007) (34)
- Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. (1979) (34)
- Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs (2014) (34)
- Real time solution of nonlinear filtering problem without memory I (2000) (33)
- Gravitational wave memory in de Sitter spacetime (2016) (33)
- Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces (2009) (33)
- A strong rigidity theorem for a certain class of compact complex analytic surfaces (1985) (32)
- Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity (2013) (32)
- Graphs associated with simplicial complexes (2014) (32)
- A Degenerate Monge--Ampère equation and the Boundary Classes of Kähler Cones (2009) (32)
- Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. (1978) (31)
- A near optimal algorithm for edge separators (preliminary version) (1994) (31)
- Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra (2010) (31)
- Compact flat Riemannian manifolds (1972) (30)
- Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields (1992) (30)
- Geometry of three manifolds and existence of Black Hole due to boundary effect (2001) (30)
- Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces (2000) (30)
- Fibrewise T-duality for D-branes on elliptic Calabi-Yau (2001) (30)
- The legacy of Bernhard Riemann after one hundred and fifty years (2016) (30)
- Geometry of Riemann surfaces and their moduli spaces (2009) (30)
- 4d N = 2 SCFT and singularity theory Part I: Classification (2015) (29)
- Evaluating Quasilocal Energy and Solving Optimal Embedding Equation at Null Infinity (2011) (29)
- Intrinsic brain surface conformal mapping using a variational method (2004) (29)
- Brain Surface Parameterization Using Riemann Surface Structure (2005) (29)
- Surface parameterization using Riemann surface structure (2005) (29)
- Remarks on the group of isometries of a Riemannian manifold (1977) (29)
- An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry (2003) (29)
- Homologies of digraphs and Künneth formulas (2017) (28)
- A Rigorous Treatment of Energy Extraction from a Rotating Black Hole (2007) (28)
- Conformal Slit Mapping and Its Applications to Brain Surface Parameterization (2008) (28)
- Minimizing Properties of Critical Points of Quasi-Local Energy (2013) (28)
- Moduli space of torsional manifolds (2007) (28)
- Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds (2005) (28)
- Curvature and holomorphic mappings of complete Kähler manifolds (1990) (27)
- Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs (2017) (27)
- Simplicial Ricci Flow (2014) (27)
- Kummer structures on a K3 surface: An old question of T. Shioda (2002) (27)
- Goodness of canonical metrics on the moduli space of Riemann surfaces (2014) (27)
- Geometric Compression Using Riemann Surface Structure (2003) (27)
- Maximal unipotent monodromy for complete intersection CY manifolds (2000) (27)
- Harmonic Mappings and Algebraic Varieties Over Function Fields (1993) (27)
- Ricci-flat graphs with girth at least five (2013) (27)
- Ancient solutions to Kähler-Ricci flow (2008) (26)
- Brain Surface Conformal Parameterization with Algebraic Functions (2006) (26)
- Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation (2010) (26)
- Local Geometry of the G2 Moduli Space (2009) (26)
- Localized Donaldson-Thomas theory of surfaces (2017) (26)
- Manifold splines with single extraordinary point (2007) (26)
- A note on small deformations of balanced manifolds (2011) (25)
- Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration (2013) (25)
- Mordell-Weil Torsion, Anomalies, and Phase Transitions (2017) (25)
- Integral cohomology and mirror symmetry for Calabi-Yau 3-folds (2006) (25)
- New heterotic non-Kähler geometries (2008) (25)
- Period integrals of CY and general type complete intersections (2011) (25)
- On some problems in several complex variables and CR geometry (2001) (25)
- Quantum tunneling from three-dimensional black holes (2013) (25)
- Constructing balanced metrics on some families of non-Kahler Calabi-Yau threefolds (2008) (25)
- Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications (1993) (25)
- Finite Dimensional Filters with Nonlinear Drift, XI: Explicit Solution of the Generalized Kolmogorov Equation in Brockett–Mitter Program☆☆☆ (1998) (24)
- Real Time Solution of the Nonlinear Filtering Problem without Memory II (2008) (24)
- Seminar on Differential Geometry. (AM-102) (1982) (24)
- Mathematics: Its content, methods, and meaning (2014) (24)
- Picard number, holomorphic sectional curvature, and ampleness (2012) (24)
- Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing (2008) (24)
- Optimal Global Conformal Surface Parameterization for Visualization (2004) (24)
- Obstacle problem for von Kármán equations (1992) (24)
- The electromagnetic Christodoulou memory effect and its application to neutron star binary mergers (2012) (24)
- Modified Calabi-Yau manifolds with torsion (1998) (24)
- New direct method for Kalman-Bucy filtering system with arbitrary initial condition (1994) (24)
- Central charges, symplectic forms, and hypergeometric series in local mirror symmetry (2006) (23)
- A Degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups (2004) (23)
- On sampling with Markov chains (1996) (23)
- Limit of Quasilocal Mass at Spatial Infinity (2009) (23)
- Differential equations, mirror maps and zeta values (2006) (23)
- Nested Hilbert schemes on surfaces: Virtual fundamental class (2017) (22)
- Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations (2001) (22)
- Good Geometry on the Curve Moduli (2008) (22)
- Path Complexes and their Homologies (2020) (22)
- Local mirror symmetry at higher genus (2001) (22)
- Mirror symmetry for hyper-Kähler manifolds (1998) (22)
- Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint (2007) (22)
- Perspectives in Mathematical Physics (1994) (22)
- Intrinsic measures of compact complex manifolds (1975) (22)
- Linear waves in the Kerr geometry: A mathematical voyage to black hole physics (2009) (22)
- Argyres-Douglas matter and N=2 dualities (2017) (22)
- 4d N=2 SCFT and singularity theory Part II: Complete intersection (2016) (21)
- An Efficient Energy Minimization for Conformal Parameterizations (2017) (21)
- 4d N=2 SCFT from Complete Intersection Singularity (2016) (21)
- Geometric singularities and spectra of Landau-Ginzburg models (1991) (21)
- Fourier-Mukai partners of a K3 surface of Picard number one (2002) (21)
- 3 D Harmonic Mapping and Tetrahedral Meshing of Brain Imaging Data (2004) (21)
- Shape Analysis by Conformal Modules (2008) (21)
- Slit Map: Conformal Parameterization for Multiply Connected Surfaces (2008) (21)
- Spanning trees and random walks on weighted graphs (2015) (21)
- 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) (21)
- Derived categories for the working mathematician (2001) (21)
- A Note on ODEs from Mirror Symmetry (1996) (21)
- Ordinary differential equations (1998) (20)
- Uniform texture synthesis and texture mapping using global parameterization (2005) (20)
- Discrete Green's functions and random walks on graphs (2013) (20)
- Quantum statistics and spacetime topology: Quantum surgery formulas (2019) (20)
- Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization (2015) (20)
- Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds (2009) (20)
- Absolute phase-assisted three-dimensional data registration for a dual-camera structured light system. (2008) (20)
- Quantum statistics and spacetime surgery (2020) (20)
- Computing Conformal Invariants: Period Matrices (2003) (20)
- Perfect state transfer on graphs with a potential (2017) (20)
- Isoperimetric properties of higher eigenvalues of elliptic operators (2003) (20)
- The strong rigidity of locally symmetric complex manifolds of rank one and finite volume (1986) (20)
- Four proofs for the Cheeger inequality and graph partition algorithms (2010) (20)
- Smooth static solutions of the Einstein-Yang/Mills equations (1992) (19)
- Categorical mirror symmetry in the elliptic curve (2001) (19)
- Pretty good quantum state transfer in symmetric spin networks via magnetic field (2017) (19)
- c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product (2002) (19)
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