S. Yau

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/ Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck

S. Yau, Chien‐Hao Liu, 2010, 1012.0525.

Special Lagrangians, stable bundles and mean curvature flow

Richard P. Thomas, S. Yau, 2001, math/0104197.

A survey of Calabi-Yau manifolds

S. Yau, 2008 .

Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds

S. Yau, C. Vafa, A. Shapere, 1990 .

Sasaki–Einstein Manifolds and Volume Minimisation

S. Yau, J. Sparks, D. Martelli, 2006, hep-th/0603021.

Submanifolds with Constant Mean Curvature II

S. Yau, 1974 .

Smoothing 3-folds with trivial canonical bundle and ordinary double points

S. Yau, 1998 .

On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*

S. Yau, 1978 .

Special Lagrangian Cycles and Calabi-Yau Transitions

Shing-Tung Yau, Sergei Gukov, Tristan C. Collins, 2021, Communications in Mathematical Physics.

Immersed Lagrangian deformations of a branched covering of a special Lagrangian 3-sphere in a Calabi-Yau 3-fold and its deviation from Joyce's criteria: Potential image-support rigidity of A-branes that wrap around a sL $S^3$

S. Yau, Chien‐Hao Liu, 2011, 1109.1878.

Geometrization program of semilinear elliptic equations

S. Yau, L. Ji, Lo Yang, 2012 .

Special Structures in Riemannian Geometry

S. Yau, Maung Min-Oo, N. Leung, 2008 .

Review of geometry and analysis

Shing-Tung Yau, S. Yau, 2000 .

THE CLASSICAL PLATEAU PROBLEM AND THE TOPOLOGY OF THREE-DIMENSIONAL MANIFOLDS

S. Yau, William H. Meeks, W. H. Meeks, 1982 .

Isoperimetric constants and the first eigenvalue of a compact riemannian manifold

Shing-Tung Yau, S. Yau, 1975 .

Curvature estimates for minimal hypersurfaces

S. Yau, R. Schoen, L. Simon, 1975 .

Proof of the positive mass theorem. II

S. Yau, R. Schoen, 1981 .

Stable surfaces and free boundary marginally outer trapped surfaces

Shing-Tung Yau, Martin Lesourd, Aghil Alaee, 2020, Calculus of Variations and Partial Differential Equations.

Nonlinear Analysis In Geometry

S. Yau, 1986 .

What is computational geometry

Lo Yang, Shing-Tung Yau, S. Yau, 2001 .

A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

Shing-Tung Yau, Mei-Heng Yueh, Tiexiang Li, 2019, SIAM J. Imaging Sci..

Optimal mass transport for geometric modeling based on variational principles in convex geometry

Jian Sun, Shing-Tung Yau, Xianfeng Gu, 2014, Engineering with Computers.

Surface Quasi-Conformal Mapping by Solving Beltrami Equations

Wei Zeng, Shing-Tung Yau, Xianfeng Gu, 2009, IMA Conference on the Mathematics of Surfaces.

Slit Map: Conformal Parameterization for Multiply Connected Surfaces

Shing-Tung Yau, Xianfeng Gu, Xiaotian Yin, 2008, GMP.

Surface parameterization using Riemann surface structure

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

Surface Segmentation Using Global Conformal Structure

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2004, Commun. Inf. Syst..

Existence of incompressible minimal surfaces and the topology of three - dimensional manifolds with

Shing-Tung Yau, Richard Schoen, S. Yau, 1979 .

Extremal Bundles on Calabi–Yau Threefolds

S. Yau, Yang-Hui He, Peng Gao, 2014, 1403.1268.

New heterotic non-Kähler geometries

S. Yau, L. Tseng, M. Becker, 2008, 0807.0827.

The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation

S. Yau, Jixiang Fu, 2006, hep-th/0604063.

Balanced metrics on non-Kahler Calabi-Yau threefolds

S. Yau, Jun Li, Jixiang Fu, 2008, 0809.4748.

On the existence of hermitian‐yang‐mills connections in stable vector bundles

Karen K. Uhlenbeck, S. Yau, 1986 .

Non-Kähler Calabi-Yau Manifolds

S. Yau, L. Tseng, 2011 .

Heterotic String Compactification and New Vector Bundles

S. Yau, Hai Lin, Baosen Wu, 2014, 1412.8000.

A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold

S. Yau, Chien‐Hao Liu, 2013, 1302.2054.

A G ] 8 J un 2 00 6 UPR-1017-T Branes , Bundles and Attractors : Bogomolov and Beyond

S. Yau, R. Reinbacher, Michael R Douglas, 2006 .

A G ] 2 8 A pr 2 00 6 UPR-1017-T Branes , Bundles and Attractors : Bogomolov and Beyond

S. Yau, R. Reinbacher, Michael R Douglas, 2006 .

Positivity of the Bondi mass in Bondi's radiating spacetimes

S. Yau, Xiao Zhang, Wenjie Huang, 2006, math/0604155.

Geometric Accuracy Analysis for Discrete Surface Approximation

Shing-Tung Yau, Wei Zeng, Wei Luo, 2006, GMP.

Discrete Green's Functions

Shing-Tung Yau, Fan Chung Graham, F. Graham, 2000, J. Comb. Theory, Ser. A.

GPU-assisted high-resolution, real-time 3-D shape measurement.

Song Zhang, Shing-Tung Yau, Dale Royer, 2006, Optics express.

On the curvature of compact Hermitian manifolds

S. Yau, 1974 .

Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models

S. Yau, J. Hoppe, 1998, hep-th/9806152.

D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theory

S. Yau, Chien‐Hao Liu, 2014, 1412.0771.

Lectures on special Lagrangian submanifolds

S. Yau, C. Vafa, 2001 .

Communications in Mathematical Physics Calabi – Yau Volumes and Reflexive Polytopes

S. Yau, Yang-Hui He, Rak-Kyeong Seong, 2018 .

Calabi–Yau Volumes and Reflexive Polytopes

S. Yau, Yang-Hui He, Rak-Kyeong Seong, 2017, 1704.03462.

Existence of black hole solutions for the Einstein-Yang/Mills equations

S. Yau, J. Smoller, A. Wasserman, 1993 .

Ollivier Ricci-flow on weighted graphs

S. Yau, Linyuan Lu, Zhiyu Wang, 2020, 2010.01802.

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Shing-Tung Yau, Juven Wang, Kai Xu, 2021 .

Higher-Rank Non-Abelian Tensor Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether's Theorem, and Gauge

S. Yau, Juven C. Wang, Kai Xu, 2019, 1911.01804.

$N=1$ fermionic D3-branes in RNS formulation I. $C^\infty$-Algebrogeometric foundations of $d=4$, $N=1$ supersymmetry, SUSY-rep compatible hybrid connections, and $\widehat{D}$-chiral maps from a $d=4$ $N=1$ Azumaya/matrix superspace

S. Yau, Chien‐Hao Liu, 2018, 1808.05011.

Dynamics of D-branes II. The standard action --- an analogue of the Polyakov action for (fundamental, stacked) D-branes

S. Yau, Chien‐Hao Liu, 2017, 1704.03237.

D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds

S. Yau, Chien‐Hao Liu, 2014, 1406.0929.

D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck

S. Yau, Chien‐Hao Liu, 2010, 1003.1178.

Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces

S. Yau, B. Lian, Si Li, 2009, 0910.4215.

Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck

S. Yau, Chien‐Hao Liu, 2009, 0907.0268.

Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint

S. Yau, Chien‐Hao Liu, 2007, 0709.1515.

Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces

S. Yau, S. Theisen, S. Thiesen, 1993, hep-th/9308122.

Surface Eigenvalues with Lattice-Based Approximation In comparison with analytical solution

S. Yau, Tianqi Wu, Yingying Wu, 2022, ArXiv.

Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices

S. Yau, Wen-Wei Lin, Tie-xiang Li, 2021 .

Physicists' $d=3+1$, $N=1$ superspace-time and supersymmetric QFTs from a tower construction in complexified ${\Bbb Z}/2$-graded $C^\infty$-Algebraic Geometry and a purge-evaluation/index-contracting map

S. Yau, Chien‐Hao Liu, 2019, 1902.06246.

Obstructions to the Existence of Sasaki–Einstein Metrics

S. Yau, J. Sparks, J. Gauntlett, 2006, hep-th/0607080.

Proof That the Bondi Mass is Positive

S. Yau, R. Schoen, 1982 .

Small resolutions of SU(5)-models in F-theory

S. Yau, M. Esole, 2011, 1107.0733.

PhyloTransformer: A Discriminative Model for Mutation Prediction Based on a Multi-head Self-attention Mechanism pdf

Shing-Tung Yau, Shusheng Xu, Yi Wu, 2021, ArXiv.

Evolutionary dynamics on any population structure

Martin A. Nowak, Shing-Tung Yau, Naghmeh Momeni, 2016, Nature.

Conserved quantities in general relativity -- the view from null infinity

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2022, 2204.04010.

C O ] 1 1 Ju l 2 01 3 Nodal geometry of graphs on surfaces

S. Yau, Yong Lin, Gábor Lippner, 2017 .

Nodal domain and eigenvalue multiplicity of graphs

Shing-Tung Yau, Hao Xu, S. Yau, 2012 .

Nodal geometry of graphs on surfaces

S. Yau, Yong Lin, Gábor Lippner, 2010, 1307.3226.

Path Topology in Molecular and Materials Sciences.

S. Yau, Feng Pan, G. Wei, 2023, The journal of physical chemistry letters.

Path Complexes and their Homologies

S. Yau, A. Grigor’yan, Yong Lin, 2020 .

Approximations for color-covering problems

Lo Yang, Shing-Tung Yau, S. Yau, 2001 .

Perspectives in Mathematical Physics

Shing-Tung Yau, Robert C. Penner, S. Yau, 1994 .

Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature

Shing-Tung Yau, Richard L. Shoen, S. Yau, 1976 .

Well-posedness and control of the Korteweg-de Vries equation on a bounded domain

S. Yau, L. Ji, Lo Yang, 2012 .

Gauss–Manin Connection in Disguise: Calabi–Yau Threefolds

S. Yau, H. Movasati, E. Scheidegger, 2014, Communications in Mathematical Physics.

Elliptic Virasoro Conformal Blocks

S. Yau, A. Iqbal, C. Kozçaz, 2015, 1511.00458.

Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino term

S. Yau, Chien‐Hao Liu, 2016, 1606.08529.

INVARIANT METRICS ON NEGATIVELY PINCHED COMPLETE KÄHLER MANIFOLDS

S. Yau, 2019 .

Negative holomorphic curvature and positive canonical bundle

S. Yau, Damin Wu, 2015, Inventiones mathematicae.

Negative holomorphic curvature and positive canonical bundle

S. Yau, Damin Wu, 2015, 1505.05802.

Canonical Metrics on the Moduli Space of Riemann Surfaces II

S. Yau, Kefeng Liu, Xiaofeng Sun, 2004, math/0409220.

Applications of Nevanlinna theory to geometric problems

S. Yau, Z. Xin, K. Lau, 2008 .

Investigating the role of eye movements and physiological signals in search satisfaction prediction using geometric analysis

Yiqun Liu, Shing-Tung Yau, Yen-Hsi Richard Tsai, 2019, J. Assoc. Inf. Sci. Technol..

Intelligent and informative scientific computing, trends and examples

Zhouping Xin, Shing-Tung Yau, Ka-Sing Lau, 2008 .

Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction.

Xiaolin Li, Song Zhang, Shing-Tung Yau, 2007, Applied optics.

High-resolution, real-time 3D absolute coordinate measurement based on a phase-shifting method.

Song Zhang, Shing-Tung Yau, S. Yau, 2006, Optics express.

Kähler-Einstein metrics on complex surfaces withC1>0

S. Yau, G. Tian, 1987 .

Singularity, Sasaki-Einstein manifold, Log del Pezzo surface and $\mathcal{N}=1$ AdS/CFT correspondence: Part I

S. Yau, Dan Xie, 2019, 1903.00150.

Vortices in two-dimensional Bose-Einstein condensates

S. Yau, Shuxing Chen, 2002 .

Quantum statistics and spacetime surgery

S. Yau, X. Wen, Juven C. Wang, 2016, 1602.05951.

Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions

S. Yau, Hai Lin, Meng Guo, 2018, 1801.05416.

Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions

S. Yau, Juven C. Wang, P. Putrov, 2016, 1612.09298.

Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices

S. Yau, Juven C. Wang, 2019, Physical Review Research.

Calabi's conjecture and some new results in algebraic geometry.

S. Yau, S T Yau, 1977, Proceedings of the National Academy of Sciences of the United States of America.

Quasilocal angular momentum and center of mass in general relativity

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2013, 1312.0990.

Isometric Embeddings into the Minkowski Space and New Quasi-Local Mass

S. Yau, Mu-Tao Wang, 2008, 0805.1370.

Positivity of quasi-local mass II

Chiu-Chu Melissa Liu, S. Yau, 2004, math/0412292.

Three dimensional canonical singularity and ﬁve dimensional N = 1 SCFT

S. Yau, Dan Xie, 2017 .

4d N = 2 SCFT and singularity theory Part I: Classification

S. Yau, Dan Xie, 2015, 1510.01324.

Monodromy calculations of fourth order equations of Calabi-Yau type

Shing-Tung Yau, Noriko Yui, James D. Lewis, 2006 .

A G ] 1 6 A ug 2 01 7 ON TOPOLOGICAL APPROACH TO LOCAL THEORY OF SURFACES IN CALABI-YAU THREEFOLDS

Chiu-Chu Melissa Liu, S. Yau, A. Sheshmani, 2018 .

On topological approach to local theory of surfaces in Calabi-Yau threefolds

Chiu-Chu Melissa Liu, S. Yau, A. Sheshmani, 2016, 1609.04363.

Mordell-Weil Torsion, Anomalies, and Phase Transitions

S. Yau, M. Kang, M. Esole, 2017, 1712.02337.

Building Blocks for Generalized Heterotic/F-theory Duality

S. Yau, Hai Lin, J. Heckman, 2013, 1311.6477.

Non-Holomorphic Cycles and Non-BPS Black Branes

S. Yau, C. Vafa, A. Sheshmani, 2021, Communications in Mathematical Physics.

and Volume Minimisation

S. Yau, J. Sparks, D. Martelli, 2008 .

Singularities and Gauge Theory Phases II

S. Yau, M. Esole, Shu-Heng Shao, 2014, 1407.1867.

Singularities and Gauge Theory Phases

S. Yau, M. Esole, Shu-Heng Shao, 2014, 1402.6331.

On the Schrödinger equation and the eigenvalue problem

Shing-Tung Yau, S. Yau, Peter Li, 1983 .

Complex geometry: Its brief history and its future

S. Yau, 2005 .

Harmonic maps and Kähler geometry

S. Yau, J. Jost, 1991 .

Chapter VIII The Equivariant Loop Theorem for Three-Dimensional Manifolds and a Review of the Existence Theorems for Minimal Surfaces

S. Yau, William H. Meeks, W. H. Meeks, 1984 .

Complete Kähler manifolds with zero Ricci curvature II

S. Yau, G. Tian, 1991 .

The Coupling of Gravity to Spin and Electromagnetism

S. Yau, J. Smoller, F. Finster, 1999, gr-qc/9906032.

Pretty good quantum state transfer in symmetric spin networks via magnetic field

Shing-Tung Yau, Mark Kempton, Gabor Lippner, 2017, Quantum Inf. Process..

Hyperbolic Harmonic Mapping for Surface Registration

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2017, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Brain Surface Conformal Parameterization With the Ricci Flow

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2012, IEEE Transactions on Medical Imaging.

Conformal Slit Mapping and Its Applications to Brain Surface Parameterization

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2008, MICCAI.

Brain Surface Conformal Parameterization Using Riemann Surface Structure

Lok Ming Lui, Paul M. Thompson, Arthur W. Toga, 2007, IEEE Transactions on Medical Imaging.

Brain Surface Conformal Parameterization with Algebraic Functions

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2006, MICCAI.

K stability and stability of chiral ring

Tristan C. Collins, S. Yau, Dan Xie, 2016, 1606.09260.

4d N=2 SCFT and singularity theory Part III: Rigid singularity

S. Yau, S. Yau, Huaiqing Zuo, 2017, 1712.00464.

A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations

Shing-Tung Yau, Wen-Wei Lin, Xianfeng Gu, 2013, J. Sci. Comput..

Upper bound for the first eigenvalue of algebraic submanifolds

S. Yau, Peter Li, J. Bourguignon, 1994 .

Three dimensional algebraic manifolds with C1 = 0 and χ = −6

S. Yau, G. Tian, 1987 .

Remembering Raoul Bott

S. Smale, David Mumford, S. Yau, 2013 .

Spectral inequalities for partial differential equations and their applications

S. Yau, L. Ji, Lo Yang, 2012 .

Differential zeros of period integrals and generalized hypergeometric functions

S. Yau, B. Lian, An Huang, 2017, 1709.00713.

The Strominger system in the square of a K\"ahler class

Tristan C. Collins, S. Yau, Sebastien Picard, 2022, 2211.03784.

Stability of the tangent bundle through conifold transitions

Shing-Tung Yau, Tristan C. Collins, Sebastien Picard, 2021, Communications on Pure and Applied Mathematics.

Global stability of spacetimes with supersymmetric compactifications

S. Yau, L. Andersson, P. Blue, 2020, 2006.00824.

From Riemann and Kodaira to Modern Developments on Complex Manifolds

S. Yau, 2016, Japanese Journal of Mathematics.

Heterotic String Compactification and New Vector Bundles

S. Yau, Hai Lin, Baosen Wu, 2016, Communications in Mathematical Physics.

From Riemann and Kodaira to Modern Developments on Complex Manifolds

S. Yau, 2015 .

A Brief History of Kähler Geometry

S. Yau, 2015 .

D5 elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory

S. Yau, M. Esole, J. Fullwood, 2011, 1110.6177.

A Monge?Ampère-type equation motivated by string theory

S. Yau, Jixiang Fu, 2007 .

Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds

S. Yau, Jixiang Fu, 2005, hep-th/0509028.

Geometric singularities and spectra of Landau-Ginzburg models

S. Yau, B. Greene, S. Roan, 1991 .

Linear waves in the Kerr geometry: A mathematical voyage to black hole physics

S. Yau, J. Smoller, F. Finster, 2008, 0801.1423.

The existence of a black hole due to condensation of matter

S. Yau, R. Schoen, 1983 .

Transformation of mass-angular momentum aspect under BMS transformations

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2023, 2305.04617.

Evolution of Angular Momentum and Center of Mass at Null Infinity

Shing-Tung Yau, Po-Ning Chen, Ye-Kai Wang, 2021, Communications in Mathematical Physics.

Quasi-local mass on unit spheres at spatial infinity

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2019, Communications in Analysis and Geometry.

Quasi-local mass at the null infinity of the Vaidya spacetime

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2016, 1608.06165.

Quasi-local energy in presence of gravitational radiation

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2016, 1603.08860.

Conserved Quantities in General Relativity: From the Quasi-Local Level to Spatial Infinity

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2013, Communications in Mathematical Physics.

Minimizing Properties of Critical Points of Quasi-Local Energy

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2013, 1302.5321.

Positivity of quasilocal mass.

Chiu-Chu Melissa Liu, S. Yau, 2003, Physical review letters.

BMS Charges Without Supertranslation Ambiguity

Shing-Tung Yau, Po-Ning Chen, Ye-Kai Wang, 2021, Communications in Mathematical Physics.

Supertranslation invariance of angular momentum

Shing-Tung Yau, Po-Ning Chen, Ye-Kai Wang, 2021, Advances in Theoretical and Mathematical Physics.

Evaluating quasi-local angular momentum and center-of-mass at null infinity

S. Yau, Ye-Kai Wang, Jordan Keller, 2018, Advances in Theoretical and Mathematical Physics.

Cross-section continuity of definitions of angular momentum

S. Yau, R. Wald, Mu-Tao Wang, 2022, Classical and Quantum Gravity.

Geometric Inequalities for Quasi-Local Masses

S. Yau, M. Khuri, Aghil Alaee, 2019, Communications in Mathematical Physics.

Quasi-local energy with respect to de Sitter/anti-de Sitter reference

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2016, Communications in Analysis and Geometry.

Evaluating Small Sphere Limit of the Wang–Yau Quasi-Local Energy

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2017, Communications in Mathematical Physics.

Wang and Yau’s quasi-local energy for an extreme Kerr spacetime

S. Yau, W. Miller, Shannon Ray, 2017, 1708.07532.

Ju l 2 02 1 BMS CHARGES WITHOUT SUPERTRANSLATION AMBIGUITY

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2021 .

Limit of Quasilocal Mass at Spatial Infinity

S. Yau, Mu-Tao Wang, 2009, 0906.0200.

Supertranslation invariance of angular momentum at null infinity in double null gauge

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2022, 2204.03182.

Positivity of the Total Mass of a General Space-Time

S. Yau, R. Schoen, 1979 .

Particlelike solutions of the Einstein-Dirac equations

S. Yau, J. Smoller, F. Finster, 1998, gr-qc/9801079.

Gross-Zagier formula and arithmetic fundamental lemma

S. Yau, L. Ji, Lo Yang, 2012 .

Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a $B$-field background à la Polchinski-Grothendieck Ansatz

S. Yau, Chien‐Hao Liu, 2009, 0909.2291.

Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore vs. Polchinski-Grothendieck

S. Yau, Chien‐Hao Liu, 2009, 0901.0342.

Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological D-strings as a master object for curves

S. Yau, Chien‐Hao Liu, Si Li, 2008, 0809.2121.

Geometry, analysis, and algebraic geometry : forty years of the Journal of Differential Geometry

S. Yau, H. Cao, 2009 .

Derived equivalence for stratified Mukai flop on (2,4)

James D. Lewis, S. Yau, N. Yui, 2006 .

Derived categories for the working mathematician

S. Yau, C. Vafa, 2001 .

Nested Hilbert schemes on surfaces: Virtual fundamental class

S. Yau, A. Sheshmani, Amin Gholampour, 2017, Advances in Mathematics.

Higher rank flag sheaves on Surfaces and Vafa-Witten invariants

S. Yau, A. Sheshmani, 2019, 1911.00124.

Weil-Petersson geometry on the space of Bridgeland stability conditions

S. Yau, Yu-Wei Fan, A. Kanazawa, 2017, 1708.02161.

Atiyah class and sheaf counting on local Calabi Yau fourfolds

S. Yau, A. Sheshmani, D. Diaconescu, 2018, 1810.09382.

Handbook of group actions

S. Yau, A. Papadopoulos, L. Ji, 2015 .

The geometry on smooth toroidal compactifications of Siegel varieties

S. Yau, Yi Zhang, 2012, 1201.3785.

Localized Donaldson-Thomas theory of surfaces

S. Yau, A. Sheshmani, Amin Gholampour, 2017, American Journal of Mathematics.

LOCALIZED DONALDSON-THOMAS THEORY OF SURFACES AMIN GHOLAMPOUR AND ARTAN SHESHMANI AND SHING-TUNG YAU

S. Yau, A. Sheshmani, 2019 .

Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)

S. Yau, A. Sheshmani, L. Katzarkov, 2020, 2007.13194.

D0-brane realizations of the resolution of a reduced singular curve

S. Yau, Chien‐Hao Liu, 2011, 1111.4707.

Mirror symmetry for hyper-Kähler manifolds

L. Vinet, S. Yau, D. Phong, 1998 .

A G ] 1 S ep 2 02 1 Semiorthogonal decomposition of D b ( Bun L 2 )

S. Yau, Kai Xu, 2021 .

A G ] 3 0 A ug 2 02 1 Semiorthogonal decomposition of D b ( Bun L 2 )

S. Yau, Kai Xu, 2021 .

The strong rigidity of locally symmetric complex manifolds of rank one and finite volume

S. Yau, J. Jost, 1986 .

COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME

S. Yau, Y. Siu, 1982 .

Floer homology and mirror symmetry I

S. Yau, C. Vafa, 2001 .

The Structure of Manifolds with Positive Scalar Curvature

S. Yau, R. Schoen, 1987 .

On the structure of manifolds with positive scalar curvature

S. Yau, R. Schoen, 1979 .

Open problems and surveys of contemporary mathematics

Shing-Tung Yau, Yat Sun Poon, Lizhen Ji, 2013 .

Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms

S. Yau, A. Sheshmani, L. Katzarkov, 2019, 1908.00651.

Global shifted potentials for moduli spaces of sheaves on CY4

S. Yau, A. Sheshmani, D. Borisov, 2019 .

Representations of metaplectic groups

S. Yau, L. Ji, Lo Yang, 2012 .

On a cohomology of digraphs and Hochschild cohomology

S. Yau, A. Grigor’yan, Y. Muranov, 2016 .

Graph homotopy and Graham homotopy

Shing-Tung Yau, Yeong-Nan Yeh, Beifang Chen, 2001, Discret. Math..

On projectively flat Hermitian manifolds

S. Yau, Jun Li, F. Zheng, 1994 .

Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics

Tristan C. Collins, S. Yau, 2018, Annals of PDE.

A special Lagrangian type equation for holomorphic line bundles

S. Yau, Adam Jacob, 2014, 1411.7457.

Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case

S. Yau, C. Vafa, 2001 .

Differential Geometry: Geometry in Mathematical Physics and Related Topics

R. Greene, S. Yau, 1993 .

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles

Karen K. Uhlenbeck, S. Yau, 1989 .

Geometry and Physics

S. Yau, 2017 .

The legacy of Bernhard Riemann after one hundred and fifty years

S. Yau, F. Oort, L. Ji, 2016 .

On Strominger Kähler-like manifolds with degenerate torsion

S. Yau, F. Zheng, Quanting Zhao, 2019, Transactions of the American Mathematical Society.

A G ] 1 A ug 2 01 9 GLOBAL SHIFTED POTENTIALS FOR MODULI SPACES OF SHEAVES ON CALABI-YAU FOUR-FOLDS

S. Yau, A. Sheshmani, D. Borisov, 2019 .

Compact kähler manifolds of positive bisectional curvature

S. Yau, Y. Siu, 1980 .

Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings

S. Yau, Jie Zhou, E. Scheidegger, 2013, 1306.0002.

Notes on orbifold Gromov-Witten theory

S. Yau, L. Ji, Lo Yang, 2012 .

Topological string partition functions as polynomials

S. Yau, S. Yamaguchi, 2004, hep-th/0406078.

A note on enumerating rational curves in a K3 surface

S. Yau, Shuxing Chen, 2002 .

Differential geometry inspired by string theory

S. Yau, 1999 .

Compactified moduli spaces of pseudo-holomorphic curves

L. Vinet, S. Yau, D. Phong, 1998 .

Seminar on differential geometry

S. Yau, 1982 .

Complete Kähler manifolds with zero Ricci curvature. I

S. Yau, G. Tian, 1990 .

Holomorphic curves in surfaces of general type.

S. Yau, S. Lu, 1990, Proceedings of the National Academy of Sciences of the United States of America.

Hasse–Witt matrices, unit roots and period integrals

S. Yau, B. Lian, An Huang, 2018, Mathematische Annalen.

Algebraic dynamics, canonical heights and Arakelov geometry

S. Yau, L. Ji, Lo Yang, 2012 .

The Minkowski Formula and the Quasi-Local Mass

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2019, Annales Henri Poincaré.

The Minkowski Formula and the Quasi-Local Mass

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2018, Annales Henri Poincaré.

Minimizing Properties of Critical Points of Quasi-Local Energy

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2014, Communications in Mathematical Physics.

Handbook of group actions, Vol. V

S. Yau, A. Papadopoulos, L. Ji, 2020 .

Geometry of three manifolds and existence of Black Hole due to boundary effect

S. Yau, 2001, math/0109053.

Energy-momentum surface density and quasilocal mass in general relativity

S. Yau, Mu-Tao Wang, 2008 .

Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces

Shing-Tung Yau, S. Yau, Shiu-yuen Cheng, 1976 .

Differential equations on riemannian manifolds and their geometric applications

S. Yau, Shiu-yuen Cheng, 1975 .

Geometry, Analysis and Topology of Discrete Groups

S. Yau, Kefeng Liu, L. Ji, 2008 .

A GENERAL SCHWARZ LEMMA FOR KAHLER MANIFOLDS.

Shing-Tung Yau, S. Yau, 1978 .

Complete cscK Metrics on the Local Models of the Conifold Transition

S. Yau, Jixiang Fu, Wubin Zhou, 2015 .

A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

S. Yau, J. Jost, 1993 .

Geometry of Riemann surfaces and their moduli spaces

S. Yau, S. Wolpert, L. Ji, 2009 .

Hyperkähler manifolds and birational transformations

S. Yau, Y. Hu, 2001, Advances in Theoretical and Mathematical Physics.

Mirror manifolds and topological field theory

S. Yau, 1998 .

Picard-Fuchs equations and mirror maps for hypersurfaces

S. Yau, 1998 .

Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande

S. Yau, Chien‐Hao Liu, Yu-jong Tzeng, 2011, 1104.0280.

Resolution of orbifold singularities in string theory

S. Yau, B. Greene, 1996 .

A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations

S. Yau, M. Kang, M. Esole, 2014, 1410.0003.

The existence of negatively Ricci curved metrics on three manifolds

Shing-Tung Yau, S. Yau, L. Zhiyong Gao, 1986 .

The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes.

S. Yau, J. Smoller, F. Finster, 1999, gr-qc/9910047.

Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background

S. Yau, J. Smoller, F. Finster, 1998, gr-qc/9805050.

Seminar on Differential Geometry. (AM-102)

S. Yau, 1982 .

K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds

S. Yau, B. Greene, 1996 .

Power generatedness of a holomorphic line bundle and an application to complex-contact manifolds

S. Yau, S. Salamon, C. LeBrun, 2021 .

A Construction of stable bundles and reflexive sheaves on Calabi-Yau threefolds

S. Yau, Baosen Wu, 2014, 1405.5676.

The real regulator for a product of 3 surfaces

Shing-Tung Yau, James D. Lewis, Noriko Yui, 2006 .

Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups

S. Yau, Z. Xin, K. Lau, 2008 .

String theory on K3 surfaces

S. Yau, B. Greene, 1996 .

Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics

Tristan C. Collins, S. Yau, 2021, Annals of PDE.

Loop symmetric functions and factorizing matrix polynomials

S. Yau, L. Ji, Lo Yang, 2012 .

On the rigidity of certain discrete groups and algebraic varieties

S. Yau, J. Jost, 1987 .

Structure of Manifolds with Positive Curvature Based on Geometric Analysis

S. Yau, 2013 .

Splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces

S. Yau, 1993 .

Hodge bundles on smooth compactifications of Siegel varieties and applications

S. Yau, Yi Zhang, 2012, Notices of the International Congress of Chinese Mathematicians.

ON THE UPPER ESTIMATE OF THE HEAT KERNEL OF A COMPLETE RIEMANNIAN MANIFOLD

Shing-Tung Yau, S. Yau, Peter Li, 1981 .

REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS

R. DeVore, Chi-Wang Shu, Axel Ruhe, 1990 .

Teichmüller Shape Space Theory and Its Application to Brain Morphometry

Paul M. Thompson, Arthur W. Toga, Yalin Wang, 2009, MICCAI.

Super $$J$$-holomorphic curves: construction of the moduli space

Shing-Tung Yau, Enno Kessler, Artan Sheshmani, 2019, Mathematische Annalen.

Computing Conformal Structure of Surfaces

Shing-Tung Yau, Xianfeng Gu, S. Yau, 2002, Commun. Inf. Syst..

Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications

Shing-Tung Yau, Ya Yan Lu, S. Yau, 1993, SIAM J. Sci. Comput..

On the sum of Ricci-curvatures for weighted graphs

Linyuan Lu, Shing-Tung Yau, Shuliang Bai, 2020, Pure and Applied Mathematics Quarterly.

The Electromagnetic Christodoulou Memory Effect in Neutron Star Binary Mergers

S. Yau, L. Bieri, Po-Ning Chen, 2011, 1105.6054.

Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation

S. Yau, L. Bieri, Po-Ning Chen, 2010, 1011.2267.

Non-Kähler SYZ Mirror Symmetry

S. Yau, Siu-Cheong Lau, L. Tseng, 2014, 1409.2765.

On deformations of Fano manifolds

S. Yau, Yingying Zhang, H. Cao, 2021, Mathematische Annalen.

On deformations of Fano manifolds

S. Yau, Yingying Zhang, H. Cao, 2020, Mathematische Annalen.

Weil-Petersson metrics on deformation spaces

S. Yau, Y. Zhang, H. Cao, 2020 .

The electromagnetic Christodoulou memory effect and its application to neutron star binary mergers

S. Yau, L. Bieri, Po-Ning Chen, 2011, 1110.0410.

Generalized Cohomologies and Supersymmetry

S. Yau, L. Tseng, 2011, 1111.6968.

SOME NEGATIVELY CURVED COMPLEX GEOMETRY

S. Yau, Wu Damin, 2019 .

A Degenerate Monge--Ampère equation and the Boundary Classes of Kähler Cones

S. Yau, F. Zheng, Damin Wu, 2009 .

The Role of Partial Differential Equations in Differential Geometry

S. Yau, 2010 .

Remarks on the group of isometries of a Riemannian manifold

S. Yau, 1977 .

Geometry of moduli spaces

S. Yau, J. Bourguignon, Kefeng Liu, 2019 .

Goodness of canonical metrics on the moduli space of Riemann surfaces

S. Yau, Kefeng Liu, Xiaofeng Sun, 2014 .

New results on the geometry of the moduli space of Riemann surfaces

S. Yau, Kefeng Liu, Xiaofeng Sun, 2008 .

Geometric aspects of the moduli space of riemann surfaces

S. Yau, Kefeng Liu, Xiaofeng Sun, 2004, math/0411247.

Curvatures of moduli space of curves and applications

S. Yau, Kefeng Liu, Xiaofeng Sun, 2013, 1312.6932.

Harmonic mappings and moduli spaces of Riemann surfaces

S. Yau, J. Jost, 2009 .

The equivariant Dehn's lemma and loop theorem

S. Yau, William H. Meeks, W. H. Meeks, 1981 .

Some Properties of Matrix Harmonics on S2

S. Yau, J. Hoppe, 1998 .

Complete affine hypersurfaces. Part I. The completeness of affine metrics

S. Yau, Shiu-yuen Cheng, 1986 .

On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

Shing-Tung Yau, S. Yau, Shiu-yuen Cheng, 1977 .

Semicontinuity of 4d N = 2 spectrum under renormalization group (cid:13)ow

S. Yau, Dan Xie, 2016 .

Pretty good quantum state transfer in symmetric spin networks via magnetic field

S. Yau, Mark Kempton, Gábor Lippner, 2017, Quantum Information Processing.

Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations

S. Yau, J. Smoller, F. Finster, 1998, gr-qc/9802012.

Volumetric Harmonic Map

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2003, Commun. Inf. Syst..

A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"

S. Yau, Damin Wu, 2016, 1609.01377.

High-resolution, real-time-geometry video acquisition system

Shing-Tung Yau, Song Zhang, Dale Royer, 2006, SIGGRAPH '06.

Ricci-flat graphs with maximum degree at most $4$

Linyuan Lu, Shing-Tung Yau, Shuliang Bai, 2021, Asian Journal of Mathematics.

Graph Laplacians, Riemannian manifolds, and their machine-learning

Shing-Tung Yau, Yang-Hui He, S. Yau, 2020, Mathematics, Computation and Geometry of Data.

A brief review on geometry and spectrum of graphs

S. Yau, Yong Lin, 2012, 1204.3168.

A Harnack inequality for Dirichlet eigenvalues

Shing-Tung Yau, Fan Chung Graham, F. Graham, 2000, J. Graph Theory.

Coverings, Heat Kernels and Spanning Trees

Shing-Tung Yau, Fan Chung Graham, F. Graham, 1998, Electron. J. Comb..

Hyperbolic Harmonic Brain Surface Registration with Curvature-Based Landmark Matching

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2013, IPMI.

Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

Existence and Uniqueness of Solutions for Duncan-Mortensen-Zakai Equations

S. Yau, S. Yau, 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

Finite Dimensional Filters with Nonlinear Drift, XI: Explicit Solution of the Generalized Kolmogorov Equation in Brockett–Mitter Program☆☆☆

Stephen S.-T. Yau, Shing-Tung Yau, S. Yau, 1998 .

Existence and Uniqueness of Solutions

Stephen S.-T. Yau, Shing-Tung Yau, S. Yau, 2017 .

Existence and decay estimates for time dependent parabolic equation with application to Duncan–Mortensen–Zakai equation

Stephen S.-T. Yau, Shing-Tung Yau, S. Yau, 1998 .

An Estimate of the Gap of the First Two Eigenvalues in the Schr

Shing-Tung Yau, S. Yau, 2009, 0902.2250.

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

T. W. Wong, S. Yau, W. Zeng, 2011, Journal of Scientific Computing.

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Lok Ming Lui, Paul M. Thompson, Wei Zeng, 2010, J. Sci. Comput..

4d N=2 SCFT and singularity theory Part II: Complete intersection

S. Yau, S. Yau, Huaiqing Zuo, 2016, 1604.07843.

Perfect state transfer on graphs with a potential

Shing-Tung Yau, Mark Kempton, Gabor Lippner, 2016, Quantum Inf. Comput..

Ear modeling and sound signal processing

Zhouping Xin, Shing-Tung Yau, Ka-Sing Lau, 2008 .

On Upper Bounds in Dimension Gaps of CFT's

Tristan C. Collins, S. Yau, C. Vafa, 2022, 2201.03660.

Seiberg–Witten Differential via Primitive Forms

S. Yau, Si Li, Dan Xie, 2019, Communications in Mathematical Physics.

Seiberg–Witten Differential via Primitive Forms

S. Yau, Si Li, Dan Xie, 2018, Communications in Mathematical Physics.

Graphs associated with simplicial complexes

Shing-Tung Yau, Alexander Grigor'yan, S. Yau, 2014 .

Arithmetic properties of mirror map and quantum coupling

S. Yau, B. Lian, 1994, hep-th/9411234.

Shiing-Shen Chern: A Great Geometer of 20th Century

S. Yau, 2020, Notices of the International Congress of Chinese Mathematicians.

The Poincaré-Lelong equation on complete Kähler manifolds

S. Yau, Y. Siu, N. Mok, 1981 .

AE-OT-GAN: Training GANs from data specific latent distribution pdf

Shing-Tung Yau, Min Zhang, Na Lei, 2020, ECCV.

Real time solution of Duncan-Mortensen-Zakai equation without memory

Shing-Tung Yau, Stephen S.-T. Yau, S. Yau, 2008, 2008 47th IEEE Conference on Decision and Control.

Soft noncommutative schemes via toric geometry and morphisms from an Azumaya scheme with a fundamental module thereto -- (Dynamical, complex algebraic) D-branes on a soft noncommutative space

Shing-Tung Yau, Chien-Hao Liu, S. Yau, 2021, 2108.05328.

Further studies of the notion of differentiable maps from Azumaya/matrix supermanifolds I. The smooth case: Ramond-Neveu-Schwarz and Green-Schwarz meeting Grothendieck

S. Yau, Chien‐Hao Liu, 2017, 1709.08927.

More on the admissible condition on differentiable maps $\varphi: (X^{\!A\!z},E;\nabla)\rightarrow Y$ in the construction of the non-Abelian Dirac-Born-Infeld action $S_{DBI}(\varphi,\nabla)$

S. Yau, Chien‐Hao Liu, 2016, 1611.09439.

Further studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth case

S. Yau, Chien‐Hao Liu, 2015, 1508.02347.

On cohomology theory of (di)graphs

S. Yau, An Huang, 2014, 1409.6194.

A mathematical theory of D-string world-sheet instantons, II: Moduli stack of $Z$-(semi)stable morphisms from Azumaya nodal curves with a fundamental module to a projective Calabi-Yau 3-fold

S. Yau, Chien‐Hao Liu, 2013, 1310.5195.

Maximal degeneracy points of GKZ systems

S. Yau, B. Lian, S. Hosono, 1996 .

D 0 resolution of singularity D ( 9 . 1 ) : curve D 0-brane realizations of the resolution of a reduced singular curve

S. Yau, Chien‐Hao Liu, 2011 .

Geometry of algebraic points

S. Yau, Lo Yang, 2001 .

On some problems in several complex variables and CR geometry

S. Yau, Lo Yang, 2001 .

On complete constant scalar curvature K\"ahler metrics with Poincar\'e-Mok-Yau asymptotic property

S. Yau, Jixiang Fu, Wubin Zhou, 2016, 1603.09131.

Gauss-Manin connection in disguise: Genus two curves

S. Yau, H. Movasati, Jin Cao, 2019, 1910.07624.

Harmonic maps and rigidity theorems for spaces of nonpositive curvature

S. Yau, J. Jost, 1999 .

On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation

Shing-Tung Yau, S. Yau, Shiu-yuen Cheng, 1980 .

Shafarevich's Conjecture for CY Manifolds I

S. Yau, Kefeng Liu, K. Zuo, 2003, math/0308209.

Remarks on Gieseker’s degeneration and its normalization

S. Yau, Z. Xin, K. Lau, 2008 .

A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

S. Yau, Chin-Tien Wu, M. Yueh, 2018, Journal of Scientific Computing.

A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

Shing-Tung Yau, Mei-Heng Yueh, Wen-Wei Lin, 2017, Journal of Scientific Computing.

The Bergman kernel function of some Reinhardt domains

S. Yau, Lo Yang, 2001 .

Affine manifolds, SYZ geometry, and the 'Y' vertex

S. Yau, E. Zaslow, John C. Loftin, 2004, math/0405061.

Selected expository works of Shing-Tung Yau with commentary

S. Yau, R. Schoen, Kefeng Liu, 2014 .

Integral cohomology and mirror symmetry for Calabi-Yau 3-folds

James D. Lewis, S. Yau, N. Yui, 2006 .

Non-Kähler SYZ Mirror Symmetry

S. Yau, Siu-Cheong Lau, L. Tseng, 2015, Communications in Mathematical Physics.

A note on small deformations of balanced manifolds

S. Yau, Jixiang Fu, 2011, 1105.0026.

Constructing balanced metrics on some families of non-Kahler Calabi-Yau threefolds

S. Yau, Jun Li, Jixiang Fu, 2008 .

Asymptotic Chow polystability in Kähler geometry

S. Yau, L. Ji, Lo Yang, 2012 .

Calabi-Yau modular forms in limit: Elliptic Fibrations

S. Yau, Babak Haghighat, H. Movasati, 2015, 1511.01310.

Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds

S. Yau, Kefeng Liu, Xiaofeng Sun, 2009, 0912.5471.

Jacobian rings for homogenous vector bundles and applications

S. Yau, B. Lian, An Huang, 2018, 1801.08261.

Semicontinuity of 4d N=2$$ \mathcal{N}=2 $$ spectrum under renormalization group flow

S. Yau, Dan Xie, 2015, 1510.06036.

JHEP 4 d N = 2 SCFT and singularity theory Part I : Classification

S. Yau, Dan Xie, 2018 .

Positive scalar curvature and minimal hypersurface singularities

S. Yau, R. Schoen, 2017, Surveys in Differential Geometry.

Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

S. Yau, W. Meeks, L. Simon, 1982 .

Numerical study of interfacial problems with small surface tension

S. Yau, Lo Yang, 2001 .

Computing geodesic spectra of surfaces

Shing-Tung Yau, Xianfeng Gu, Miao Jin, 2007, Symposium on Solid and Physical Modeling.

COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE

S. Yau, R. Schoen, 1982 .

Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity.

S. Yau, R. Schoen, 1978, Proceedings of the National Academy of Sciences of the United States of America.

Hypersurfaces with constant scalar curvature

Shing-Tung Yau, S. Yau, Shiu-yuen Cheng, 1977 .

Harmonic functions on complete riemannian manifolds

S. Yau, 1975 .

Differential geometry : under the influence of S.-S. Chern

S. Yau, Zhongmin Shen, Y. Shen, 2012 .

Ae-OT: a New Generative Model based on Extended Semi-discrete Optimal transport

Shing-Tung Yau, Na Lei, Zhongxuan Luo, 2020, ICLR.

A lower bound for the heat kernel

Shing-Tung Yau, Jeff Cheeger, J. Cheeger, 1981 .

Write-a-video

Ariel Shamir, Shing-Tung Yau, Shi-Min Hu, 2019, ACM Trans. Graph..

Number theory, ancient and modern

S. Yau, Kefeng Liu, L. Ji, 2010 .

Fast and accurate spherical harmonics products

Shi-Min Hu, Shing-Tung Yau, Ling-Qi Yan, 2021, ACM Trans. Graph..

More on the admissible condition on differentiable maps φ : ( X Az , E ; ∇ ) → Y in the construction of the non-Abelian Dirac-Born-Infeld action S DBI ( φ , ∇ )

S. Yau, Chien‐Hao Liu, 2018 .

Real Time Solution of the Nonlinear Filtering Problem without Memory II

Shing-Tung Yau, Stephen S.-T. Yau, S. Yau, 2008, SIAM J. Control. Optim..

Real time solution of nonlinear filtering problem without memory I

Stephen S.-T. Yau, Shing-Tung Yau, S. Yau, 2000 .

A Geometric View of Optimal Transportation and Generative Model pdf

Shing-Tung Yau, Li Cui, Xianfeng Gu, 2017, Comput. Aided Geom. Des..

$(1,1)$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions

Tristan C. Collins, S. Yau, Adam Jacob, 2015, Cambridge Journal of Mathematics.

Decay of Solutions of the Wave Equation in the Kerr Geometry

S. Yau, J. Smoller, F. Finster, 2008 .

Long shock for supersonic flow past a curved cone

S. Yau, Shuxing Chen, 2002 .

Remarks on conformal transformations

Shing-Tung Yau, S. Yau, 1973 .

Gap of the First Two Eigenvalues of the Schr

S. Yau, 2009, 0902.2253.

Sharp Davies–Gaffney–Grigor’yan Lemma on graphs

S. Yau, F. Bauer, B. Hua, 2016, 1604.01911.

Ancient solutions to Kähler-Ricci flow

S. Yau, Z. Xin, K. Lau, 2008 .

A Note on the Total Curvature of a Kähler Manifold

S. Yau, Wan-Xiong Shi, 1996 .

Invariant metrics on negatively pinched complete Kähler manifolds

S. Yau, Damin Wu, 2017, Journal of the American Mathematical Society.

Errata to the Paper "Complete Kähler Manifolds with Nonpositive Curvature of Faster than Quadratic Decay"

Shing-Tung Yau, Yum-Tong Siu, S. Yau, 1979 .

Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs

Shing-Tung Yau, Yong Lin, Paul Horn, 2017 .

Picard number, holomorphic sectional curvature, and ampleness

S. Yau, P. Wong, Damin Wu, 2012 .

The Positive Mass Theorem with Arbitrary Ends

Shing-Tung Yau, Martin Lesourd, Ryan Unger, 2021, 2103.02744.

Complete Kähler–Einstein metrics under certain holomorphic covering and Examples

S. Yau, Damin Wu, 2018 .

On the Harnack inequalities of partial differential equations

S. Yau, 1994 .

Harnack inequality for non-self-adjoint evolution equations

S. Yau, 1995 .

Discrete Tori and Trigonometric Sums

S. Yau, A. Grigor’yan, yong-yi lin, 2022, The Journal of Geometric Analysis.

Discovering hierarchical structures in weighted graphs using Ricci-flow method

S. Yau, Linyuan Lu, Zhiyu Wang, 2020 .

Li-Yau inequality for unbounded Laplacian on graphs

S. Yau, Shuang Liu, Yong Lin, 2018, Advances in Mathematics.

Davies-Gaffney-Grigor'yan Lemma on Graphs

S. Yau, F. Bauer, B. Hua, 2014, 1402.3457.

Li-Yau inequality on graphs

Shing-Tung Yau, Yong Lin, Gabor Lippner, 2013, 1306.2561.

Positive mass theorem for initial data sets with corners along a hypersurface

S. Yau, Aghil Alaee, 2019, Communications in Analysis and Geometry.

Compact group actions and the topology of manifolds with non-positive curvature

S. Yau, R. Schoen, 1979 .

A deformed Hermitian Yang-Mills Flow

S. Yau, Dekai Zhang, Jixiang Fu, 2021, 2105.13576.

Geometry of three manifolds and existence of Black Hole due to boundary effect

S. Yau, 2002 .

THE TOPOLOGICAL UNIQUENESS OF COMPLETE MINIMAL-SURFACES OF FINITE TOPOLOGICAL TYPE

S. Yau, W. Meeks, 1992 .

The Total Mass and the Topology of an Asymptotically Flat Space-Time

S. Yau, 1980 .

A localized spacetime Penrose inequality and horizon detection with quasi-local mass.

S. Yau, Aghil Alaee, Martin Lesourd, 2019, 1912.01581.

On family rigidity theorems for Spin^{} manifolds

S. Yau, D. Phong, E. D’hoker, 2003 .

Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem.

S. Yau, R. Unger, Martin Lesourd, 2020, 2009.12618.

Geometry, topology, & physics for Raoul Bott

Shing-Tung Yau, S. Yau, 1995 .

Elliptic stable envelopes and hypertoric loop spaces

S. Yau, M. McBreen, A. Sheshmani, 2020, 2010.00670.

On a cohomology of digraphs and Hochschild cohomology

S. Yau, A. Grigor’yan, Y. Muranov, 2015, Journal of Homotopy and Related Structures.

Harmonic mappings and Kähler manifolds

S. Yau, J. Jost, 1983 .

Compact flat Riemannian manifolds

S. Yau, 1972 .

Structure of Three-Manifolds - Poincare and geometrization conjectures

S. Yau, 2006 .

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

S. Yau, J. Coates, 1995 .

Homotopically trivial symmetries of haken manifolds are toral

S. Yau, M. Freedman, 1983 .

High dynamic range scanning technique

Song Zhang, Shing-Tung Yau, S. Yau, 2008, Optical Engineering + Applications.

Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

Lok Ming Lui, Wei Zeng, Shing-Tung Yau, 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra

Lok Ming Lui, Wei Zeng, Defeng Wang, 2010, MICCAI.

Surface classification using conformal structures

Shing-Tung Yau, Xianfeng Gu, S. Yau, 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

A New Approach to Sparse Matrix Eigenvalues

Ya Yan Lu, Shing-Tung Yau, S. Yau, 1993, Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,.

Numerical conformal mapping of multiply connected domains to regions with circular boundaries

Wei Luo, Shing-Tung Yau, Xianfeng Gu, 2010, J. Comput. Appl. Math..

Generalized Cohomologies and Supersymmetry

S. Yau, L. Tseng, 2014, Communications in Mathematical Physics.

Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling

S. Yau, Kefeng Liu, K. Zuo, 2010, 1010.4141.

A survey on recent development in computational quasi-conformal geometry and its applications

S. Yau, L. Ji, Lo Yang, 2012 .

Recent development of computational conformal geometry

S. Yau, L. Ji, Lo Yang, 2012 .

Jordan structures in Banach manifolds

S. Yau, Lo Yang, 2001 .

Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion

S. Yau, J. Smoller, F. Finster, 2002, gr-qc/0211043.

Absence of stationary, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with angular momentum

S. Yau, F. Finster, J. Smoller, 2000 .

O ct 2 00 0 Absence of Static , Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang / Mills Equations with Angular Momentum of the Fermions

S. Yau, J. Smoller, F. Finster, 2000 .

S. Yau, J. Smoller, F. Finster, 2022 .

Explicit solution of a Kolmogorov equation

Stephen S.-T. Yau, S. Yau, S. Yau, 1996 .

Conformal Surface Morphing with Applications on Facial Expressions pdf

Shing-Tung Yau, Mei-Heng Yueh, Wen-Wei Lin, 2015, ArXiv.

Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector.

Song Zhang, Shing-Tung Yau, S. Yau, 2007, Applied optics.

Independent component analysis-based classification of Alzheimer's MRI data

Shing-Tung Yau, Wenlu Yang, Xudong Huang, 2013 .

Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs

S. Yau, Shuang Liu, Yong Lin, 2014, 1411.5087.

BMS Charges Without Supertranslation Ambiguity

S. Yau, Mu-Tao Wang, Po-Ning Chen, 2021, Communications in Mathematical Physics.

Evaluating quasi-local angular momentum and center-of-mass at null infinity

S. Yau, Ye-Kai Wang, Jordan Keller, 2018, Advances in Theoretical and Mathematical Physics.

Brain Surface Conformal Parameterization With the Ricci Flow

S. Yau, Yalin Wang, X. Gu, 2012 .

Torsion of digraphs and path complexes

S. Yau, A. Grigor’yan, Yong Lin, 2020, 2012.07302.

An efficient algorithm of Yau-Yau method for solving nonlinear filtering problems

Mei-Heng Yueh, Shing-Tung Yau, Willis Lin, 2014, Commun. Inf. Syst..

Green’s functions for Vladimirov derivatives and Tate’s thesis

S. Yau, Bogdan Stoica, An Huang, 2020, Communications in Number Theory and Physics.

On the Pseudonorm Project of Birational Classification of Algebraic Varieties

S. Yau, 2015 .

Superstring theory

S. Yau, Kefeng Liu, Chongyuan Zhu, 2018, New Scientist.

Global stability of spacetimes with supersymmetric compactifications

S. Yau, L. Andersson, P. Blue, 2020, Analysis & PDE.

Time-dependent Hermite-Galerkin spectral method and its applications

Shing-Tung Yau, Xue Luo, Stephen S.-T. Yau, 2014, Appl. Math. Comput..

Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration

Lok Ming Lui, Shing-Tung Yau, Xianfeng Gu, 2014, SIAM J. Imaging Sci..

Conformal parameterization for multiply connected domains: combining finite elements and complex analysis

S. Yau, X. Gu, E. Kropf, 2014, Engineering computations.

SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY

Shing-Tung Yau, S. Yau, 1982 .

HEAT-EQUATIONS ON MINIMAL SUBMANIFOLDS AND THEIR APPLICATIONS

Shing-Tung Yau, S. Yau, Shiu-yuen Cheng, 1984 .

Eigenvalues of elliptic operators and geometric applications

S. Yau, A. Grigor’yan, Y. Netrusov, 2004 .

A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds

Mei-Heng Yueh, Tiexiang Li, Wen-Wei Lin, 2020, SIAM J. Imaging Sci..

Positivity of quasi-local mass II

Chiu-Chu Melissa Liu, S. Yau, 2004, math/0412292.

3D Technology and Its Impact on the Future of Technology

S. Yau, 2015 .

On the behavior of solutions to the compressible Navier-Stokes equations

S. Yau, Lo Yang, 2001 .

3-manifolds and Vafa-Witten theory

S. Yau, A. Sheshmani, S. Gukov, 2022, 2207.05775.

K3 surfaces from configurations of six lines in ℙ2 and mirror symmetry II—λK3-functions

S. Yau, B. Lian, S. Hosono, 2019, International Mathematics Research Notices.

Period Integrals and Tautological Systems

S. Yau, B. Lian, Ruifang Song, 2011, 1105.2984.

Local mirror symmetry at higher genus

S. Yau, C. Vafa, 2001 .

Brain Surface Conformal Parameterization with Algebraic Functions

S. Yau, Yalin Wang, Paul M. Thompson, 2006, MICCAI.

Brain Surface Conformal Parameterization

S. Yau, K. Hayashi, Yalin Wang, 2005, Computer Graphics and Imaging.

Brain Surface Conformal Parameterization With the Ricci Flow

S. Yau, Yalin Wang, X. Gu, 2012, IEEE Transactions on Medical Imaging.

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Stanley Win Kler, S. Yau, Rui Shi, 2015 .

Differential Geometry: Partial Differential Equations on Manifolds

S. Yau, Robert Greene, 1993 .

A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations

S. Yau, Tie-xiang Li, Wen-Wei Lin, 2023, ArXiv.

Intrinsic measures of compact complex manifolds

S. Yau, 1975 .

A survey of geometric structure in geometric analysis

S. Yau, 2011 .

Negatively 1/4-pinched riemannian metric on a compact Kähler manifold

S. Yau, F. Zheng, 1991 .

Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow

Lok Ming Lui, Paul M. Thompson, Shing-Tung Yau, 2010, MICCAI.

Computing Conformal Invariants: Period Matrices

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2003, Commun. Inf. Syst..

On the Willmore Conjecture for Surfaces

S. Yau, 2013 .

Picard-Fuchs equations, special geometry, and target space duality

S. Yau, B. Greene, 1996 .

Counting Fourier-Mukai partners and applications

S. Yau, K. Oguiso, B. Lian, 2002 .

Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing

Lok Ming Lui, Xianfeng Gu, Tony F. Chan, 2008 .

On the Fundamental Group of Compact Manifolds of Non-Positive Curvature

S. Yau, 1971 .

Chapter IX Group Actions on R3

S. Yau, W. H. Meeks, 1984 .

Set addition and set multiplication

S. Yau, Z. Xin, K. Lau, 2008 .

Minimal Path and Acyclic Models

S. Yau, Xinxing Tang, 2022, 2208.14063.

A Geometric View of Optimal Transportation and Generative Model

S. Yau, Na Lei, Li Cui, 2017, Comput. Aided Geom. Des..

PhyloTransformer: A Self-supervised Discriminative Model for SARS-CoV-2 Viral Mutation Prediction Based on a Multi-head Self-attention Mechanism

S. Yau, Yingying Wu, Shusheng Xu, 2023, KDH@IJCAI.

3D brain tumor segmentation using a two-stage optimal mass transport algorithm

S. Yau, Wen-Wei Lin, Tie-xiang Li, 2021, Scientific Reports.

High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm

Song Zhang, Shing-Tung Yau, S. Yau, 2007 .

Trees and tensors on Kähler manifolds

S. Yau, Hao Xu, 2012, Annals of Global Analysis and Geometry.

n-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations

S. Yau, Tie-xiang Li, Wen-Wei Lin, 2024, ArXiv.

Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems

Mei-Heng Yueh, Tiexiang Li, Tsung-Ming Huang, 2021, Journal of Scientific Computing.

Mode Collapse and Regularity of Optimal Transportation Maps pdf

Yang Guo, Shing-Tung Yau, Xin Qi, 2019, ArXiv.

Optimal Transport for Generative Models

S. Yau, Na Lei, X. Gu, 2021, Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging.