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Shing-Tung Yau

Identifiers

  • name variant Shing-Tung Yau 0.60 · backfill

Papers (200)

  1. Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension hep-th · 2026 · author #3
  2. The discrete homotopy hypothesis for directed graphs math.AT · 2026 · author #4
  3. Yau's Affine-Normal Descent for Large-Scale Unrestricted Higher-Moment Portfolio Optimization q-fin.PM · 2026 · author #4
  4. Polylab: A MATLAB Toolbox for Multivariate Polynomial Modeling cs.MS · 2026 · author #2
  5. RC-positivity, comparison theorems and prescribed Hermitian-Yang-Mills tensors II math.DG · 2026 · author #4
  6. Yau's Affine Normal Descent: Algorithmic Framework and Convergence Analysis math.OC · 2026 · author #3
  7. Routine Blood Biomarkers Reveal a Preclinical Continuum of Multiple Myeloma Risk stat.AP · 2025 · author #5
  8. An Improved Yau-Yau Algorithm for High Dimensional Nonlinear Filtering Problems math.OC · 2025 · author #1
  9. C-R-T Fractionalization in the First Quantized Hamiltonian Theory cond-mat.str-el · 2024 · author #4
  10. K3 surfaces from configurations of six lines in $\mathbb{P}^{2}$ and mirror symmetry II --- $\lambda_{K3}$-functions --- math.AG · 2019 · author #3
  11. Singularity, Sasaki-Einstein manifold, Log del Pezzo surface and $\mathcal{N}=1$ AdS/CFT correspondence: Part I hep-th · 2019 · author #2
  12. 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 hep-th · 2019 · author #2
  13. Quasi-local mass on unit spheres at spatial infinity gr-qc · 2019 · author #4
  14. Quasi-local mass at null infinity in Bondi-Sachs coordinates gr-qc · 2019 · author #4
  15. Quasi-local mass at axially symmetric null infinity gr-qc · 2019 · author #4
  16. Moment maps, nonlinear PDE, and stability in mirror symmetry math.DG · 2018 · author #2
  17. K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I math.AG · 2018 · author #4
  18. Latent Space Optimal Transport for Generative Models cs.LG · 2018 · author #5
  19. $N=1$ 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 math.DG · 2018 · author #2
  20. D-type fiber-base duality hep-th · 2018 · author #4
  21. Geometric Understanding of Deep Learning cs.LG · 2018 · author #3
  22. The Minkowski formula and the quasi-local mass math.DG · 2018 · author #3
  23. Erratum for Ricci-flat graphs with girth at least five math.CO · 2018 · author #6
  24. Jacobian rings for homogenous vector bundles and applications math.AG · 2018 · author #3
  25. Li-Yau inequality for unbounded Laplacian on graphs math.DG · 2018 · author #4
  26. Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions cond-mat.str-el · 2018 · author #9
  27. Period integrals of local complete intersections and tautological systems math.AG · 2018 · author #3
  28. Hasse-Witt matrices, unit roots and period integrals math.AG · 2018 · author #3
  29. Mordell-Weil Torsion, Anomalies, and Phase Transitions hep-th · 2017 · author #3
  30. The deformed Hermitian-Yang-Mills equation in geometry and physics math.DG · 2017 · author #3
  31. 4d N=2 SCFT and singularity theory Part III: Rigid singularity hep-th · 2017 · author #4
  32. Invariant metrics on negatively pinched complete K\"ahler manifolds math.DG · 2017 · author #2
  33. Intermittent behaviors in weakly coupled map lattices math.DS · 2017 · author #4
  34. iSIRA: Integrated Shift-Invert Residual Arnoldi Method for Graph Laplacian Matrices from Big Data math.NA · 2017 · author #4
  35. A Geometric View of Optimal Transportation and Generative Model cs.LG · 2017 · author #4
  36. Relationships between cycle spaces, gain graphs, graph coverings, fundamental groups, path homology, and graph curvature math.CO · 2017 · author #3
  37. Further studies of the notion of differentiable maps from Azumaya/matrix supermanifolds I. The smooth case: Ramond-Neveu-Schwarz and Green-Schwarz meeting Grothendieck math.DG · 2017 · author #2
  38. A Realization of Thurstons Geometrization: Discrete Ricci Flow with Surgery math.DG · 2017 · author #3
  39. Differential zeros of period integrals and generalized hypergeometric functions math.AG · 2017 · author #4
  40. Wang and Yau's Quasi-Local Energy for an Extreme Kerr Spacetime gr-qc · 2017 · author #4
  41. Weil-Petersson geometry on the space of Bridgeland stability conditions math.AG · 2017 · author #3
  42. A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations cs.GR · 2017 · author #4
  43. Mirror of Atiyah flop in symplectic geometry and stability conditions math.SG · 2017 · author #4
  44. ADE String Chains and Mirror Symmetry hep-th · 2017 · author #3
  45. Positive Scalar Curvature and Minimal Hypersurface Singularities math.DG · 2017 · author #2
  46. Calabi-Yau Volumes and Reflexive Polytopes hep-th · 2017 · author #3
  47. Dynamics of D-branes II. The standard action --- an analogue of the Polyakov action for (fundamental, stacked) D-branes hep-th · 2017 · author #2
  48. Three dimensional canonical singularity and five dimensional N=1 SCFT hep-th · 2017 · author #2
  49. Pretty good state transfer in graphs with an involution math.CO · 2017 · author #3
  50. Argyres-Douglas matter and N=2 dualities hep-th · 2017 · author #2
  51. Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions cond-mat.str-el · 2016 · author #3
  52. 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 $S_{DBI}(\varphi,\nabla)$ hep-th · 2016 · author #2
  53. Perfect state transfer on graphs with a potential math.CO · 2016 · author #3
  54. On topological approach to local theory of surfaces in Calabi-Yau threefolds math.AG · 2016 · author #4
  55. A remark on our paper "Negative Holomorphic curvature and positive canonical bundle" math.DG · 2016 · author #2
  56. Quasi-local mass at the null infinity of the Vaidya spacetime math.DG · 2016 · author #3
  57. K stability and stability of chiral ring hep-th · 2016 · author #3
  58. 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 hep-th · 2016 · author #2
  59. 4d N=2 SCFT from Complete Intersection Singularity hep-th · 2016 · author #4
  60. Evolutionary dynamics on any population structure q-bio.PE · 2016 · author #7
  61. 4d N=2 SCFT and singularity theory Part II: Complete intersection hep-th · 2016 · author #3
  62. Quasi-local energy with respect to a static spacetime math.DG · 2016 · author #4
  63. Sharp Davies-Gaffney-Grigor'yan Lemma on Graphs math.DG · 2016 · author #3
  64. Nonexistence for complete K\"ahler Einstein metrics on some noncompact manifolds math.DG · 2016 · author #2
  65. On complete constant scalar curvature K\"ahler metrics with Poincar\'e-Mok-Yau asymptotic property math.DG · 2016 · author #2
  66. Quasi-local energy in presence of gravitational radiation math.DG · 2016 · author #3
  67. Quasi-local energy with respect to de Sitter/anti-de Sitter reference math.DG · 2016 · author #3
  68. New N = 2 dualities hep-th · 2016 · author #2
  69. Calabi-Yau modular forms in limit: Elliptic Fibrations math.AG · 2015 · author #3
  70. Elliptic Virasoro Conformal Blocks hep-th · 2015 · author #3
  71. Semicontinuity of 4d N=2 spectrum under renormalization group flow hep-th · 2015 · author #2
  72. 4d N=2 SCFT and singularity theory Part I: Classification hep-th · 2015 · author #2
  73. Evaluating small sphere limit of the Wang-Yau quasi-local energy math.DG · 2015 · author #3
  74. The rest mass of an asymptotically Anti-de Sitter spacetime math.DG · 2015 · author #4
  75. Gravitational wave memory in de Sitter spacetime gr-qc · 2015 · author #3
  76. Further studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth case math.DG · 2015 · author #2
  77. (1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions math.DG · 2015 · author #3
  78. Chain Integral Solutions to Tautological Systems math.AG · 2015 · author #3
  79. Negative Holomorphic curvature and positive canonical bundle math.DG · 2015 · author #2
  80. Gravitational Waves and Their Memory in General Relativity gr-qc · 2015 · author #3
  81. D-branes and synthetic/$C^{\infty}$-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds math.SG · 2015 · author #2
  82. Conformal Surface Morphing with Applications on Facial Expressions cs.GR · 2015 · author #5
  83. Adiabatic Isometric Mapping Algorithm for Embedding 2-Surfaces in Euclidean 3-Space gr-qc · 2015 · author #4
  84. Heterotic String Compactification and New Vector Bundles hep-th · 2014 · author #3
  85. 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 hep-th · 2014 · author #2
  86. Time-dependent Hermite-Galerkin spectral method and its applications math.NA · 2014 · author #2
  87. A special Lagrangian type equation for holomorphic line bundles math.DG · 2014 · author #2
  88. Volume doubling, Poincar\'e inequality and Guassian heat kernel estimate for nonnegative curvature graphs math.DG · 2014 · author #4
  89. Gauss-Manin connection in disguise: Calabi-Yau threefolds math.AG · 2014 · author #4
  90. A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations hep-th · 2014 · author #3
  91. On cohomology theory of (di)graphs math.CO · 2014 · author #2
  92. Graph invariants from ideas in physics and number theory math.CO · 2014 · author #2
  93. Non-Kaehler SYZ mirror symmetry math.DG · 2014 · author #3
  94. Conserved quantities on asymptotically hyperbolic initial data sets math.DG · 2014 · author #3
  95. Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients math-ph · 2014 · author #2
  96. Singularities and Gauge Theory Phases II hep-th · 2014 · author #3
  97. Homotopy theory for digraphs math.AT · 2014 · author #4
  98. 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 math.DG · 2014 · author #2
  99. Accelerating black holes, spin-3/2 fields and C-metric hep-th · 2014 · author #3
  100. Poisson metrics on flat vector bundles over non-compact curves math.DG · 2014 · author #3
  101. Extremal Bundles on Calabi-Yau Threefolds hep-th · 2014 · author #3
  102. Singularities and Gauge Theory Phases hep-th · 2014 · author #3
  103. Davies-Gaffney-Grigor'yan Lemma on Graphs math.DG · 2014 · author #3
  104. Cohomology and Hodge Theory on Symplectic Manifolds: III math.SG · 2014 · author #3
  105. On the validity of the definition of angular momentum in general relativity math.DG · 2014 · author #4
  106. The Unified Surface Ricci Flow math.GT · 2014 · author #5
  107. Curvatures of moduli space of curves and applications math.DG · 2013 · author #4
  108. Quasilocal angular momentum and center of mass in general relativity math.DG · 2013 · author #3
  109. An explicit formula of hitting times for random walks on graphs math.CO · 2013 · author #2
  110. Building Blocks for Generalized Heterotic/F-theory Duality hep-th · 2013 · author #3
  111. 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 math.AG · 2013 · author #2
  112. Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D math.DG · 2013 · author #7
  113. A Novel Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations math.NA · 2013 · author #4
  114. Nodal geometry of graphs on surfaces math.CO · 2013 · author #4
  115. Quantum tunneling from three-dimensional black holes hep-th · 2013 · author #5
  116. Li-Yau inequality on graphs math.AP · 2013 · author #6
  117. On exotic sphere fibrations, topological phases, and edge states in physical systems cond-mat.str-el · 2013 · author #2
  118. Minimizing properties of critical points of quasi-local energy math.DG · 2013 · author #3
  119. On the Holonomic Rank Problem math.AG · 2013 · author #5
  120. 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 math.AG · 2013 · author #2
  121. Simplicial Ricci Flow math.DG · 2013 · author #5
  122. On exterior calculus and curvature in piecewise-flat manifolds math.DG · 2012 · author #6
  123. Teichm\"uller extremal mapping and its applications to landmark matching registration cs.CG · 2012 · author #3
  124. Harnack inequalities for graphs with non-negative Ricci curvature math.CO · 2012 · author #3
  125. Homologies of path complexes and digraphs math.CO · 2012 · author #4
  126. A brief review on geometry and spectrum of graphs math.CO · 2012 · author #2
  127. The Geometry on Smooth Toroidal Compactifications of Siegel varieties math.AG · 2012 · author #1
  128. Hodge Bundles on Smooth Compactifications of Siegel Varieties and Applications math.AG · 2012 · author #1
  129. Generalized Cohomologies and Supersymmetry hep-th · 2011 · author #2
  130. D0-brane realizations of the resolution of a reduced singular curve math.AG · 2011 · author #2
  131. D5 elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory hep-th · 2011 · author #3
  132. The Electromagnetic Christodoulou Memory Effect and its Application to Neutron Star Binary Mergers astro-ph.CO · 2011 · author #3
  133. 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 $S^3$ math.DG · 2011 · author #2
  134. Small resolutions of SU(5)-models in F-theory hep-th · 2011 · author #2
  135. The Electromagnetic Christodoulou Memory Effect in Neutron Star Binary Mergers math.DG · 2011 · author #3
  136. Period Integrals of CY and General Type Complete Intersections math.AG · 2011 · author #2
  137. Period Integrals and Tautological Systems math.AG · 2011 · author #3
  138. A note on small deformations of balanced manifolds math.DG · 2011 · author #2
  139. Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande math.AG · 2011 · author #3
  140. Quantum tunneling on graphs quant-ph · 2011 · author #3
  141. 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 math.SG · 2010 · author #2
  142. Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation math.DG · 2010 · author #3
  143. Cohomology and Hodge Theory on Symplectic Manifolds: II math.SG · 2010 · author #2
  144. Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling math.AG · 2010 · author #3
  145. D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck math.SG · 2010 · author #2
  146. Evaluating quasilocal energy and solving optimal embedding equation at null infinity math.DG · 2010 · author #3
  147. Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds math.DG · 2009 · author #3
  148. Global Torelli Theorem for Teichmuller Spaces of Polarized Calabi-Yau manifolds math.AG · 2009 · author #4
  149. Picard-Fuchs Equations for Relative Periods and Abel-Jacobi Map for Calabi-Yau Hypersurfaces math.AG · 2009 · author #3
  150. Cohomology and Hodge Theory on Symplectic Manifolds: I math.SG · 2009 · author #2
  151. Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a $B$-field background \`a la Polchinski-Grothendieck Ansatz math.AG · 2009 · author #2
  152. Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck math.AG · 2009 · author #2
  153. Limit of quasilocal mass at spatial infinity math.DG · 2009 · author #2
  154. Gap of the First Two Eigenvalues of the Schr\"odinger Operator with Nonconvex Potential math.DG · 2009 · author #1
  155. An Estimate of the Gap of the First Two Eigenvalues in the Schr\"odinger Operator math.DG · 2009 · author #1
  156. Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore vs. Polchinski-Grothendieck math.AG · 2009 · author #2
  157. A new geometric approach to problems in birational geometry math.AG · 2008 · author #2
  158. Balanced metrics on non-Kahler Calabi-Yau threefolds math.DG · 2008 · author #3
  159. Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological D-strings as a master object for curves math.AG · 2008 · author #4
  160. New Heterotic Non-Kahler Geometries hep-th · 2008 · author #3
  161. Local Heterotic Torsional Models hep-th · 2008 · author #3
  162. Isometric embeddings into the Minkowski space and new quasi-local mass math.DG · 2008 · author #2
  163. Quasilocal mass in general relativity gr-qc · 2008 · author #2
  164. Local geometry of the G2 moduli space hep-th · 2008 · author #2
  165. Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics math-ph · 2008 · author #4
  166. Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint math.AG · 2007 · author #2
  167. Heterotic Kahler/non-Kahler Transitions hep-th · 2007 · author #3
  168. Taming symplectic forms and the Calabi-Yau equation math.DG · 2007 · author #3
  169. A Rigorous Treatment of Energy Extraction from a Rotating Black Hole gr-qc · 2007 · author #4
  170. Moduli Space of Torsional Manifolds hep-th · 2006 · author #3
  171. Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut math.SG · 2006 · author #2
  172. Structures of Three-Manifilds math.DG · 2006 · author #1
  173. Obstructions to the Existence of Sasaki-Einstein Metrics hep-th · 2006 · author #4
  174. Yukawa Couplings on Quintic Threefolds hep-th · 2006 · author #3
  175. Branes, Bundles and Attractors: Bogomolov and Beyond math.AG · 2006 · author #3
  176. Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory hep-th · 2006 · author #5
  177. The theory of superstring with flux on non-Kahler manifolds and the complex Monge-Ampere equation hep-th · 2006 · author #2
  178. Sasaki-Einstein Manifolds and Volume Minimisation hep-th · 2006 · author #3
  179. Perspectives on geometric analysis math.DG · 2006 · author #1
  180. A generalization of Liu-Yau's quasi-local mass math.DG · 2006 · author #2
  181. Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds hep-th · 2005 · author #2
  182. Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint math.AG · 2005 · author #2
  183. Decay of Solutions of the Wave Equation in the Kerr Geometry gr-qc · 2005 · author #4
  184. The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds hep-th · 2005 · author #3
  185. Positivity of quasi-local mass II math.DG · 2004 · author #2
  186. The Existence of Supersymmetric String Theory with Torsion hep-th · 2004 · author #2
  187. Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs math.AG · 2004 · author #2
  188. Canonical Metrics on the Moduli Space of Riemann Surfaces II math.DG · 2004 · author #3
  189. A degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups math.AG · 2004 · author #2
  190. Affine Manifolds, SYZ Geometry, and the "Y" Vertex math.DG · 2004 · author #2
  191. Canonical Metrics on the Moduli Space of Riemann Surfaces I math.DG · 2004 · author #3
  192. $S^1$-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram math.AG · 2004 · author #3
  193. An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry gr-qc · 2003 · author #4
  194. Shafarevich's Conjecture for CY Manifolds I math.AG · 2003 · author #3
  195. Positivity of Quasilocal Mass gr-qc · 2003 · author #2
  196. Counting Unimodular Lattices in $\R^{r,s}$ math.QA · 2003 · author #4
  197. Computing Conformal Structure of Surfaces cs.GR · 2002 · author #2
  198. c=2 Rational Toroidal Conformal Field Theories via the Gauss Product hep-th · 2002 · author #4
  199. Fourier-Mukai partners of a K3 surface of Picard number one math.AG · 2002 · author #4
  200. Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion gr-qc · 2002 · author #3

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Frequent Coauthors