[1] Symplectic Flatness and Twisted Primitive Cohomology

[2] The singularity attack to the multivariate signature scheme HIMQ-3

[3] Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices

[4] Ultracontractivity and Functional Inequalities on Infinite Graphs

[5] Harnack and mean value inequalities on graphs

[6] Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians

[7] A Gradient Estimate for Positive Functions on Graphs

[8] Global gradient estimate on graph and its applications

[9] Collapsing of the Chern-Ricci flow on elliptic surfaces

[10] Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds

[11] The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits

[12] Scalar curvature on compact complex manifolds

[13] On projective varieties with strictly nef tangent bundles

[14] Scalar curvature, Kodaira dimension and \hat{A}-genus

[15] RC-positive metrics on rationally connected manifolds

[16] RC-positivity, vanishing theorems and rigidity of holomorphic maps

[17] On Euler characteristic and fundamental groups of compact manifolds

[18] Enlargeable length-structure and scalar curvatures

[19] Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature

[20] The infinitesimal and global Thurston geometry of Teichmüller space

[21] A McShane-type Identity for Closed Surfaces

[22] McShane identities for quasifuchsian representations of nonorientable surfaces

[23] Weil-Petersson metric on deformation spaces

[24] On the structure of gradient Yamabe solitons

[25] Regularity of harmonic maps from polyhedra to CAT(1) spaces

[26] Existence of harmonic maps into CAT(1) spaces

[27] A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces

[28] Residue formula for an obstruction to coupled Kähler–Einstein metrics

[29] Coupled Sasaki-Ricci solitons

[30] On deformations of Fano manifolds

[31] Variations on the theme of quantum Lefschetz

[32] Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature

[33] The set of vertices with positive curvature in a planar graph with nonnegative curvature

[34] Infinitely many Lagrangian fillings

[35] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

[36] Flows on the PGL(V)-Hitchin component

[37] Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

[38] The J-equation and the supercritical deformed Hermitian–Yang–Mills equation

[39] Special Lagrangian submanifolds of log Calabi–Yau manifolds

[40] Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry

[41] Metric Lie groups admitting dilations

[42] On characteristic numbers of 24 dimensional string manifolds

[43] Cubic forms, anomaly cancellation and modularity

[44] Stringc structures and modular invariants

[45] Immersed two-spheres and SYZ with applications to Grassmannians

[46] Uniqueness of stable capillary hypersurfaces in a ball

[47] Fu-Yau Hessian equation

[48] A polyhedron comparison theorem for 3-manifolds with positive scalar curvature

[49] Evolution of angular momentum and center of mass at null infinity

[50] The weyl problem in warped product spaces

[51] Singular Cotangent Bundle Reduction and Polar Actions

[52] Morse-Novikov cohomology of almost nonnegatively curved manifolds

[53] New affine inequalities and projectionmean ellipsoids

[54] The lp minkowski problem for the electrostatic p-capacity

[55] Harmonic maps for Hitchin representations

[56] Local Curvature Estimates of Long-Time Solutions to the Kahler-Ricci Flow

[57] Refined scattering diagrams and theta functions from asymptotic analysis of Maurer--Cartan equations

[58] Geometric quantization and quantum moment maps on coadjoint orbits and K\"ahler-Einstein manifolds

[59] Quantization of Kähler manifolds

[60] Bargmann-Fock sheaves on Kähler manifolds

[61] Intersection of almost complex submanifolds

[62] Adiabatic limits of anti-self-dual connections on collapsed k3 surfaces

[63] Kahler-einstein metrics on fano manifolds. ii: limits with cone angle less than 2π

[64] Hopf-Cole transformation via generalized Schrodinger bridge problem

[65] Transport information geometry I: Riemannian calculus on probability simplex

[66] Hessian metric via transport information geometry

[67] Ricci curvature for parametric statistics via optimal transport

[68] Free boundary minimal surfaces in the unit ball : recent advances and open questions

[69] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

[70] A maximum principle for free boundary minimal varieties of arbitrary codimension

[71] Curvature estimates for stable free boundary minimal hypersurfaces

[72] A general existence theorem of embedded minimal surfaces with free boundary

[73] Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

[74] On the curvature estimates for Hessian equations

[75] A proof of Alexandrov's uniqueness theorem for convex surfaces in R3

[76] An interior estimate for convex solutions and a rigidity theorem

[77] A remark on the hard Lefschetz theorem for Khler orbifolds

[78] Form-type equations on Khler manifolds of nonnegative orthogonal bisectional curvature

[79] Semilinear equations, the function, and generalized Gauduchon metrics

[80] Comparing corresponding dihedral angles on classical geometric simplices

[81] The Mbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere

[82] Rigidity of polyhedral surfaces, II

[83] Discrete heat kernel determines discrete Riemannian metric

[84] Rigidity of polyhedral surfaces, III

[85] On the Fundamental Group of Manifolds of Non-positive Curvature

[86] Chapter IX Group Actions on R3

[87] General framework for discrete surface ricci flow

[88] The Minkowski Formula and the Quasi-Local Mass

[89] Correction to" A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry"

[90] Tetrahedral Mesh Construction for Unit Tangent Bundle over Genus-Zero Surfaces

[91] A Realization of Thurstons Geometrization: Discrete Ricci Flow with Surgery

[92] Correction to" A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

[93] Canonical metrics on the moduli space of Riemann surface

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

[95] Li-Yau inequality for unbounded Laplacian on graphs

[96] A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.

[97] A remark on the existence of sphere with prescribed mean curvature

[98] Differential equations from mirror symmetry

[99] On exterior calculus and curvature in piecewise-flat manifolds

[100] The Harnack estimate for the Ricci flow on a surfacerevisited

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

[102] The structure of manifolds with positive scalar curvature

[103] The topological uniqueness of complete minimal surfaces of finite topological type

[104] A note on small deformations of balanced manifolds

[105] Isoperimetric properties of higher eigenvalues of elliptic operators

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

[107] Surface parameterization using Riemann surface structure

[108] The unified discrete surface Ricci flow

[109] Harnack inequality for non-self-adjoint evolution equations

[110] Remarks on the group of isometries of a Riemannian manifold

[111] The role of partial differential equations in differential geometry

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

[113] On the isoperimetric inequality for minimal surfaces

[114] Manifold splines with a single extraordinary point

[115] Positive scalar curvature and minimal hypersurface singularities

[116] Geometry of three manifolds and existence of black hole due to boundary effect

[117] Brain surface conformal parameterization with the Ricci flow

[118] Balanced metrics on non-Khler Calabi-Yau threefolds

[119] Eigenvalues of elliptic operators and geometric applications

[120] Upper bound for the first eigenvalue of algebraic submanifolds

[121] Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres

[122] Heat equations on minimal submanifolds and their applications

[123] Optimal global conformal surface parameterization

[124] Special Lagrangians, stable bundles and mean curvature flow

[125] Ricci curvature and eigenvalue estimate on locally finite graphs

[126] Compact manifolds of nonpositive curvature

[127] The existence of embedded minimal surfaces and the problem of uniqueness

[128] On the upper estimate of the heat kernel of a complete Riemannian manifold

[129] On univalent harmonic maps between surfaces

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

[131] Estimates of eigenvalues of a compact Riemannian manifold

[132] Hypersurfaces with constant scalar curvature

[133] Conformally flat manifolds, Kleinian groups and scalar curvature

[134] On the structure of manifolds with positive scalar curvature

[135] A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

[136] Riemannian geometry and geometric analysis

[137] The rigidity theorems of self shrinkers via Gauss maps

[138] Subsequent singularities of mean convex mean curvature flows in smooth manifolds

[139] Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

[140] Minimal graphic functions on manifolds of non-negative Ricci curvature

[141] Note on geodesic rays and simple test configurations

[142] Projective embedding of log Riemann surfaces and K-stability

[143] Note on K-stability of pairs

[144] The generalized Frankel conjecture in Sasaki geometry

[145] Frankel conjecture and Sasaki geometry

[146] On the KhlerRicci flow near a KhlerEinstein metric

[147] Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Khler metrics

[148] Compact moduli spaces of Del Pezzo surfaces and KhlerEinstein metrics

[149] Conical KhlerEinstein metrics revisited

[150] Kahler-Einstein metrics and stability

[151] Gromov-Hausdorff limits of Khler manifolds and algebraic geometry

[152] Khler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

[153] Khler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof

[154] Remarks on the Chern classes of Calabi-Yau moduli

[155] A Donaldson type functional on a holomorphic Finsler vector bundle

[156] Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds

[157] Quantum correction and the moduli spaces of Calabi-Yau manifolds

[158] Modular invariance and anomaly cancellation formulas in odd dimension

[159] Levi-Civita Ricci-flat metrics on compact complex manifolds

[160] On family rigidity theorems II

[161] Goodness of canonical metrics on the moduli space of Riemann surfaces

[162] Adiabatic limits, vanishing theorems and the noncommutative residue

[163] A geometric heat flow for vector fields

[164] Compact K\" ahler manifolds with positive orthogonal bisectional curvature

[165] New results on the geometry of the moduli space of Riemann surfaces

[166] A note on modular forms and generalized anomaly cancellation formulas

[167] Remarks on the geometry of moduli spaces

[168] Generalized Ricci flow I: Local existence and uniqueness

[169] Rigidity theorems on odd dimensional manifolds

[170] Geodesic-Einstein metrics and nonlinear stabilities

[171] On elliptic genera and foliations

[172] Modular forms and generalized anomaly cancellation formulas

[173] A remark on weighted Bergman kernels on orbifolds

[174] Chern forms of holomorphic Finsler vector bundles and some applications

[175] Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data

[176] Adiabatic limits and foliations

[177] Mean curvature flow of higher codimension in hyperbolic spaces

[178] On orbifold elliptic genus

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

[180] A remark on'Some numerical results in complex differential geometry'

[181] Quasi-isometry and deformations of CalabiYau manifolds

[182] Hyperbolic geometric flow (I): short-time existence and nonlinear stability

[183] Positivity and vanishing theorems for ample vector bundles

[184] Wave character of metrics and hyperbolic geometric flow

[185] A formula of two-partition Hodge integrals

[186] On elliptic genera and theta-functions

[187] Canonical metrics on the moduli space of Riemann surfaces II

[188] Canonical metrics on the moduli space of Riemann surfaces. I

[189] On the asymptotic expansion of Bergman kernel

[190] Weakly trapped submanifolds in standard static spacetimes

[191] Inversion d’opérateurs de courbures au voisinage d’une métrique Ricci parallèle II: variétés non compactes à géométrie bornée

[192] Fat sub-Riemannian symmetric spaces: the nilpotent case

[193] Bounds on the topology and index of minimal surfaces

[194] Helicoidal minimal surfaces of prescribed genus

[195] Convergence and divergence of formal CR mappings

[196] Gauduchon metrics with prescribed volume form

[197] Singular Ricci flows I

[198] Correction to “On the density of geometrically finite Kleinian groups”

[199] Asymptotic behavior of flows by powers of the Gaussian curvature

[200] The Lp-Alekesandrov problem for Lp-integral curvature

[201] Instability of spherical naked singularities of a scalar field under gravitational perturbations

[202] On the local extension of the future null infinity

[203] A discrete uniformization theorem for polyhedral surfaces

[204] A new complete Calabi-Yau metric on C^3

[205] U(1)-decomposable self-dual manifolds

[206] Lie bialgebroids of generalized CRF-manifolds

[207] Generalised connected sums of quaternionic manifolds

[208] Corrigendum: compact Einstein-Weyl manifolds with large symmetry group

[209] A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds

[210] Torus symmetry of compact self-dual manifolds

[211] Application of Elementary Differential Geometry to Influence Analysis

[212] Potential functions of HKT spaces

[213] A note on rigidity of 3-Sasakian manifolds

[214] Influential observations in the estimation of mean vector and covariance matrix

[215] The Hitchin-Thorpe inequality for Einstein-Weyl manifolds

[216] Einstein-Weyl deformations and submanifolds

[217] Deformation of 2-step nilmanifolds with abelian complex structures

[218] Compact Einstein-Weyl manifolds with large symmetry group

[219] Conformal normal curvature and assessment of local influence

[220] Chord shortening flow and a theorem of Lusternik and Schnirelmann

[221] On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature

[222] Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

[223] A sharp comparison theorem for compact manifolds with mean convex boundary

[224] Min-max theory for free boundary minimal hypersurfaces I-regularity theory

[225] Equidistribution of minimal hypersurfaces for generic metrics

[226] Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms

[227] Dirac spectral flow on contact three manifolds I: eigensection estimates and spectral asymmetry

[228] Translation lengths of parabolic isometries of CAT(0) spaces and their applications

[229] The Weil-Petersson curvature operator on the universal Teichmüller space

[230] Self-similar solutions of curvature flows in warped products

[231] An Energy functional for Lagrangian tori in $\mathbb{C}P^2$

[232] Characterizations of umbilic hypersurfaces in warped product manifolds

[233] Generalized Ricci flow II existence for complete noncompact manifolds

[234] New Pinching Estimates for Inverse Curvature Flows in Space Forms

[235] Volume preserving flow by powers of k-th mean curvature

[236] On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

[237] Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness

[238] Stability of torsion-free G2 structures along the Laplacian flow

[239] Partial regularity of harmonic maps from Alexandrov spaces

[240] Harmonic Maps Between Alexandrov Spaces

[241] Rigidity of manifolds with Bakry–Emery Ricci curvature bounded below

[242] Quantitative gradient estimates for harmonic maps into singular spaces

[243] Super McShane Identity

[244] Rigidity theorems for submetries in positive curvature

[245] Variation and rigidity of quasi-local mass

[246] Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature

[247] Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

[248] On Weyl's embedding problem in Riemannian manifolds

[249] Sharp nonexistence results for curvature equations with four singular sources on rectangular tori

[250] A constructions of infinitely many solutions to the Strominger system

[251] Fukaya's conjecture on $S^1$-equivariant de Rham complex

[252] The rigidity theorems for Lagrangian self shrinkers

[253] The rigidity theorems of self shrinkers

[254] On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus

[255] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

[256] Sharp Davies-Gaffney-Grigor’yan lemma on graphs

[257] Starshaped compact hypersurfaces with prescribed Weingarden curvature in warped product manifolds

[258] Quermassintegral preserving curvature flow in hyperbolic space

[259] The Fu–Yau equation with negative slope parameter

[260] L2-estimates on p-convex Riemannian manifolds

[261] Atiyah and Todd classes arising from integrable distributions

[262] Fukaya's conjecture on Witten's twisted A_\infty structures

[263] Calabi-Yau manifolds with isolated conical singularities

[264] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

[265] A strong stability condition on minimal submanifolds and its implications

[266] A volume preserving flow and the isoperimetric problem in warped product spaces

[267] Kahler-Ricci flow with unbounded curvature

[268] 3-manifolds with nonnegative Ricci curvature

[269] Li-Yau inequality on graphs

[270] Poisson 2 groups