Journal of Differential Geometry

Article	Citations
The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics	22
Relative Clifford inequality for varieties fibered by curves	16
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	16
Index theory and deformations of open nonnegatively curved manifolds	15
Index to Volume 119	13
Dual curvature measures for $\log$-concave functions	12
Min-max minimal surfaces, horizons and electrostatic systems	12
Higher Lelong numbers versus full Monge–Ampère mass	10
Existence of multiple closed CMC hypersurfaces with small mean curvature	8
The renormalized volume of a $4$-dimensional Ricci-flat ALE space	7
On type-preserving representations of thrice punctured projective plane group	7
Symmetries of exotic negatively curved manifolds	6
Homogenization of random quasiconformal mappings and random Delauney triangulations	6
Bounded multiplicity for eigenvalues of a circular vibrating clamped plate	6
Riemann moduli spaces are quantum ergodic	6
Constant mean curvature spheres in homogeneous three-spheres	6
Cohomology of contact loci	5
Vertex algebras and quantum master equation	4
Spectral determination of semi-regular polygons	4
On the Index of Willmore spheres	4
Smoothings and rational double point adjacencies for cusp singularities	4
A proof of Gromov's cube inequality on scalar curvature	4
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	4
The Carter tensor and the physical-space analysis in perturbations of Kerr–Newman spacetime	4
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	4

Mean curvature flows of two-convex Lagrangians	4
A family of 3d steady gradient solitons that are flying wings	3
Existence and limiting behavior of min-max solutions of the Ginzburg–Landau equations on compact manifolds	3
On number and evenness of solutions of the $SU(3)$ Toda system on flat tori with non-critical parameters	3
Refined disk potentials for immersed Lagrangian surfaces	3
Conical Calabi–Yau metrics on toric affine varieties and convex cones	3
Index one minimal surfaces in positively curved 3-manifolds	3
An isoperimetric inequality for Laplace eigenvalues on the sphere	3
Instantons on multi-taub-nut spaces ii: bow construction	3
Rigidity of wonderful group compactifications under Fano deformations	3
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets	3
Smooth valuations on convex functions	3
The dihedral rigidity conjecture for $n$-prisms	2
Asymptotics of quantum $6j$ symbols	2
Smooth Fock bundles, and spinor bundles on loop space	2
A localized spacetime Penrose inequality and horizon detection with quasi-local mass	2
Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	2
The McKay correspondence for isolated singularities via Floer theory	2
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	2
Calabi–Yau metrics with conical singularities along line arrangements	2
Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori	2
On connectedness of non-klt loci of singularities of pairs	2
Correction to “Moduli spaces of nonnegative sectional curvature and non-unique souls”, J. Diff. Geom. 89 (2011), no. 1, 49–85.	2
Multiplicities of irreducible theta divisors	2
On O’Hara knot energies I: Regularity for critical knots	2
$SU(2)$-cyclic surgeries and the pillowcase	2
Gluing localized mirror functors	2
Gopakumar–Vafa invariants and wall-crossing	2
Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume	2
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
Adiabatic limits of anti-self-dual connections on collapsed $K3$ surfaces	2
Affine fractional Sobolev and isoperimetric inequalities	2
The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian	2
The geometry of domains with negatively pinched Kähler metrics	2
On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$	1
Diameter bounds for degenerating Calabi–Yau metrics	1
Supersymmetric localization, modularity and the Witten genus	1
Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations	1
Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, II	1
Limit of Weierstrass measure on stable curves	1
The stable cohomology of moduli spaces of sheaves on surfaces	1
Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics	1
Creating Stein surfaces by topological isotopy	1
Rigidity of the round cylinders in Ricci shrinkers	1
Volume above distance below	1
Super McShane identity	1
Global Nash–Kuiper theorem for compact manifolds	1
Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties	1
Scalar curvature and harmonic maps to $S^1$	1

An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds	1
Instantons on multi-Taub-NUT spaces I: Asymptotic form and index theorem	1
Cusp excursions of random geodesics in Weil–Petersson type metrics	1
Gauss–Manin connection in disguise: Dwork family	1
Harmonic maps from $S^3$ into $S^2$ with low Morse index	1
Critical values of homology classes of loops and positive curvature	1
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	1
Smoothly bounded domains covering finite volume manifolds	1
On minimal varieties growing from quasismooth weighted hypersurfaces	1
On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr–Newman family	1
Jumps in the height of the Ceresa cycle	1
The Nielsen realization problem for K3 surfaces	1
Constrained deformations of positive scalar curvature metrics	1
The structure of stable codimension one integral varifolds near classical cones of density 5/2	1
A sharp centro-affine isospectral inequality of Szegö–Weinberger type and the $L^p$-Minkowski problem	1
Wandering singularities	1
On Beloshapka’s rigidity conjecture for real submanifolds in complex space	1
Band width estimates via the Dirac operator	1
Infinitesimal Zariski closures of positive representations	1
CR eigenvalue estimate and Kohn–Rossi cohomology	1
Morse inequalities for the area functional	1
Fukaya’s conjecture on Witten’s twisted $A_\infty$ structure	0
Cabling Legendrian and transverse knots	0
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball	0
Large area-constrained Willmore surfaces in asymptotically Schwarzschild $3$-manifolds	0
Generalized Donaldson–Thomas invariants via Kirwan blowups	0
Morita equivalence and the generalized Kähler potential	0
On the essential spectrum of differential operators over geometrically finite orbifolds	0
Semistability, modular lattices, and iterated logarithms	0
Isoperimetry and volume preserving stability in real projective spaces	0
Weakly symmetric pseudo–Riemannian nilmanifolds	0
The non-Abelian X-ray transform on surfaces	0
Geodesic nets with three boundary vertices	0
Complete complex hypersurfaces in the ball come in foliations	0
SRB measures for Anosov actions	0
The stable converse soul question for positively curved homogeneous spaces	0
A quantum Leray–Hirsch theorem for banded gerbes	0
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	0
Boundedness of elliptic Calabi–Yau varieties with a rational section	0
Length of a shortest closed geodesic in manifolds of dimension four	0
Instability of spherical naked singularities of a scalar field under gravitational perturbations	0
On infinite staircases in toric symplectic four-manifolds	0
On the transcendence of period images	0
Rigidity results for complete manifolds with nonnegative scalar curvature	0
Symplectic rational $G$-surfaces and equivariant symplectic cones	0
A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons	0
On non-diffractive cones	0
The singular set of minimal surfaces near polyhedral cones	0
Algebraic torus actions on contact manifolds	0
Constructing monotone homotopies and sweepouts	0
Stringy Kähler moduli, mutation and monodromy	0
Dirac geometry and integration of Poisson homogeneous spaces	0
On the topology and index of minimal surfaces II	0
Immersed two-spheres and SYZ with application to Grassmannians	0
Blowups and blowdowns of geodesics in Carnot groups	0
Visible actions of compact Lie groups on complex spherical varieties	0
Curvature bounds of subsets in dimension two	0
Extended Goldman symplectic structure in Fock–Goncharov coordinates	0
The index formula for families of Dirac type operators on pseudomanifolds	0
On the Frøyshov invariant and monopole Lefschetz number	0
The positive mass theorem with arbitrary ends	0
Bitangents to a quartic surface and infinitesimal Torelli	0
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	0
On the min-max width of unit volume three-spheres	0
The convergence of discrete uniformizations for closed surfaces	0
Projective Anosov representations, convex cocompact actions, and rigidity	0
Symplectic boundary conditions and cohomology	0
A new flow solving the LYZ equation in Kähler geometry	0
Growth of quantum $6j$-symbols and applications to the volume conjecture	0
Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces	0
Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz	0
Ricci limit spaces are semi-locally simply connected	0
RC-positivity and the generalized energy density I: Rigidity	0
Contractible flow of stability conditions via global dimension function	0
Higgs bundles and SYZ geometry	0
Generic injectivity of the X-ray transform	0
Gravitational instantons and special geometry	0
Characterizing symplectic Grassmannians by varieties of minimal rational tangents	0
Intersection de Rham complexes in positive characteristic	0
Green's functions and complex Monge–Ampère equations	0

Existence of infinitely many free boundary minimal hypersurfaces	0
Complex hyperbolic Kleinian groups of large critical exponents	0
Local control on the geometry in 3D Ricci flow	0
A note on Selberg’s lemma and negatively curved Hadamard manifolds	0
Min-max theory for free boundary minimal hypersurfaces, I: Regularity theory	0
The loop equation for special cubic Hodge integrals	0
Poles of cubic differentials and ends of convex $\mathbb{RP}^2$-surfaces	0
On the embedding complexity of Liouville manifolds	0
The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary	0
The Minkowski problem in the sphere	0
Min-max minimal hypersurfaces with higher multiplicity	0
The affine shape of a figure 8 under the curve shortening flow	0
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	0
Symmetric differentials on complex hyperbolic manifolds with cusps	0
On the geometric structure of currents tangent to smooth distributions	0
Conformal geodesics cannot spiral	0
Transverse measures and best Lipschitz and least gradient maps	0
Harmonic map flow for almost-holomorphic maps	0
Scherk-like translators for mean curvature flow	0
Area estimates for high genus Lawson surfaces via DPW	0
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	0
Mirror symmetry for double cover Calabi–Yau varieties	0
The dilogarithm and abelian Chern–Simons	0
A Funk perspective on billiards, projective geometry and Mahler volume	0
Sharp existence, symmetry and asymptotics results for the singular $SU(3)$ Toda system with critical parameters	0
Conical $3$-uniform measures: A family of new examples and characterizations	0
On a conjecture of Meeks, Pérez and Ros	0
Contractible 3-manifold and Positive scalar curvature (I)	0
Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space	0
Weinstock inequality in higher dimensions	0
Foliations of asymptotically flat manifolds by stable constant mean curvature spheres	0
An area bound for surfaces in Riemannian manifolds	0
Closed geodesics on connected sums and $3$-manifolds	0
Improvements for eigenfunction averages: An application of geodesic beams	0
Cone theorem and Mori hyperbolicity	0
Harmonic quasi-isometric maps into Gromov hyperbolic $\operatorname{CAT}(0)$-spaces	0
Collapsing ancient solutions of mean curvature flow	0
Hyperbolic groups containing subgroups of type $\mathscr{F}_3$ not $\mathscr{F}_4$	0
Critical metrics for log-determinant functionals in conformal geometry	0
The moduli space of two-convex embedded spheres	0
Local version of Courant’s nodal domain theorem	0
Nonclassical minimizing surfaces with smooth boundary	0
Minimal planes in asymptotically flat three-manifolds	0
Holomorphic foliation associated with a semi-positive class of numerical dimension one	0
Gauge theory for string algebroids	0
Smooth solutions to the complex plateau problem	0
Perverse sheaves on varieties with large fundamental groups	0
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	0
Topological aspects of $\mathbb{Z} / 2 \mathbb{Z}$ eigenfunctions for the Laplacian on $S^2$	0
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	0
Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces	0
Augmentations, annuli, and Alexander polynomials	0
Surgery and excision for Furuta-Ohta invariants on homology ${S}^1 \times {S}^3$	0
Tropical enumeration of curves in blowups of $\mathbb{C} P^2$	0
Generalized square knots and homotopy $4$-spheres	0
A scattering theory construction of dynamical vacuum black holes	0
Fu–Yau Hessian equations	0