OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Differential Geometry is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

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
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
Symmetries of exotic negatively curved manifolds	6
Cohomology of contact loci	5
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
Vertex algebras and quantum master equation	4
Spectral determination of semi-regular polygons	4

On the Index of Willmore spheres	4
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
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
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
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