OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Differential Geometry is 1. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Instantons on multi-taub-nut spaces ii: bow construction	16
Riemann moduli spaces are quantum ergodic	15
Index one minimal surfaces in positively curved 3-manifolds	15
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	14
Conical Calabi–Yau metrics on toric affine varieties and convex cones	12
Mean curvature flows of two-convex Lagrangians	11
Rigidity of wonderful group compactifications under Fano deformations	10
Calabi–Yau metrics with conical singularities along line arrangements	9
Vertex algebras and quantum master equation	9
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	7
Gopakumar–Vafa invariants and wall-crossing	7
On connectedness of non-klt loci of singularities of pairs	7
The stable cohomology of moduli spaces of sheaves on surfaces	6
Dirac geometry and integration of Poisson homogeneous spaces	6
Wandering singularities	6
Band width estimates via the Dirac operator	6
Semistability, modular lattices, and iterated logarithms	5
Sharp existence, symmetry and asymptotics results for the singular $SU(3)$ Toda system with critical parameters	5
Deformations of singular Fano and Calabi-Yau varieties	5
A new flow solving the LYZ equation in Kähler geometry	5
Collapsing ancient solutions of mean curvature flow	4
Symplectic rational $G$-surfaces and equivariant symplectic cones	4
Harmonic map flow for almost-holomorphic maps	4
A family of 3d steady gradient solitons that are flying wings	4
On the Index of Willmore spheres	4

Green's functions and complex Monge–Ampère equations	4
Infinitely many families of Sasaki-Einstein metrics on spheres	4
Cohomology of contact loci	4
The trace embedding lemma and spinelessness	4
A note on Selberg’s lemma and negatively curved Hadamard manifolds	4
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness	4
Hamiltonian 2-forms and new explicit Calabi–Yau metrics and gradient steady Kähler–Ricci solitons on $\mathbb{C}^n$	4
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	4
Gauge theory for string algebroids	3
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	3
On O’Hara knot energies I: Regularity for critical knots	3
CR eigenvalue estimate and Kohn–Rossi cohomology	3
Supersymmetric localization, modularity and the Witten genus	3
On minimal varieties growing from quasismooth weighted hypersurfaces	3
Cabling Legendrian and transverse knots	3
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	3
Tropical enumeration of curves in blowups of $\mathbb{C} P^2$	3
Cusp excursions of random geodesics in Weil–Petersson type metrics	3
Rigidity of the round cylinders in Ricci shrinkers	3
Global Nash–Kuiper theorem for compact manifolds	3
Instability of spherical naked singularities of a scalar field under gravitational perturbations	3
Contractible 3-manifold and Positive scalar curvature (I)	3
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	3
Constructing monotone homotopies and sweepouts	3
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	3
On second eigenvalues of closed hyperbolic surfaces for large genus	3
The stable converse soul question for positively curved homogeneous spaces	3
Boundedness of elliptic Calabi–Yau varieties with a rational section	3
A scattering theory construction of dynamical vacuum black holes	3
Stringy Kähler moduli, mutation and monodromy	2
Gluing localized mirror functors	2
The Nielsen realization problem for K3 surfaces	2
Critical values of homology classes of loops and positive curvature	2
The McKay correspondence for isolated singularities via Floer theory	2
Multiplicities of irreducible theta divisors	2
Constant mean curvature spheres in homogeneous three-spheres	2
Min-max minimal hypersurfaces with higher multiplicity	2
Intersection de Rham complexes in positive characteristic	2
RC-positivity and the generalized energy density I: Rigidity	2
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	2
Complete complex hypersurfaces in the ball come in foliations	2
Diameter bounds for degenerating Calabi–Yau metrics	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
Asymptotics of quantum $6j$ symbols	2
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces	2
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets	2
Higher Lelong numbers versus full Monge–Ampère mass	2
The loop equation for special cubic Hodge integrals	2
On the topology and index of minimal surfaces II	2
A proof of Gromov's cube inequality on scalar curvature	2

Smooth Fock bundles, and spinor bundles on loop space	2
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	2
Morse inequalities for the area functional	2
On the transcendence of period images	2
Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	2
Symmetries of exotic negatively curved manifolds	2
Spectral determination of semi-regular polygons	2
On the essential spectrum of differential operators over geometrically finite orbifolds	2
Hyperbolic groups containing subgroups of type $\mathscr{F}_3$ not $\mathscr{F}_4$	2
Definite fillings of lens spaces	1
The log minimal model program for Kähler 3-folds	1
Immersed two-spheres and SYZ with application to Grassmannians	1
The affine shape of a figure 8 under the curve shortening flow	1
Instanton Floer homology for sutured manifolds with tangles	1
Min-max minimal surfaces, horizons and electrostatic systems	1
Higgs bundles and SYZ geometry	1
An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds	1
A localized spacetime Penrose inequality and horizon detection with quasi-local mass	1
On the Betti numbers of finite volume real- and complex-hyperbolic manifolds	1
Index to Volume 119	1
The singular set of minimal surfaces near polyhedral cones	1
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	1
Morita equivalence and the generalized Kähler potential	1
Generic injectivity of the X-ray transform	1
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	1
The renormalized volume of a $4$-dimensional Ricci-flat ALE space	1
On non-diffractive cones	1
Jumps in the height of the Ceresa cycle	1
The geometry of domains with negatively pinched Kähler metrics	1
Refined disk potentials for immersed Lagrangian surfaces	1
Closed geodesics on connected sums and $3$-manifolds	1
The Carter tensor and the physical-space analysis in perturbations of Kerr–Newman spacetime	1
On the min-max width of unit volume three-spheres	1
Boundedness of polarized log Calabi–Yau fibrations	1
On the evolution of hypersurfaces along their inverse space-time mean curvature	1
On the embedding complexity of Liouville manifolds	1
On the geometric structure of currents tangent to smooth distributions	1
Smooth valuations on convex functions	1
Blowups and blowdowns of geodesics in Carnot groups	1
Minimal planes in asymptotically flat three-manifolds	1
Super McShane identity	1
Symplectic boundary conditions and cohomology	1
Generalized square knots and homotopy $4$-spheres	1
The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics	1
Ricci limit spaces are semi-locally simply connected	1
Existence of multiple closed CMC hypersurfaces with small mean curvature	1
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	1
Growth of quantum $6j$-symbols and applications to the volume conjecture	1
SRB measures for Anosov actions	1
The dilogarithm and abelian Chern–Simons	1