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 2022-01-01 to 2026-01-01.)

Article	Citations
Riemann moduli spaces are quantum ergodic	16
Instantons on multi-taub-nut spaces ii: bow construction	15
Index one minimal surfaces in positively curved 3-manifolds	14
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	12
Rigidity of wonderful group compactifications under Fano deformations	10
Vertex algebras and quantum master equation	10
Conical Calabi–Yau metrics on toric affine varieties and convex cones	10
Mean curvature flows of two-convex Lagrangians	9
Calabi–Yau metrics with conical singularities along line arrangements	7
On connectedness of non-klt loci of singularities of pairs	7
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	7
Gopakumar–Vafa invariants and wall-crossing	7
Deformations of singular Fano and Calabi-Yau varieties	6
Fractional anisotropic Calderón problem on closed Riemannian manifolds	6
Band width estimates via the Dirac operator	6
The stable cohomology of moduli spaces of sheaves on surfaces	6
A note on Selberg’s lemma and negatively curved Hadamard manifolds	5
Semistability, modular lattices, and iterated logarithms	5
Sharp existence, symmetry and asymptotics results for the singular $SU(3)$ Toda system with critical parameters	5
Infinitely many families of Sasaki-Einstein metrics on spheres	5
A new flow solving the LYZ equation in Kähler geometry	5
Dirac geometry and integration of Poisson homogeneous spaces	5
Green's functions and complex Monge–Ampère equations	5
Harmonic map flow for almost-holomorphic maps	5
Anosov triangle reflection groups in $\mathrm{SL}(3, \mathbb{R})$	4

Cohomology of contact loci	4
Proper holomorphic maps between bounded symmetric domains with small rank differences	4
CR eigenvalue estimate and Kohn–Rossi cohomology	4
Supersymmetric localization, modularity and the Witten genus	4
Hamiltonian 2-forms and new explicit Calabi–Yau metrics and gradient steady Kähler–Ricci solitons on $\mathbb{C}^n$	4
On the Index of Willmore spheres	4
The trace embedding lemma and spinelessness	4
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	4
Cusp excursions of random geodesics in Weil–Petersson type metrics	4
The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces	4
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness	4
A family of 3d steady gradient solitons that are flying wings	4
On second eigenvalues of closed hyperbolic surfaces for large genus	4
Intrinsic rigidity of extremal horizons	4
Rigidity of the round cylinders in Ricci shrinkers	4
On O’Hara knot energies I: Regularity for critical knots	4
RC-positivity and the generalized energy density I: Rigidity	3
Stringy Kähler moduli, mutation and monodromy	3
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	3
On the essential spectrum of differential operators over geometrically finite orbifolds	3
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	3
Cabling Legendrian and transverse knots	3
On minimal varieties growing from quasismooth weighted hypersurfaces	3
Instability of spherical naked singularities of a scalar field under gravitational perturbations	3
Tropical enumeration of curves in blowups of $\mathbb{C} P^2$	3
Intersection de Rham complexes in positive characteristic	3
Hyperbolic groups containing subgroups of type $\mathscr{F}_3$ not $\mathscr{F}_4$	3
Contractible 3-manifold and Positive scalar curvature (I)	3
Global Nash–Kuiper theorem for compact manifolds	3
Gauge theory for string algebroids	3
The loop equation for special cubic Hodge integrals	3
Min-max minimal hypersurfaces with higher multiplicity	3
Spectral determination of semi-regular polygons	3
On the topology and index of minimal surfaces II	3
A scattering theory construction of dynamical vacuum black holes	3
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	3
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	3
Boundedness of elliptic Calabi–Yau varieties with a rational section	3
Three-manifolds with non-negatively pinched Ricci curvature	2
Higgs bundles and SYZ geometry	2
Morse inequalities for the area functional	2
SRB measures for Anosov actions	2
The infinitesimal and global Thurston geometry of Teichmüller space	2
The McKay correspondence for isolated singularities via Floer theory	2
On the geometric structure of currents tangent to smooth distributions	2
Asymptotics of quantum $6j$ symbols	2
Multiplicities of irreducible theta divisors	2
Complete complex hypersurfaces in the ball come in foliations	2
Symmetries of exotic negatively curved manifolds	2
Constant mean curvature spheres in homogeneous three-spheres	2

The Nielsen realization problem for K3 surfaces	2
Generic injectivity of the X-ray transform	2
On the embedding complexity of Liouville manifolds	2
Morita equivalence and the generalized Kähler potential	2
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	2
Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	2
The dilogarithm and abelian Chern–Simons	2
Min-max construction of minimal surfaces with a fixed angle at the boundary	2
Limiting configurations for the $\operatorname{SU}(1,2)$ -Hitchin equation	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
Higher Lelong numbers versus full Monge–Ampère mass	2
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	2
A proof of Gromov's cube inequality on scalar curvature	2
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets	2
Gluing localized mirror functors	2
On the transcendence of period images	2
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	2
Growth of quantum $6j$-symbols and applications to the volume conjecture	2
On the evolution of hypersurfaces along their inverse space-time mean curvature	2
Diameter bounds for degenerating Calabi–Yau metrics	2
Transcendental Okounkov bodies	2
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces	2
Smooth Fock bundles, and spinor bundles on loop space	2
Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds	2
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	2
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	2
On non-diffractive cones	1
Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry	1
Jumps in the height of the Ceresa cycle	1
Min-max minimal surfaces, horizons and electrostatic systems	1
Minimal planes in asymptotically flat three-manifolds	1
The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics	1
On the min-max width of unit volume three-spheres	1
Ricci limit spaces are semi-locally simply connected	1
An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds	1
The log minimal model program for Kähler 3-folds	1
Blowups and blowdowns of geodesics in Carnot groups	1
Bitangents to a quartic surface and infinitesimal Torelli	1
The geometry of domains with negatively pinched Kähler metrics	1
On the uniqueness of the Prym map	1
The Carter tensor and the physical-space analysis in perturbations of Kerr–Newman spacetime	1
Super McShane identity	1
Existence of multiple closed CMC hypersurfaces with small mean curvature	1
The renormalized volume of a $4$-dimensional Ricci-flat ALE space	1
Definite fillings of lens spaces	1
Closed geodesics on connected sums and $3$-manifolds	1
On the Betti numbers of finite volume real- and complex-hyperbolic manifolds	1
A localized spacetime Penrose inequality and horizon detection with quasi-local mass	1
Poles of cubic differentials and ends of convex $\mathbb{RP}^2$-surfaces	1
Immersed two-spheres and SYZ with application to Grassmannians	1
The index formula for families of Dirac type operators on pseudomanifolds	1
The affine shape of a figure 8 under the curve shortening flow	1
Smooth valuations on convex functions	1
Schwartz’s complex hyperbolic surface	1
Refined disk potentials for immersed Lagrangian surfaces	1
The singular set of minimal surfaces near polyhedral cones	1
Boundedness of polarized log Calabi–Yau fibrations	1
Symplectic boundary conditions and cohomology	1
Instanton Floer homology for sutured manifolds with tangles	1
Moduli spaces and period mappings of genus one fibered K3 surfaces	1
Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces	1