OOIR: Observatory of International Research

Papers

(The median citation count 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 2022-08-01 to 2026-08-01.)

Article	Citations
Riemann moduli spaces are quantum ergodic	18
Index one minimal surfaces in positively curved 3-manifolds	16
Rigidity of wonderful group compactifications under Fano deformations	14
Spherical metrics with one singularity and odd integer angle on flat tori, I	13
Mean curvature flows of two-convex Lagrangians	13
Conical Calabi–Yau metrics on toric affine varieties and convex cones	12
Instantons on multi-taub-nut spaces ii: bow construction	11
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	10
Vertex algebras and quantum master equation	10
On connectedness of non-klt loci of singularities of pairs	10
Fractional anisotropic Calderón problem on closed Riemannian manifolds	9
Calabi–Yau metrics with conical singularities along line arrangements	9
Minimal hypersurfaces with cylindrical tangent cones	8
Band width estimates via the Dirac operator	8
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	8
Semistability, modular lattices, and iterated logarithms	8
Deformations of singular Fano and Calabi-Yau varieties	8
Gopakumar–Vafa invariants and wall-crossing	8
Dirac geometry and integration of Poisson homogeneous spaces	8
Harmonic map flow for almost-holomorphic maps	7
Sharp existence, symmetry and asymptotics results for the singular $SU(3)$ Toda system with critical parameters	7
Green's functions and complex Monge–Ampère equations	7
Minimal rational curves on complete symmetric varieties	7
A new flow solving the LYZ equation in Kähler geometry	7
Short closed geodesics and the Willmore energy	7

Infinitely many families of Sasaki-Einstein metrics on spheres	7
A family of 3d steady gradient solitons that are flying wings	6
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness	6
Hamiltonian 2-forms and new explicit Calabi–Yau metrics and gradient steady Kähler–Ricci solitons on $\mathbb{C}^n$	6
Anosov triangle reflection groups in $\mathrm{SL}(3, \mathbb{R})$	6
On the Index of Willmore spheres	6
The trace embedding lemma and spinelessness	6
Proper holomorphic maps between bounded symmetric domains with small rank differences	6
Rigidity of the round cylinders in Ricci shrinkers	5
The Arc-Floer conjecture for plane curves	5
Supersymmetric localization, modularity and the Witten genus	5
Global Nash–Kuiper theorem for compact manifolds	5
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	5
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	5
Intrinsic rigidity of extremal horizons	5
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	5
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	5
The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces	5
On second eigenvalues of closed hyperbolic surfaces for large genus	5
CR eigenvalue estimate and Kohn–Rossi cohomology	5
On minimal varieties growing from quasismooth weighted hypersurfaces	5
Boundedness of elliptic Calabi–Yau varieties with a rational section	5
A scattering theory construction of dynamical vacuum black holes	4
Corks, exotic 4-manifolds and knot concordance	4
On the geometry of silent and anisotropic big bang singularities	4
On the essential spectrum of differential operators over geometrically finite orbifolds	4
Cabling Legendrian and transverse knots	4
Tropical enumeration of curves in blowups of $\mathbb{C} P^2$	4
Hyperbolic groups containing subgroups of type $\mathscr{F}_3$ not $\mathscr{F}_4$	4
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	4
Gauge theory for string algebroids	4
Contractible 3-manifold and Positive scalar curvature (I)	4
RC-positivity and the generalized energy density I: Rigidity	4
On the topology and index of minimal surfaces II	4
Spectral determination of semi-regular polygons	3
On Completeness and dynamics of compact Brinkmann spacetimes	3
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	3
Gluing localized mirror functors	3
Asymptotics of quantum $6j$ symbols	3
Multiplicities of irreducible theta divisors	3
Morse inequalities for the area functional	3
Intersection de Rham complexes in positive characteristic	3
Min-max minimal hypersurfaces with higher multiplicity	3
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	3
Sharp results for spherical metric on flat tori with conical angle $6 \pi$ at two symmetric points	3
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces	3
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	3
Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	3
Stringy Kähler moduli, mutation and monodromy	3
Higher Lelong numbers versus full Monge–Ampère mass	3

A proof of Gromov's cube inequality on scalar curvature	3
Smooth Fock bundles, and spinor bundles on loop space	3
The McKay correspondence for isolated singularities via Floer theory	3
Min-max construction of minimal surfaces with a fixed angle at the boundary	3
Three-manifolds with non-negatively pinched Ricci curvature	2
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	2
Symplectic boundary conditions and cohomology	2
On the min-max width of unit volume three-spheres	2
The dilogarithm and abelian Chern–Simons	2
Ricci limit spaces are semi-locally simply connected	2
On the geometric structure of currents tangent to smooth distributions	2
Higgs bundles and SYZ geometry	2
The infinitesimal and global Thurston geometry of Teichmüller space	2
Generic injectivity of the X-ray transform	2
Diameter bounds for degenerating Calabi–Yau metrics	2
On the transcendence of period images	2
On the embedding complexity of Liouville manifolds	2
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	2
Instability of conformally Kähler, Einstein metrics	2
On the Betti numbers of finite volume real- and complex-hyperbolic manifolds	2
SRB measures for Anosov actions	2
Transcendental Okounkov bodies	2
Boundedness of polarized log Calabi–Yau fibrations	2
Limiting configurations for the $\operatorname{SU}(1,2)$ -Hitchin equation	2
The Nielsen realization problem for K3 surfaces	2
On the evolution of hypersurfaces along their inverse space-time mean curvature	2
Existence of multiple closed CMC hypersurfaces with small mean curvature	2
Definite fillings of lens spaces	2
Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds	2
The Carter tensor and the physical-space analysis in perturbations of Kerr–Newman spacetime	2
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	2
Schoen's conjecture for limits of isoperimetric surfaces	2