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 2022-06-01 to 2026-06-01.)

Article	Citations
Riemann moduli spaces are quantum ergodic	17
Index one minimal surfaces in positively curved 3-manifolds	16
Rigidity of wonderful group compactifications under Fano deformations	14
Mean curvature flows of two-convex Lagrangians	12
Spherical metrics with one singularity and odd integer angle on flat tori, I	11
Conical Calabi–Yau metrics on toric affine varieties and convex cones	10
Instantons on multi-taub-nut spaces ii: bow construction	9
Vertex algebras and quantum master equation	9
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	9
On connectedness of non-klt loci of singularities of pairs	8
Minimal hypersurfaces with cylindrical tangent cones	8
Fractional anisotropic Calderón problem on closed Riemannian manifolds	8
Gopakumar–Vafa invariants and wall-crossing	8
Calabi–Yau metrics with conical singularities along line arrangements	8
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	8
Semistability, modular lattices, and iterated logarithms	7
The stable cohomology of moduli spaces of sheaves on surfaces	7
Harmonic map flow for almost-holomorphic maps	7
Band width estimates via the Dirac operator	7
Deformations of singular Fano and Calabi-Yau varieties	7
Sharp existence, symmetry and asymptotics results for the singular $SU(3)$ Toda system with critical parameters	7
Dirac geometry and integration of Poisson homogeneous spaces	7
Green's functions and complex Monge–Ampère equations	6
Infinitely many families of Sasaki-Einstein metrics on spheres	6
Minimal rational curves on complete symmetric varieties	6

A new flow solving the LYZ equation in Kähler geometry	6
Short closed geodesics and the Willmore energy	6
Anosov triangle reflection groups in $\mathrm{SL}(3, \mathbb{R})$	6
Hamiltonian 2-forms and new explicit Calabi–Yau metrics and gradient steady Kähler–Ricci solitons on $\mathbb{C}^n$	5
On O’Hara knot energies I: Regularity for critical knots	5
On second eigenvalues of closed hyperbolic surfaces for large genus	5
On the Index of Willmore spheres	5
A family of 3d steady gradient solitons that are flying wings	5
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	5
Proper holomorphic maps between bounded symmetric domains with small rank differences	5
The trace embedding lemma and spinelessness	5
The Arc-Floer conjecture for plane curves	5
Intrinsic rigidity of extremal horizons	5
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness	5
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	4
On minimal varieties growing from quasismooth weighted hypersurfaces	4
Cabling Legendrian and transverse knots	4
Boundedness of elliptic Calabi–Yau varieties with a rational section	4
Corks, exotic 4-manifolds and knot concordance	4
RC-positivity and the generalized energy density I: Rigidity	4
Gauge theory for string algebroids	4
CR eigenvalue estimate and Kohn–Rossi cohomology	4
Rigidity of the round cylinders in Ricci shrinkers	4
The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces	4
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	4
Contractible 3-manifold and Positive scalar curvature (I)	4
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	4
Global Nash–Kuiper theorem for compact manifolds	4
Supersymmetric localization, modularity and the Witten genus	4
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	4
A scattering theory construction of dynamical vacuum black holes	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
Sharp results for spherical metric on flat tori with conical angle $6 \pi$ at two symmetric points	3
A proof of Gromov's cube inequality on scalar curvature	3
Smooth Fock bundles, and spinor bundles on loop space	3
On the topology and index of minimal surfaces II	3
Intersection de Rham complexes in positive characteristic	3
Stringy Kähler moduli, mutation and monodromy	3
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	3
Gluing localized mirror functors	3
Asymptotics of quantum $6j$ symbols	3
On the geometry of silent and anisotropic big bang singularities	3
On Completeness and dynamics of compact Brinkmann spacetimes	3
Higher Lelong numbers versus full Monge–Ampère mass	3
Spectral determination of semi-regular polygons	3
Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	3
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	3
Min-max minimal hypersurfaces with higher multiplicity	3
On the essential spectrum of differential operators over geometrically finite orbifolds	3

The loop equation for special cubic Hodge integrals	3
Transcendental Okounkov bodies	2
Limiting configurations for the $\operatorname{SU}(1,2)$ -Hitchin equation	2
On the geometric structure of currents tangent to smooth distributions	2
Boundedness of polarized log Calabi–Yau fibrations	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
SRB measures for Anosov actions	2
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces	2
The infinitesimal and global Thurston geometry of Teichmüller space	2
Symplectic boundary conditions and cohomology	2
On the evolution of hypersurfaces along their inverse space-time mean curvature	2
Schoen's conjecture for limits of isoperimetric surfaces	2
Generic injectivity of the X-ray transform	2
Diameter bounds for degenerating Calabi–Yau metrics	2
Ricci limit spaces are semi-locally simply connected	2
Multiplicities of irreducible theta divisors	2
Definite fillings of lens spaces	2
The Nielsen realization problem for K3 surfaces	2
On the embedding complexity of Liouville manifolds	2
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	2
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	2
Three-manifolds with non-negatively pinched Ricci curvature	2
On the transcendence of period images	2
Morse inequalities for the area functional	2
On the Betti numbers of finite volume real- and complex-hyperbolic manifolds	2
Min-max construction of minimal surfaces with a fixed angle at the boundary	2
Higgs bundles and SYZ geometry	2
The McKay correspondence for isolated singularities via Floer theory	2
Morita equivalence and the generalized Kähler potential	2
Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds	2
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	2
The dilogarithm and abelian Chern–Simons	2