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 2022-05-01 to 2026-05-01.)

Article	Citations
Riemann moduli spaces are quantum ergodic	17
Index one minimal surfaces in positively curved 3-manifolds	16
Instantons on multi-taub-nut spaces ii: bow construction	14
Rigidity of wonderful group compactifications under Fano deformations	12
Spherical metrics with one singularity and odd integer angle on flat tori, I	11
Mean curvature flows of two-convex Lagrangians	10
Conical Calabi–Yau metrics on toric affine varieties and convex cones	9
Gopakumar–Vafa invariants and wall-crossing	8
On connectedness of non-klt loci of singularities of pairs	8
Vertex algebras and quantum master equation	8
Open $r$-spin theory II: The analogue of Witten’s conjecture for $r$-spin disks	8
Calabi–Yau metrics with conical singularities along line arrangements	8
Fractional anisotropic Calderón problem on closed Riemannian manifolds	8
A Nakai–Moishezon Type criterion for supercritical deformed Hermitian–Yang–Mills equation	8
Minimal rational curves on complete symmetric varieties	7
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
Dirac geometry and integration of Poisson homogeneous spaces	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
Band width estimates via the Dirac operator	7
A new flow solving the LYZ equation in Kähler geometry	6
Green's functions and complex Monge–Ampère equations	6
Short closed geodesics and the Willmore energy	6

Proper holomorphic maps between bounded symmetric domains with small rank differences	6
Infinitely many families of Sasaki-Einstein metrics on spheres	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
A family of 3d steady gradient solitons that are flying wings	5
Intrinsic rigidity of extremal horizons	5
The trace embedding lemma and spinelessness	5
On O’Hara knot energies I: Regularity for critical knots	5
CR eigenvalue estimate and Kohn–Rossi cohomology	5
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness	5
On the Index of Willmore spheres	5
On second eigenvalues of closed hyperbolic surfaces for large genus	5
Morse-Novikov numbers, tunnel numbers, and handle numbers of sutured manifolds	5
Corks, exotic 4-manifolds and knot concordance	4
Tropical enumeration of curves in blowups of $\mathbb{C} P^2$	4
Cusp excursions of random geodesics in Weil–Petersson type metrics	4
On minimal varieties growing from quasismooth weighted hypersurfaces	4
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder	4
A scattering theory construction of dynamical vacuum black holes	4
Gauge theory for string algebroids	4
Morse homotopy for the $SU(2)$-Chern–Simons perturbation theory	4
Rigidity of the round cylinders in Ricci shrinkers	4
The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces	4
Cabling Legendrian and transverse knots	4
Contractible 3-manifold and Positive scalar curvature (I)	4
Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel	4
Supersymmetric localization, modularity and the Witten genus	4
Boundedness of elliptic Calabi–Yau varieties with a rational section	4
Global Nash–Kuiper theorem for compact manifolds	4
The loop equation for special cubic Hodge integrals	3
RC-positivity and the generalized energy density I: Rigidity	3
Unfolded Seiberg–Witten Floer spectra, II: Relative invariants and the gluing theorem	3
Min-max minimal hypersurfaces with higher multiplicity	3
Higher Lelong numbers versus full Monge–Ampère mass	3
Smooth Fock bundles, and spinor bundles on loop space	3
A proof of Gromov's cube inequality on scalar curvature	3
On Completeness and dynamics of compact Brinkmann spacetimes	3
On the topology and index of minimal surfaces II	3
Stringy Kähler moduli, mutation and monodromy	3
Spectral determination of semi-regular polygons	3
Scattering diagrams from holomorphic discs in log Calabi-Yau surfaces	3
The McKay correspondence for isolated singularities via Floer theory	3
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	3
Intersection de Rham complexes in positive characteristic	3
On the essential spectrum of differential operators over geometrically finite orbifolds	3
Hyperbolic groups containing subgroups of type $\mathscr{F}_3$ not $\mathscr{F}_4$	3
On the geometry of silent and anisotropic big bang singularities	3
Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes	3
Asymptotics of quantum $6j$ symbols	3
Gluing localized mirror functors	3

Inequalities of Chern classes on nonsingular projective $n$-folds with ample canonical or anti-canonical line bundles	3
Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds	2
Limiting configurations for the $\operatorname{SU}(1,2)$ -Hitchin equation	2
Morse inequalities for the area functional	2
Min-max construction of minimal surfaces with a fixed angle at the boundary	2
The dilogarithm and abelian Chern–Simons	2
On the min-max width of unit volume three-spheres	2
Ricci limit spaces are semi-locally simply connected	2
Definite fillings of lens spaces	2
The infinitesimal and global Thurston geometry of Teichmüller space	2
Higgs bundles and SYZ geometry	2
On the transcendence of period images	2
Generic injectivity of the X-ray transform	2
Three-manifolds with non-negatively pinched Ricci curvature	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
Diameter bounds for degenerating Calabi–Yau metrics	2
Canonical orientations for moduli spaces of $G_2$-instantons with gauge group $\mathrm{SU}(m)$ or $\mathrm{U}(m)$	2
The renormalized volume of a $4$-dimensional Ricci-flat ALE space	2
On the Betti numbers of finite volume real- and complex-hyperbolic manifolds	2
Morita equivalence and the generalized Kähler potential	2
Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar	2
On the geometric structure of currents tangent to smooth distributions	2
Transcendental Okounkov bodies	2
Complete complex hypersurfaces in the ball come in foliations	2
The Nielsen realization problem for K3 surfaces	2
Multiplicities of irreducible theta divisors	2
From Seiberg-Witten to Gromov: MCE and singular symplectic forms	2
On the evolution of hypersurfaces along their inverse space-time mean curvature	2
Symplectic boundary conditions and cohomology	2
Boundedness of polarized log Calabi–Yau fibrations	2
On the embedding complexity of Liouville manifolds	2
SRB measures for Anosov actions	2