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 2020-04-01 to 2024-04-01.)

Article	Citations
Isoparametric hypersurfaces with four principal curvatures, IV	26
Space of Ricci flows (II)—Part B: Weak compactness of the flows	21
Min-max theory for free boundary minimal hypersurfaces, I: Regularity theory	18
Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities	18
The nonexistence of negative weight derivations on positive dimensional isolated singularities: Generalized Wahl conjecture	17
The catenoid estimate and its geometric applications	17
An intrinsic hyperboloid approach for Einstein Klein–Gordon equations	17
The Kähler–Ricci flow and optimal degenerations	16
An isoperimetric inequality for Laplace eigenvalues on the sphere	16
Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions	13
Fu–Yau Hessian equations	13
Uniqueness of immersed spheres in three-manifolds	12
Collapsing ancient solutions of mean curvature flow	10
Chern–Ricci flows on noncompact complex manifolds	10
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball	10
A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces	9
Linear stability of Schwarzschild spacetime: Decay of metric coefficients	8
Projective Anosov representations, convex cocompact actions, and rigidity	8
On the global rigidity of sphere packings on $3$-dimensional manifolds	7
A construction of infinitely many solutions to the Strominger system	7
Volume preserving flow by powers of the $k$th mean curvature	6
Weinstock inequality in higher dimensions	6
Allen–Cahn min-max on surfaces	6
On collapsing Calabi–Yau fibrations	6
Growth of quantum $6j$-symbols and applications to the volume conjecture	6

Minimizing cones associated with isoparametric foliations	5
An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds	5
Existence and limiting behavior of min-max solutions of the Ginzburg–Landau equations on compact manifolds	5
Integral geometry of exceptional spheres	5
Rational curves on general type hypersurfaces	5
Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations	5
The moduli space of two-convex embedded spheres	4
Morse inequalities for the area functional	4
Expanding Kähler–Ricci solitons coming out of Kähler cones	4
Regularity theory for $2$-dimensional almost minimal currents III: Blowup	4
Scherk-like translators for mean curvature flow	4
Characterizing symplectic Grassmannians by varieties of minimal rational tangents	4
The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	4
Smoothings and rational double point adjacencies for cusp singularities	4
Symmetric differentials on complex hyperbolic manifolds with cusps	4
The reverse Yang–Mills–Higgs flow in a neighbourhood of a critical point	4
Constant mean curvature spheres in homogeneous three-spheres	4
On the topology and index of minimal surfaces II	3
Band width estimates via the Dirac operator	3
Correspondence theorem between holomorphic discs and tropical discs on K3 surfaces	3
The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics	3
The singular set of minimal surfaces near polyhedral cones	3
Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$	3
Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics	3
Scalar curvature and harmonic maps to $S^1$	3
From the Hitchin section to opers through nonabelian Hodge	3
A quantum Leray–Hirsch theorem for banded gerbes	3
The stable converse soul question for positively curved homogeneous spaces	3
Instantons on multi-Taub-NUT spaces I: Asymptotic form and index theorem	3
Nodal intersections and geometric control	3
Basmajian-type inequalities for maximal representations	3
Totally geodesic submanifolds of Teichmüller space	2
Harmonic quasi-isometric maps into Gromov hyperbolic $\operatorname{CAT}(0)$-spaces	2
Improvements for eigenfunction averages: An application of geodesic beams	2
On the geometric structure of currents tangent to smooth distributions	2
Gauss–Manin connection in disguise: Dwork family	2
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	2
Closed geodesics on connected sums and $3$-manifolds	2
Algebraic torus actions on contact manifolds	2
Limits of $\alpha$-harmonic maps	2
The stable cohomology of moduli spaces of sheaves on surfaces	2
Refined disk potentials for immersed Lagrangian surfaces	2
Local control on the geometry in 3D Ricci flow	2
Nonclassical minimizing surfaces with smooth boundary	2
Blowups and blowdowns of geodesics in Carnot groups	2
On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$	2
Cusp excursions of random geodesics in Weil–Petersson type metrics	2
Fukaya $A_\infty$-structures associated to Lefschetz fibrations. III	1
Immersed two-spheres and SYZ with application to Grassmannians	1
Critical values of homology classes of loops and positive curvature	1

On O’Hara knot energies I: Regularity for critical knots	1
Adiabatic limits of anti-self-dual connections on collapsed $K3$ surfaces	1
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds	1
Cohomology of contact loci	1
On the existence of harmonic $Z_2$ spinors	1
New proof for the regularity of Monge–Ampère type equations	1
Constructing monotone homotopies and sweepouts	1
Weakly symmetric pseudo–Riemannian nilmanifolds	1
The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary	1
Harmonic maps from $S^3$ into $S^2$ with low Morse index	1
$SU(2)$-cyclic surgeries and the pillowcase	1
Gopakumar–Vafa invariants and wall-crossing	1
Vertex algebras and quantum master equation	1
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets	1
A note on Selberg’s lemma and negatively curved Hadamard manifolds	1
Generalized square knots and homotopy $4$-spheres	1
The index formula for families of Dirac type operators on pseudomanifolds	1
Semistability, modular lattices, and iterated logarithms	1
Global Nash–Kuiper theorem for compact manifolds	1
Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori	1
The McKay correspondence for isolated singularities via Floer theory	1
On type-preserving representations of thrice punctured projective plane group	1
Existence of infinitely many free boundary minimal hypersurfaces	1
Rank 2 affine manifolds in genus $3$	1