OOIR: Observatory of International Research

Papers

(The TQCC 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 2020-11-01 to 2024-11-01.)

Article	Citations
Min-max theory for free boundary minimal hypersurfaces, I: Regularity theory	22
Fu–Yau Hessian equations	16
An isoperimetric inequality for Laplace eigenvalues on the sphere	16
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball	13
Uniqueness of immersed spheres in three-manifolds	12
Projective Anosov representations, convex cocompact actions, and rigidity	12
A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces	11
Linear stability of Schwarzschild spacetime: Decay of metric coefficients	9
Collapsing ancient solutions of mean curvature flow	9
Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations	9
A construction of infinitely many solutions to the Strominger system	8
Weinstock inequality in higher dimensions	8
Scalar curvature and harmonic maps to $S^1$	8
Band width estimates via the Dirac operator	7
Volume preserving flow by powers of the $k$th mean curvature	7
On collapsing Calabi–Yau fibrations	7
Allen–Cahn min-max on surfaces	7
Growth of quantum $6j$-symbols and applications to the volume conjecture	6
From the Hitchin section to opers through nonabelian Hodge	6
Scherk-like translators for mean curvature flow	6
The moduli space of two-convex embedded spheres	6
Existence and limiting behavior of min-max solutions of the Ginzburg–Landau equations on compact manifolds	6
An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds	5
Integral geometry of exceptional spheres	5
On the topology and index of minimal surfaces II	4

Morse inequalities for the area functional	4
Basmajian-type inequalities for maximal representations	4
The singular set of minimal surfaces near polyhedral cones	4
Symmetric differentials on complex hyperbolic manifolds with cusps	4
Characterizing symplectic Grassmannians by varieties of minimal rational tangents	4
Constant mean curvature spheres in homogeneous three-spheres	4
A quantum Leray–Hirsch theorem for banded gerbes	4
The stable converse soul question for positively curved homogeneous spaces	4
The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	4
Smoothings and rational double point adjacencies for cusp singularities	4
Geodesic behavior for Finsler metrics of constant positive flag curvature on $S^2$	3
Gauss–Manin connection in disguise: Dwork family	3
Gopakumar–Vafa invariants and wall-crossing	3
The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics	3
Blowups and blowdowns of geodesics in Carnot groups	3
Instantons on multi-Taub-NUT spaces I: Asymptotic form and index theorem	3
Free boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc	3
Local control on the geometry in 3D Ricci flow	3
The stable cohomology of moduli spaces of sheaves on surfaces	3
Correspondence theorem between holomorphic discs and tropical discs on K3 surfaces	3
Nodal intersections and geometric control	3
Harmonic quasi-isometric maps into Gromov hyperbolic $\operatorname{CAT}(0)$-spaces	2
Nonclassical minimizing surfaces with smooth boundary	2
Weakly symmetric pseudo–Riemannian nilmanifolds	2
The index formula for families of Dirac type operators on pseudomanifolds	2
On the hyperplane conjecture for periods of Calabi–Yau hypersurfaces in $\mathbf{P}^n$	2
$SU(2)$-cyclic surgeries and the pillowcase	2
Vertex algebras and quantum master equation	2
Closed geodesics on connected sums and $3$-manifolds	2
Improvements for eigenfunction averages: An application of geodesic beams	2
The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary	2
On the geometric structure of currents tangent to smooth distributions	2
Cusp excursions of random geodesics in Weil–Petersson type metrics	2
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets	2
On the existence of harmonic $Z_2$ spinors	2
Algebraic torus actions on contact manifolds	2
Instability of spherical naked singularities of a scalar field under gravitational perturbations	2
Generalized square knots and homotopy $4$-spheres	2
Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics	2
Refined disk potentials for immersed Lagrangian surfaces	2