OOIR: Observatory of International Research

Papers

(The median citation count of Geometric and Functional Analysis 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 2021-04-01 to 2025-04-01.)

Article	Citations
The exact value of Hausdorff dimension of escaping sets of class $${\mathcal {B}}$$ meromorphic functions	26
Sweepouts of closed Riemannian manifolds	25
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions	19
Classical wave methods and modern gauge transforms: spectral asymptotics in the one dimensional case	18
Relations between scaling exponents in unimodular random graphs	16
Lagrangian Subvarieties of Hyperspherical Varieties	14
Virtually Free-by-Cyclic Groups	13
Maximal Multiplicity of Laplacian Eigenvalues in Negatively Curved Surfaces	12
A numerical criterion for generalised Monge-Ampère equations on projective manifolds	11
Quasiregular Values and Rickman’s Picard Theorem	11
Direct Products of Free Groups in Aut(FN)	11
Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations	9
Monodromy groups of Kloosterman and hypergeometric sheaves	9
Ramanujan Complexes and Golden Gates in PU(3)	9
Measure rigidity of Anosov flows via the factorization method	8
Singularity of discrete random matrices	7
Fusion and Positivity in Chiral Conformal Field Theory	7
Symplectic mapping class groups of K3 surfaces and Seiberg–Witten invariants	7
Poincaré profiles of Lie groups and a coarse geometric dichotomy	7
Idempotent Fourier multipliers acting contractively on $$H^p$$ spaces	7
Sections and Unirulings of Families over $\mathbb{P}^{1}$	7
A metric analogue of Hartogs’ theorem	6
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	6
The Hadwiger Theorem on Convex Functions, I	6
Exact dimension of Furstenberg measures	6

On the Shapes of Rational Lemniscates	6
Commuting symplectomorphisms on a surface and the flux homomorphism	5
Approximate Lattices in Higher-Rank Semi-Simple Groups	5
A Continuous Cusp Closing Process for Negative Kähler-Einstein Metrics	5
Deformations of Totally Geodesic Foliations and Minimal Surfaces in Negatively Curved 3-Manifolds	4
The metric measure boundary of spaces with Ricci curvature bounded below	4
Lagrangians, SO(3)-Instantons and Mixed Equation	4
Flows on measurable spaces	4
On the Dimension of Exceptional Parameters for Nonlinear Projections, and the Discretized Elekes-Rónyai Theorem	4
Isometry group of Lorentz manifolds: A coarse perspective	4
Non-isomorphism of A∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A	4
The many faces of the stochastic zeta function	4
Automorphisms of groups and a higher rank JSJ decomposition I: RAAGs and a higher rank Makanin-Razborov diagram	4
Mapping class group orbit closures for non-orientable surfaces	4
Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves	3
An exotic II$$_1$$ factor without property Gamma	3
A Metric Fixed Point Theorem and Some of Its Applications	3
Growth of k-Dimensional Systoles in Congruence Coverings	3
Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow	3
Universality and Sharp Matrix Concentration Inequalities	3
Volume and macroscopic scalar curvature	3
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems	3
Publisher Correction to: Point-like bounding chains in open Gromov–Witten theory	3
Unit and Distinct Distances in Typical Norms	3
A comparison of the Almgren–Pitts and the Allen–Cahn min–max theory	2
Steenrod Pseudocycles, Lifted Cobordisms, and Solomon’s Relations for Welschinger Invariants	2
Non-asymptotic Results for Singular Values of Gaussian Matrix Products	2
Local uniformity through larger scales	2
Existence of Birkhoff sections for Kupka–Smale Reeb flows of closed contact 3-manifolds	2
Threshold for Steiner triple systems	2
Entangleability of cones	2
Odd Distances in Colourings of the Plane	2
Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type	2
Non-displaceable Lagrangian links in four-manifolds	2
Ricci Solitons, Conical Singularities, and Nonuniqueness	2
Measure bound for translation surfaces with short saddle connections	2
Analytic Langlands correspondence for $$PGL_2$$ on $${\mathbb {P}}^1$$ with parabolic structures over local fields	2
Dimers, networks, and cluster integrable systems	2
Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces	2
Uniqueness of some cylindrical tangent cones to special Lagrangians	2
A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton	2
A New Regularized Siegel-Weil Type Formula. Part I	1
Weakly Bounded Cohomology Classes and a Counterexample to a Conjecture of Gromov	1
Augmentations, Fillings, and Clusters	1
The Singular Support of Sheaves Is γ-Coisotropic	1
Commensurations of Aut(FN) and Its Torelli Subgroup	1
Random Walks with Bounded First Moment on Finite-volume Spaces	1
Bourgain’s slicing problem and KLS isoperimetry up to polylog	1
Homology Growth, Hyperbolization, and Fibering	1
Two Rigidity Results for Stable Minimal Hypersurfaces	1

Rigidity Theorems for Higher Rank Lattice Actions	1
Geometric Langlands Duality for Periods	1
The Parabolic U(1)-Higgs Equations and Codimension-Two Mean Curvature Flows	1
Disk-Like Surfaces of Section and Symplectic Capacities	1
On the Spielman-Teng Conjecture	1
Birkhoff Conjecture for Nearly Centrally Symmetric Domains	1
Equilibrium States of Endomorphisms of $\mathbb{P}^{k}$: Spectral Stability and Limit Theorems	1
On the Alesker-Verbitsky Conjecture on HyperKähler Manifolds	1
Lamplighters and the bounded cohomology of Thompson’s group	1
On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps	1
Large deviations for the interchange process on the interval and incompressible flows	1
Diameter estimates for long-time solutions of the Kähler–Ricci flow	1