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 2020-11-01 to 2024-11-01.)

Article	Citations
An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture	53
Bourgain’s slicing problem and KLS isoperimetry up to polylog	26
Entangleability of cones	25
Random hyperbolic surfaces of large genus have first eigenvalues greater than $$\frac{3}{16}-\epsilon $$	16
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	15
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues	14
A proof of Ringel’s conjecture	13
Short geodesic loops and $$L^p$$ norms of eigenfunctions on large genus random surfaces	13
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems	12
A numerical criterion for generalised Monge-Ampère equations on projective manifolds	11
A random cover of a compact hyperbolic surface has relative spectral gap $$\frac{3}{16}-\varepsilon $$	11
Ergodic theory of affine isometric actions on Hilbert spaces	11
Singularity of discrete random matrices	9
Generic scarring for minimal hypersurfaces along stable hypersurfaces	9
Partial associativity and rough approximate groups	8
Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below	8
Examples of Ricci limit spaces with non-integer Hausdorff dimension	7
Ricci Solitons, Conical Singularities, and Nonuniqueness	7
Lamplighters and the bounded cohomology of Thompson’s group	7
A landing theorem for entire functions with bounded post-singular sets	7
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces	7
A comparison of the Almgren–Pitts and the Allen–Cahn min–max theory	7
On the local systolic optimality of Zoll contact forms	6
Distribution-Valued Ricci Bounds for Metric Measure Spaces, Singular Time Changes, and Gradient Estimates for Neumann Heat Flows	6
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces	6

The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions	6
Symplectic cohomology and a conjecture of Viterbo	6
Non-asymptotic Results for Singular Values of Gaussian Matrix Products	6
Building manifolds from quantum codes	5
On the variance of squarefree integers in short intervals and arithmetic progressions	5
A pair correlation problem, and counting lattice points with the zeta function	5
Diameter estimates for long-time solutions of the Kähler–Ricci flow	5
On the random Chowla conjecture	5
Non-displaceable Lagrangian links in four-manifolds	5
Functionals with extrema at reproducing kernels	4
On the Alesker-Verbitsky Conjecture on HyperKähler Manifolds	4
Sparse expanders have negative curvature	4
Existence of Birkhoff sections for Kupka–Smale Reeb flows of closed contact 3-manifolds	4
The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials	4
Random Walks with Bounded First Moment on Finite-volume Spaces	3
Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations	3
A transfer principle: from periods to isoperiodic foliations	3
Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces	3
Ramanujan Complexes and Golden Gates in PU(3)	3
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies	3
The many faces of the stochastic zeta function	3
Monodromy groups of Kloosterman and hypergeometric sheaves	3
On the Almost Reducibility Conjecture	2
Point-like bounding chains in open Gromov–Witten theory	2
Gaussian Gabor frames, Seshadri constants and generalized Buser–Sarnak invariants	2
Threshold for Steiner triple systems	2
Classical Theta Lifts for Higher Metaplectic Covering Groups	2
Idempotent Fourier multipliers acting contractively on $$H^p$$ spaces	2
On arithmetic sums of Ahlfors-regular sets	2
Meromorphic $$L^2$$ functions on flat surfaces	2
A nonabelian Brunn–Minkowski inequality	2
Analytic Langlands correspondence for $$PGL_2$$ on $${\mathbb {P}}^1$$ with parabolic structures over local fields	2
A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton	2
Exact dimension of Furstenberg measures	2
Quantitative weak mixing for interval exchange transformations	2
GOE statistics on the moduli space of surfaces of large genus	2
Joints of Varieties	2
Augmentations, Fillings, and Clusters	2
Dimers, networks, and cluster integrable systems	2
Measure rigidity of Anosov flows via the factorization method	2
The exact value of Hausdorff dimension of escaping sets of class $${\mathcal {B}}$$ meromorphic functions	2
Steenrod Pseudocycles, Lifted Cobordisms, and Solomon’s Relations for Welschinger Invariants	1
On the Dimension of Exceptional Parameters for Nonlinear Projections, and the Discretized Elekes-Rónyai Theorem	1
Isometry group of Lorentz manifolds: A coarse perspective	1
Sweepouts of closed Riemannian manifolds	1
CAT(0) Spaces of Higher Rank I	1
Additive problems with almost prime squares	1
Mean Convex Smoothing of Mean Convex Cones	1
The Parabolic U(1)-Higgs Equations and Codimension-Two Mean Curvature Flows	1
Equilibrium States of Endomorphisms of $\mathbb{P}^{k}$: Spectral Stability and Limit Theorems	1

A Metric Fixed Point Theorem and Some of Its Applications	1
Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves	1
Poincaré profiles of Lie groups and a coarse geometric dichotomy	1
$$\mathbf {Bad}\left( {\mathbf {w}}\right) $$ is hyperplane absolute winning	1
The generalized doubling method: local theory	1
Concentration of invariant means and dynamics of chain stabilizers in continuous geometries	1
Arboreal structures on groups and the associated boundaries	1
Two Rigidity Results for Stable Minimal Hypersurfaces	1
Odd Distances in Colourings of the Plane	1
An exotic II$$_1$$ factor without property Gamma	1
The metric measure boundary of spaces with Ricci curvature bounded below	1
Symplectic mapping class groups of K3 surfaces and Seiberg–Witten invariants	1
The Patterson–Sullivan Reconstruction of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces	1
Commensurations of Aut(FN) and Its Torelli Subgroup	1
Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type	1