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 2020-03-01 to 2024-03-01.)

Article	Citations
An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture	37
Symmetry results for critical anisotropic p-Laplacian equations in convex cones	23
Entangleability of cones	19
Anderson localization for multi-frequency quasi-periodic operators on $$\pmb {\mathbb {Z}}^{d}$$	17
Bourgain’s slicing problem and KLS isoperimetry up to polylog	14
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	13
Edge rigidity and universality of random regular graphs of intermediate degree	13
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues	12
Random hyperbolic surfaces of large genus have first eigenvalues greater than $$\frac{3}{16}-\epsilon $$	12
Arithmetic version of Anderson localization via reducibility	12
Small cap decouplings	10
Short geodesic loops and $$L^p$$ norms of eigenfunctions on large genus random surfaces	10
A random cover of a compact hyperbolic surface has relative spectral gap $$\frac{3}{16}-\varepsilon $$	10
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems	10
A proof of Ringel’s conjecture	9
Flows on the $$\mathbf{PGL(V)}$$-Hitchin Component	9
Ergodic theory of affine isometric actions on Hilbert spaces	9
A numerical criterion for generalised Monge-Ampère equations on projective manifolds	9
Very functorial, very fast, and very easy resolution of singularities	9
Uryson Width and Volume	8
A landing theorem for entire functions with bounded post-singular sets	7
Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below	7
Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem	7
Examples of Ricci limit spaces with non-integer Hausdorff dimension	6
A comparison of the Almgren–Pitts and the Allen–Cahn min–max theory	6

Singularity of discrete random matrices	6
The Infinitesimal Characters of Discrete Series for Real Spherical Spaces	6
Partial associativity and rough approximate groups	6
Generic scarring for minimal hypersurfaces along stable hypersurfaces	6
Symplectic cohomology rings of affine varieties in the topological limit	6
Distribution-Valued Ricci Bounds for Metric Measure Spaces, Singular Time Changes, and Gradient Estimates for Neumann Heat Flows	6
On the variance of squarefree integers in short intervals and arithmetic progressions	5
Non-asymptotic Results for Singular Values of Gaussian Matrix Products	5
Lamplighters and the bounded cohomology of Thompson’s group	5
A long neck principle for Riemannian spin manifolds with positive scalar curvature	5
Diameter estimates for long-time solutions of the Kähler–Ricci flow	5
Uniqueness of some Calabi–Yau metrics on $${\mathbf {C}}^{{n}}$$	5
A pair correlation problem, and counting lattice points with the zeta function	4
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces	4
Non-displaceable Lagrangian links in four-manifolds	4
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces	4
Traceless AF embeddings and unsuspended $$\varvec{E}$$-theory	4
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions	4
On the random Chowla conjecture	4
Branching Geodesics in Sub-Riemannian Geometry	4
Regularity of area minimizing currents mod p	4
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards	3
The many faces of the stochastic zeta function	3
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies	3
Symplectic cohomology and a conjecture of Viterbo	3
Properties of High Rank Subvarieties of Affine Spaces	3
Ricci Solitons, Conical Singularities, and Nonuniqueness	3
Functionals with extrema at reproducing kernels	3
On the local systolic optimality of Zoll contact forms	3
Cohomological obstructions to lifting properties for full C$$^*$$-algebras of property (T) groups	3
Building manifolds from quantum codes	3
The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials	3
Quantitative weak mixing for interval exchange transformations	2
Conformal actions of higher rank lattices on compact pseudo-Riemannian manifolds	2
Idempotent Fourier multipliers acting contractively on $$H^p$$ spaces	2
Point-like bounding chains in open Gromov–Witten theory	2
Classical Theta Lifts for Higher Metaplectic Covering Groups	2
Ramanujan Complexes and Golden Gates in PU(3)	2
Sparse expanders have negative curvature	2
Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations	2
Odd Distances in Colourings of the Plane	1
Steenrod Pseudocycles, Lifted Cobordisms, and Solomon’s Relations for Welschinger Invariants	1
Existence of Birkhoff sections for Kupka–Smale Reeb flows of closed contact 3-manifolds	1
Singular Vectors on Fractals and Projections of Self-similar Measures	1
Symplectic mapping class groups of K3 surfaces and Seiberg–Witten invariants	1
Sweepouts of closed Riemannian manifolds	1
Concentration of invariant means and dynamics of chain stabilizers in continuous geometries	1
Gaussian Gabor frames, Seshadri constants and generalized Buser–Sarnak invariants	1
A nonabelian Brunn–Minkowski inequality	1
Random Walks with Bounded First Moment on Finite-volume Spaces	1

Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces	1
Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps	1
The metric measure boundary of spaces with Ricci curvature bounded below	1
Exact dimension of Furstenberg measures	1
Measure rigidity of Anosov flows via the factorization method	1
CAT(0) Spaces of Higher Rank I	1
The generalized doubling method: local theory	1
Joints of Varieties	1
Dimers, networks, and cluster integrable systems	1
Analytic Langlands correspondence for $$PGL_2$$ on $${\mathbb {P}}^1$$ with parabolic structures over local fields	1
On the Dimension of Exceptional Parameters for Nonlinear Projections, and the Discretized Elekes-Rónyai Theorem	1
Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves	1
Isometry group of Lorentz manifolds: A coarse perspective	1
$$\mathbf {Bad}\left( {\mathbf {w}}\right) $$ is hyperplane absolute winning	1
The exact value of Hausdorff dimension of escaping sets of class $${\mathcal {B}}$$ meromorphic functions	1
On arithmetic sums of Ahlfors-regular sets	1
A transfer principle: from periods to isoperiodic foliations	1
Meromorphic $$L^2$$ functions on flat surfaces	1