OOIR: Observatory of International Research

Papers

(The TQCC of Inventiones Mathematicae is 7. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	53
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	44
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	43
Cyclic quadrilaterals and smooth Jordan curves	35
On the distribution of the Hodge locus	32
Percolation transition for random forests in $d\geqslant 3$	31
Minimal slope conjecture of F-isocrystals	31
Liouville property for groups and conformal dimension	31
Correction to: Multiple zeta values in deformation quantization	30
The geometry of permutation modules	28
Vanishing viscosity limit for axisymmetric vortex rings	28
Tautological classes of matroids	28
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	24
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	22
A $p$-adic Simpson correspondence for smooth proper rigid varieties	21
Poisson spacing statistics for lattice points on circles	21
Scalar curvature rigidity of convex polytopes	20
The linearized cubic NLS has no embedded eigenvalue	20
Higher Hida theory for Siegel modular forms	20
The critical 2d Stochastic Heat Flow	20
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	20
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	20
The connected components of affine Deligne–Lusztig varieties	19
Intermediate complex structure limit for Calabi-Yau metrics	18
Étale cohomology of algebraic varieties over Stein compacta	18

Lipschitz inextendibility of weak null singularities from curvature blow-up	17
The Landis conjecture on exponential decay	17
The time-like minimal surface equation in Minkowski space: low regularity solutions	17
Seshadri stratifications and standard monomial theory	16
A Lagrangian filling for every cluster seed	16
Monoidal categorification and quantum affine algebras II	16
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	15
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	15
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups	15
Unbounded Hankel operators and the flow of the cubic Szegő equation	14
Mean curvature flow from conical singularities	14
Hausdorff dimension of the Apollonian gasket	13
Full description of Benjamin-Feir instability of stokes waves in deep water	13
A predicted distribution for Galois groups of maximal unramified extensions	13
Murmurations	13
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	13
o-minimal GAGA and a conjecture of Griffiths	12
Global axisymmetric Euler flows with rotation	12
Isotropic and numerical equivalence for Chow groups and Morava K-theories	12
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
Scalable spaces	12
Topological complexity of arithmetic locally symmetric spaces	11
Generalizing Lusztig’s total positivity	11
Regularity for graphs with bounded anisotropic mean curvature	11
Canonical bases for Coulomb branches of 4d $\mathcal{N} =2$ gauge theories	11
A phantom on a rational surface	11
Unbounded field operators in categorical extensions of conformal nets	11
Local models for Galois deformation rings and applications	11
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
Algebraicity of higher Green functions at a CM point	10
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
Uniqueness of bound states to $\Delta u-u+\|u\|^{p-1}u= 0$ in $\mathbb{R}^{n} $, $n\ge 3$	10
Explicit asymptotic expansions in $p$-adic harmonic analysis II	10
Full derivation of the wave kinetic equation	9
On the monotonicity of the Fisher information for the Boltzmann equation	9
Twisting in Hamiltonian flows and perfect fluids	9
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	9
Every diffeomorphism is a total renormalization of a close to identity map	9
Generic measure preserving transformations and the closed groups they generate	9
Moments of quadratic twists of modular $L$-functions	8
Group theoretical characterizations of rationality	8
Characterising rectifiable metric spaces using tangent spaces	8
Group actions on contractible 2-complexes II	8
Special cubulation of strict hyperbolization	8
Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ to $${\mathbb {R}}^n$$	8
A diagram-free approach to the stochastic estimates in regularity structures	8
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	7
Persistence of heterodimensional cycles	7
Localization crossover for the continuous Anderson Hamiltonian in 1-d	7
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	7

Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Joint ergodicity for commuting transformations and applications to polynomial sequences	7
Fano 4-folds with $b_{2}>12$ are products of surfaces	7
Zeta morphisms for rank two universal deformations	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Pólya’s conjecture for Euclidean balls	7
Schinzel Hypothesis on average and rational points	7
A priori bounds and degeneration of Herman rings with bounded type rotation number	7
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	7