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 2022-06-01 to 2026-06-01.)

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	46
Global smooth rigidity for toral automorphisms	45
The geometry of permutation modules	35
Vanishing viscosity limit for axisymmetric vortex rings	33
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	32
All triangulations have a common stellar subdivision	31
Cyclic quadrilaterals and smooth Jordan curves	31
Tautological classes of matroids	30
Minimal slope conjecture of F-isocrystals	29
Liouville property for groups and conformal dimension	29
On the distribution of the Hodge locus	25
Percolation transition for random forests in $d\geqslant 3$	22
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	22
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	22
Poisson spacing statistics for lattice points on circles	21
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	21
The critical 2d Stochastic Heat Flow	20
Higher Hida theory for Siegel modular forms	20
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	20
Scalar curvature rigidity of convex polytopes	20
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	19
The linearized cubic NLS has no embedded eigenvalue	18
Étale cohomology of algebraic varieties over Stein compacta	18
A $p$-adic Simpson correspondence for smooth proper rigid varieties	18
The connected components of affine Deligne–Lusztig varieties	18

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

Schinzel Hypothesis on average and rational points	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Group theoretical characterizations of rationality	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Zeta morphisms for rank two universal deformations	7
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	7
Persistence of heterodimensional cycles	7
Moments of quadratic twists of modular $L$-functions	7
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	7
Fano 4-folds with $b_{2}>12$ are products of surfaces	7
Typical periodic optimization for dynamical systems: symbolic dynamics	7