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 2022-08-01 to 2026-08-01.)

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	55
Global smooth rigidity for toral automorphisms	50
Cyclic quadrilaterals and smooth Jordan curves	39
Vanishing viscosity limit for axisymmetric vortex rings	39
All triangulations have a common stellar subdivision	37
Minimal slope conjecture of F-isocrystals	36
Liouville property for groups and conformal dimension	36
On the distribution of the Hodge locus	35
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	34
Percolation transition for random forests in $d\geqslant 3$	32
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	25
Tautological classes of matroids	24
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	23
Diffeomorphisms of discs and the second Weiss derivative of BTop(–)	23
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	23
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	23
Poisson spacing statistics for lattice points on circles	23
The geometry of permutation modules	23
Scalar curvature rigidity of convex polytopes	22
Higher Hida theory for Siegel modular forms	21
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	21
The linearized cubic NLS has no embedded eigenvalue	20
The connected components of affine Deligne–Lusztig varieties	20
The critical 2d Stochastic Heat Flow	19
Intermediate complex structure limit for Calabi-Yau metrics	18

A $p$-adic Simpson correspondence for smooth proper rigid varieties	18
The time-like minimal surface equation in Minkowski space: low regularity solutions	18
Étale cohomology of algebraic varieties over Stein compacta	18
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups	17
Seshadri stratifications and standard monomial theory	15
A Lagrangian filling for every cluster seed	14
Lipschitz inextendibility of weak null singularities from curvature blow-up	14
Monoidal categorification and quantum affine algebras II	14
Murmurations	13
The Landis conjecture on exponential decay	13
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	13
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	13
Unbounded Hankel operators and the flow of the cubic Szegő equation	12
A predicted distribution for Galois groups of maximal unramified extensions	12
Heat equation from a deterministic dynamics	12
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
Hausdorff dimension of the Apollonian gasket	12
Mean curvature flow from conical singularities	12
Global axisymmetric Euler flows with rotation	11
Isotropic and numerical equivalence for Chow groups and Morava K-theories	11
A phantom on a rational surface	11
Full description of Benjamin-Feir instability of stokes waves in deep water	11
Algebraicity of higher Green functions at a CM point	11
Canonical bases for Coulomb branches of 4d $\mathcal{N} =2$ gauge theories	11
Projections of self-affine fractals	11
Topological complexity of arithmetic locally symmetric spaces	11
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
Unbounded field operators in categorical extensions of conformal nets	10
Geometric Eisenstein series I: finiteness theorems	10
Explicit asymptotic expansions in $p$-adic harmonic analysis II	10
Generalizing Lusztig’s total positivity	9
Local models for Galois deformation rings and applications	9
On the monotonicity of the Fisher information for the Boltzmann equation	9
o-minimal GAGA and a conjecture of Griffiths	9
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	9
Uniqueness of bound states to $\Delta u-u+\|u\|^{p-1}u= 0$ in $\mathbb{R}^{n} $, $n\ge 3$	9
Generic measure preserving transformations and the closed groups they generate	9
Special cubulation of strict hyperbolization	9
Moments of quadratic twists of modular $L$-functions	8
Twisting in Hamiltonian flows and perfect fluids	8
Group actions on contractible 2-complexes II	8
Full derivation of the wave kinetic equation	8
Every diffeomorphism is a total renormalization of a close to identity map	8
Group theoretical characterizations of rationality	8
The quantum connection, Fourier-Laplace transform, and families of $A_{\infty }$-categories	8
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Zeta morphisms for rank two universal deformations	7
A diagram-free approach to the stochastic estimates in regularity structures	7

Localization crossover for the continuous Anderson Hamiltonian in 1-d	7
Schinzel Hypothesis on average and rational points	7
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Joint ergodicity for commuting transformations and applications to polynomial sequences	7
Persistence of heterodimensional cycles	7
Brauer classes not split by genus one curves	7
Pólya’s conjecture for Euclidean balls	7