OOIR: Observatory of International Research

Papers

(The median citation count of Inventiones Mathematicae is 3. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Random tensors, propagation of randomness, and nonlinear dispersive equations	37
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	35
Percolation transition for random forests in $d\geqslant 3$	33
Cyclic quadrilaterals and smooth Jordan curves	33
Correction to: Multiple zeta values in deformation quantization	29
Vanishing viscosity limit for axisymmetric vortex rings	27
Tautological classes of matroids	27
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	26
Minimal slope conjecture of F-isocrystals	25
The geometry of permutation modules	24
Liouville property for groups and conformal dimension	23
On the distribution of the Hodge locus	23
Scalar curvature rigidity of convex polytopes	22
Poisson spacing statistics for lattice points on circles	22
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	21
A $p$-adic Simpson correspondence for smooth proper rigid varieties	20
The critical 2d Stochastic Heat Flow	19
On contact type hypersurfaces in 4-space	18
Étale cohomology of algebraic varieties over Stein compacta	18
The Landis conjecture on exponential decay	18
A Lagrangian filling for every cluster seed	18
Intermediate complex structure limit for Calabi-Yau metrics	17
3D convex contact forms and the Ruelle invariant	16
Seshadri stratifications and standard monomial theory	16
Monoidal categorification and quantum affine algebras II	16

The time-like minimal surface equation in Minkowski space: low regularity solutions	16
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	14
A homological approach to pseudoisotopy theory. I	14
Mean curvature flow from conical singularities	14
Murmurations	14
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	14
Unbounded Hankel operators and the flow of the cubic Szegő equation	13
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts	13
Hausdorff dimension of the Apollonian gasket	12
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	12
Global axisymmetric Euler flows with rotation	12
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	12
Chaos in the incompressible Euler equation on manifolds of high dimension	12
Scalable spaces	11
Full description of Benjamin-Feir instability of stokes waves in deep water	11
Algebraicity of higher Green functions at a CM point	11
A predicted distribution for Galois groups of maximal unramified extensions	11
A phantom on a rational surface	11
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	11
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	11
Generalizing Lusztig’s total positivity	10
Generic measure preserving transformations and the closed groups they generate	10
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	10
Isotropic and numerical equivalence for Chow groups and Morava K-theories	10
o-minimal GAGA and a conjecture of Griffiths	10
Regularity for graphs with bounded anisotropic mean curvature	10
A class formula for admissible Anderson modules	10
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	10
Random integral matrices: universality of surjectivity and the cokernel	10
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
Correction to: Representation growth and rational singularities of the moduli space of local systems	10
Local models for Galois deformation rings and applications	10
Every diffeomorphism is a total renormalization of a close to identity map	9
Full derivation of the wave kinetic equation	9
Localization crossover for the continuous Anderson Hamiltonian in 1-d	9
Billiards, heights, and the arithmetic of non-arithmetic groups	9
Twisting in Hamiltonian flows and perfect fluids	9
Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ to $${\mathbb {R}}^n$$	9
Special cubulation of strict hyperbolization	9
Joint ergodicity for commuting transformations and applications to polynomial sequences	9
Moments of quadratic twists of modular $L$-functions	9
Group theoretical characterizations of rationality	8
Vasconcelos’ conjecture on the conormal module	8
Characterising rectifiable metric spaces using tangent spaces	8
A diagram-free approach to the stochastic estimates in regularity structures	8
Ancient asymptotically cylindrical flows and applications	8
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	8
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Bessel F-isocrystals for reductive groups	7

On the cost of the bubble set for random interlacements	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Coherent Springer theory and the categorical Deligne-Langlands correspondence	7
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Persistence of heterodimensional cycles	7
Correction to: A polyhedron comparison theorem for 3-manifolds with positive scalar curvature	7
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	7
Pólya’s conjecture for Euclidean balls	7
The Tits alternative for the automorphism group of a free product	6
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	6
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	6
Schinzel Hypothesis on average and rational points	6
N-point spherical functions and asymptotic boundary KZB equations	6
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	6
Fano 4-folds with $b_{2}>12$ are products of surfaces	6
Homotopy invariants for "Equation missing"via Koszul duality	6
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds	6
A $p$-adic arithmetic inner product formula	6
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	6
Zeta morphisms for rank two universal deformations	6
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	6
Derivation of Kubo’s formula for disordered systems at zero temperature	6
Orbit equivalences of pseudo-Anosov flows	6
Ambidexterity in chromatic homotopy theory	6
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	5
On the largest product-free subsets of the alternating groups	5
Logarithmic double ramification cycles	5
Stationary measures for integrable polymers on a strip	5
Sharp nonuniqueness for the Navier–Stokes equations	5
Distribution of values of quadratic forms at integral points	5
Morse inequalities for ordered eigenvalues of generic self-adjoint families	5
Hyperbolic 5-manifolds that fiber over $$S^1$$	5
Potential automorphy for $$GL_n$$	4
Critical exponents for a percolation model on transient graphs	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
Weyl remainders: an application of geodesic beams	4
Wilson spaces, snaith constructions, and elliptic orientations	4
Non-reductive geometric invariant theory and hyperbolicity	4
Correction to: Modularity lifting beyond the Taylor–Wiles method	4
The finiteness conjecture for skein modules	4
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	4
Character levels and character bounds for finite classical groups	4
On the Erdős covering problem: the density of the uncovered set	4
Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3	4
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	4
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	4
Howe duality and dichotomy for exceptional theta correspondences	4
Regularity of singular set in optimal transportation	4
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	4
Szegő condition, scattering, and vibration of Krein strings	4
Cwikel’s bound reloaded	3
Quantum difference equation for Nakajima varieties	3
The Adams differentials on the classes $h_{j}^{3}$	3
A dichotomy for Hörmander-type oscillatory integral operators	3
Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture	3
Stability under scaling in the local phases of multiplicative functions	3
The Galois action on symplectic K-theory	3
Higher Siegel–Weil formula for unitary groups: the non-singular terms	3
Gelfand–Kirillov dimension and mod $p$ cohomology for $\operatorname{GL}_{2}$	3
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	3
A Chabauty–Coleman bound for surfaces	3
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	3
On the birational section conjecture with strong birationality assumptions	3
Irreducibility of random polynomials: general measures	3
G-uniform stability and Kähler–Einstein metrics on Fano varieties	3
Solvability of the $\mathrm{L}^{p}$ Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph	3
A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$	3
Correction to:Gabor frames for rational functions	3
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	3
Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry	3
A proof of the Donaldson–Thomas crepant resolution conjecture	3
Reductive quotients of klt singularities	3