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 2021-08-01 to 2025-08-01.)

Article	Citations
Random tensors, propagation of randomness, and nonlinear dispersive equations	76
Babai’s conjecture for high-rank classical groups with random generators	34
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	33
Cyclic quadrilaterals and smooth Jordan curves	32
Percolation transition for random forests in $d\geqslant 3$	32
Correction to: Multiple zeta values in deformation quantization	28
Vanishing viscosity limit for axisymmetric vortex rings	26
Tautological classes of matroids	25
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	24
Poisson spacing statistics for lattice points on circles	23
On the distribution of the Hodge locus	23
Minimal slope conjecture of F-isocrystals	23
Scalar curvature rigidity of convex polytopes	22
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	21
The local fundamental group of a Kawamata log terminal singularity is finite	21
The critical 2d Stochastic Heat Flow	21
A $p$-adic Simpson correspondence for smooth proper rigid varieties	19
On contact type hypersurfaces in 4-space	18
A Lagrangian filling for every cluster seed	18
3D convex contact forms and the Ruelle invariant	18
Étale cohomology of algebraic varieties over Stein compacta	17
The Landis conjecture on exponential decay	17
Intermediate complex structure limit for Calabi-Yau metrics	16
The time-like minimal surface equation in Minkowski space: low regularity solutions	16
Seshadri stratifications and standard monomial theory	16

A homological approach to pseudoisotopy theory. I	14
Monoidal categorification and quantum affine algebras II	14
Murmurations	14
Unbounded Hankel operators and the flow of the cubic Szegő equation	14
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	14
Mean curvature flow from conical singularities	14
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts	14
Hausdorff dimension of the Apollonian gasket	13
A predicted distribution for Galois groups of maximal unramified extensions	12
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	12
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	12
Global axisymmetric Euler flows with rotation	12
Chaos in the incompressible Euler equation on manifolds of high dimension	12
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
Algebraicity of higher Green functions at a CM point	11
Full description of Benjamin-Feir instability of stokes waves in deep water	11
Generalizing Lusztig’s total positivity	11
A topological proof of the Shapiro–Shapiro conjecture	11
Scalable spaces	11
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	11
Geometry of 1-codimensional measures in Heisenberg groups	10
Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	10
Isotropic and numerical equivalence for Chow groups and Morava K-theories	10
Regularity for graphs with bounded anisotropic mean curvature	10
Random integral matrices: universality of surjectivity and the cokernel	10
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
A phantom on a rational surface	10
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
Local models for Galois deformation rings and applications	10
Every diffeomorphism is a total renormalization of a close to identity map	9
Twisting in Hamiltonian flows and perfect fluids	9
Mod p and torsion homology growth in nonpositive curvature	9
A class formula for admissible Anderson modules	9
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	9
Special cubulation of strict hyperbolization	9
o-minimal GAGA and a conjecture of Griffiths	9
Correction to: Representation growth and rational singularities of the moduli space of local systems	9
Full derivation of the wave kinetic equation	9
Billiards, heights, and the arithmetic of non-arithmetic groups	9
Generic measure preserving transformations and the closed groups they generate	9
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	8
Group theoretical characterizations of rationality	8
Joint ergodicity for commuting transformations and applications to polynomial sequences	8
Vasconcelos’ conjecture on the conormal module	8
Moments of quadratic twists of modular $L$-functions	8
Persistence of heterodimensional cycles	8
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	8
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7

Ancient asymptotically cylindrical flows and applications	7
Correction to: A polyhedron comparison theorem for 3-manifolds with positive scalar curvature	7
A diagram-free approach to the stochastic estimates in regularity structures	7
Bessel F-isocrystals for reductive groups	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Characterising rectifiable metric spaces using tangent spaces	7
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	6
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	6
Coherent Springer theory and the categorical Deligne-Langlands correspondence	6
Schinzel Hypothesis on average and rational points	6
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	6
Homotopy invariants for "Equation missing"via Koszul duality	6
The Tits alternative for the automorphism group of a free product	6
Ambidexterity in chromatic homotopy theory	6
Derivation of Kubo’s formula for disordered systems at zero temperature	6
On the cost of the bubble set for random interlacements	6
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	6
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	6
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	6
Stationary measures for integrable polymers on a strip	6
A $p$-adic arithmetic inner product formula	6
Orbit equivalences of pseudo-Anosov flows	6
Pólya’s conjecture for Euclidean balls	6
Fano 4-folds with $b_{2}>12$ are products of surfaces	6
Zeta morphisms for rank two universal deformations	6
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	6
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds	6
On the largest product-free subsets of the alternating groups	5
On the Erdős covering problem: the density of the uncovered set	5
Logarithmic double ramification cycles	5
N-point spherical functions and asymptotic boundary KZB equations	5
Morse inequalities for ordered eigenvalues of generic self-adjoint families	5
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	5
Hyperbolic 5-manifolds that fiber over $$S^1$$	5
Distribution of values of quadratic forms at integral points	5
Weyl remainders: an application of geodesic beams	5
Sharp nonuniqueness for the Navier–Stokes equations	5
Correction to: Modularity lifting beyond the Taylor–Wiles method	4
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
Regularity of singular set in optimal transportation	4
Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3	4
Non-reductive geometric invariant theory and hyperbolicity	4
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	4
Howe duality and dichotomy for exceptional theta correspondences	4
Szegő condition, scattering, and vibration of Krein strings	4
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	4
Potential automorphy for $$GL_n$$	4
The finiteness conjecture for skein modules	4
Critical exponents for a percolation model on transient graphs	4
Wilson spaces, snaith constructions, and elliptic orientations	4
Character levels and character bounds for finite classical groups	4
A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$	3
Quantum difference equation for Nakajima varieties	3
A dichotomy for Hörmander-type oscillatory integral operators	3
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	3
Higher Siegel–Weil formula for unitary groups: the non-singular terms	3
A proof of the instability of AdS for the Einstein-massless Vlasov system	3
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	3
G-uniform stability and Kähler–Einstein metrics on Fano varieties	3
Cwikel’s bound reloaded	3
Gelfand–Kirillov dimension and mod $p$ cohomology for $\operatorname{GL}_{2}$	3
The Adams differentials on the classes $h_{j}^{3}$	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
Reductive quotients of klt singularities	3
Voronoi conjecture for five-dimensional parallelohedra	3
The Galois action on symplectic K-theory	3
Stability under scaling in the local phases of multiplicative functions	3
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	3
Correction to:Gabor frames for rational functions	3
A Chabauty–Coleman bound for surfaces	3
On the birational section conjecture with strong birationality assumptions	3
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	3
A proof of the Donaldson–Thomas crepant resolution conjecture	3
Irreducibility of random polynomials: general measures	3
Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry	3