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 2021-06-01 to 2025-06-01.)

Article	Citations
Random tensors, propagation of randomness, and nonlinear dispersive equations	72
Babai’s conjecture for high-rank classical groups with random generators	30
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	29
Percolation transition for random forests in $d\geqslant 3$	28
Correction to: Multiple zeta values in deformation quantization	28
Cyclic quadrilaterals and smooth Jordan curves	28
On the distribution of the Hodge locus	25
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	22
Tautological classes of matroids	22
Minimal slope conjecture of F-isocrystals	21
Vanishing viscosity limit for axisymmetric vortex rings	21
Poisson spacing statistics for lattice points on circles	20
The local fundamental group of a Kawamata log terminal singularity is finite	20
The critical 2d Stochastic Heat Flow	19
Scalar curvature rigidity of convex polytopes	19
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	19
The time-like minimal surface equation in Minkowski space: low regularity solutions	18
A Lagrangian filling for every cluster seed	18
A $p$-adic Simpson correspondence for smooth proper rigid varieties	18
3D convex contact forms and the Ruelle invariant	17
On contact type hypersurfaces in 4-space	17
Monoidal categorification and quantum affine algebras II	17
Étale cohomology of algebraic varieties over Stein compacta	16
Intermediate complex structure limit for Calabi-Yau metrics	15
Mean curvature flow from conical singularities	14

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

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