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 2022-05-01 to 2026-05-01.)

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	53
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	44
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	43
Cyclic quadrilaterals and smooth Jordan curves	35
On the distribution of the Hodge locus	32
Minimal slope conjecture of F-isocrystals	31
Liouville property for groups and conformal dimension	31
Percolation transition for random forests in $d\geqslant 3$	31
Correction to: Multiple zeta values in deformation quantization	30
Tautological classes of matroids	28
The geometry of permutation modules	28
Vanishing viscosity limit for axisymmetric vortex rings	28
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	24
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
A $p$-adic Simpson correspondence for smooth proper rigid varieties	21
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	20
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	20
Scalar curvature rigidity of convex polytopes	20
The linearized cubic NLS has no embedded eigenvalue	20
Higher Hida theory for Siegel modular forms	20
The critical 2d Stochastic Heat Flow	20
The connected components of affine Deligne–Lusztig varieties	19
Étale cohomology of algebraic varieties over Stein compacta	18
Intermediate complex structure limit for Calabi-Yau metrics	18

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

The $(2,1)$-cable of the figure-eight knot is not smoothly slice	7
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	7
Persistence of heterodimensional cycles	7
Localization crossover for the continuous Anderson Hamiltonian in 1-d	7
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	7
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Joint ergodicity for commuting transformations and applications to polynomial sequences	7
Fano 4-folds with $b_{2}>12$ are products of surfaces	7
Zeta morphisms for rank two universal deformations	7
A $p$-adic arithmetic inner product formula	6
Typical periodic optimization for dynamical systems: symbolic dynamics	6
The Tits alternative for the automorphism group of a free product	6
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	6
Stationary measures for integrable polymers on a strip	6
Regularity of singular set in optimal transportation	6
Coherent Springer theory and the categorical Deligne-Langlands correspondence	6
Uniqueness of critical points of the second Neumann eigenfunctions on triangles	6
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	6
Orbit equivalences of pseudo-Anosov flows	6
On the largest product-free subsets of the alternating groups	6
Morse inequalities for ordered eigenvalues of generic self-adjoint families	6
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	6
On the cost of the bubble set for random interlacements	6
Derivation of Kubo’s formula for disordered systems at zero temperature	6
Strict comparison in reduced group $C^{*}$-algebras	6
Logarithmic double ramification cycles	6
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	6
Relative Langlands duality for some strongly tempered spherical varieties	5
Hyperbolic 5-manifolds that fiber over $$S^1$$	5
Character levels and character bounds for finite classical groups	5
Potential automorphy for $$GL_n$$	5
Sharp nonuniqueness for the Navier–Stokes equations	5
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	5
Wilson spaces, snaith constructions, and elliptic orientations	5
Rotation-invariant web bases from hourglass plabic graphs	5
Szegő condition, scattering, and vibration of Krein strings	5
Coulomb gas and the Grunsky operator on a Jordan domain with corners	5
Weyl remainders: an application of geodesic beams	5
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	5
Non-reductive geometric invariant theory and hyperbolicity	5
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	4
Renormalization group and elliptic homogenization in high contrast	4
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	4
Exotic Dehn twists and homotopy coherent group actions	4
A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$	4
Kähler compactification of $\mathbb{C}^{n}$ and Reeb dynamics	4
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	4
A Chabauty–Coleman bound for surfaces	4
Howe duality and dichotomy for exceptional theta correspondences	4
The sup-norm problem for newforms of large level on $\operatorname{PGL}(n)$	4
A dichotomy for Hörmander-type oscillatory integral operators	4
Stability under scaling in the local phases of multiplicative functions	4
Quantum difference equation for Nakajima varieties	4
Gelfand–Kirillov dimension and mod $p$ cohomology for $\operatorname{GL}_{2}$	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
The finiteness conjecture for skein modules	4
Critical exponents for a percolation model on transient graphs	4
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	4
Cwikel’s bound reloaded	4
Reductive quotients of klt singularities	4
Correction to:Gabor frames for rational functions	4
The Adams differentials on the classes $h_{j}^{3}$	4
Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry	3
The Galois action on symplectic K-theory	3
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	3
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	3
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	3
On the birational section conjecture with strong birationality assumptions	3
Irreducibility of random polynomials: general measures	3
The Faber–Krahn inequality for the short-time Fourier transform	3
A proof of the instability of AdS for the Einstein-massless Vlasov system	3
The density finite sums theorem	3
Algebraic relations among special gamma values and the Chowla–Selberg phenomenon over function fields	3
Higher Siegel–Weil formula for unitary groups: the non-singular terms	3
Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture	3
Voronoi conjecture for five-dimensional parallelohedra	3
SRB measures for $C^{\infty }$ surface diffeomorphisms	3