Inventiones Mathematicae

Article	Citations
Random tensors, propagation of randomness, and nonlinear dispersive equations	39
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	35
Percolation transition for random forests in $d\geqslant 3$	34
Cyclic quadrilaterals and smooth Jordan curves	30
Correction to: Multiple zeta values in deformation quantization	29
Tautological classes of matroids	28
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	28
Minimal slope conjecture of F-isocrystals	26
The geometry of permutation modules	25
Vanishing viscosity limit for axisymmetric vortex rings	25
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	24
Liouville property for groups and conformal dimension	24
Scalar curvature rigidity of convex polytopes	24
On the distribution of the Hodge locus	24
Poisson spacing statistics for lattice points on circles	24
The critical 2d Stochastic Heat Flow	20
A Lagrangian filling for every cluster seed	19
Monoidal categorification and quantum affine algebras II	19
A $p$-adic Simpson correspondence for smooth proper rigid varieties	19
The Landis conjecture on exponential decay	18
On contact type hypersurfaces in 4-space	18
Intermediate complex structure limit for Calabi-Yau metrics	16
The time-like minimal surface equation in Minkowski space: low regularity solutions	16
Étale cohomology of algebraic varieties over Stein compacta	16
Seshadri stratifications and standard monomial theory	16

Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	15
3D convex contact forms and the Ruelle invariant	15
Mean curvature flow from conical singularities	14
A homological approach to pseudoisotopy theory. I	14
Unbounded Hankel operators and the flow of the cubic Szegő equation	13
Hausdorff dimension of the Apollonian gasket	13
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	13
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts	13
Murmurations	13
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
A predicted distribution for Galois groups of maximal unramified extensions	12
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	12
Full description of Benjamin-Feir instability of stokes waves in deep water	12
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	12
Global axisymmetric Euler flows with rotation	12
Chaos in the incompressible Euler equation on manifolds of high dimension	12
Scalable spaces	11
Algebraicity of higher Green functions at a CM point	11
A phantom on a rational surface	11
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	11
Every diffeomorphism is a total renormalization of a close to identity map	10
Correction to: Representation growth and rational singularities of the moduli space of local systems	10
Special cubulation of strict hyperbolization	10
Regularity for graphs with bounded anisotropic mean curvature	10
Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	10
Random integral matrices: universality of surjectivity and the cokernel	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
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
Generalizing Lusztig’s total positivity	10
o-minimal GAGA and a conjecture of Griffiths	10
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
A class formula for admissible Anderson modules	10
Billiards, heights, and the arithmetic of non-arithmetic groups	10
Isotropic and numerical equivalence for Chow groups and Morava K-theories	10
Local models for Galois deformation rings and applications	10
Moments of quadratic twists of modular $L$-functions	9
A diagram-free approach to the stochastic estimates in regularity structures	9
Full derivation of the wave kinetic equation	9
Persistence of heterodimensional cycles	9
Twisting in Hamiltonian flows and perfect fluids	9
Localization crossover for the continuous Anderson Hamiltonian in 1-d	8
Group theoretical characterizations of rationality	8
Ancient asymptotically cylindrical flows and applications	8
Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ to $${\mathbb {R}}^n$$	8
Group actions on contractible 2-complexes II	8
Characterising rectifiable metric spaces using tangent spaces	8
Joint ergodicity for commuting transformations and applications to polynomial sequences	8
Bessel F-isocrystals for reductive groups	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7

The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	7
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Pólya’s conjecture for Euclidean balls	7
On the cost of the bubble set for random interlacements	7
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	7
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	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
Zeta morphisms for rank two universal deformations	7
Homotopy invariants for "Equation missing"via Koszul duality	7
Schinzel Hypothesis on average and rational points	7
Fano 4-folds with $b_{2}>12$ are products of surfaces	6
N-point spherical functions and asymptotic boundary KZB equations	6
Coherent Springer theory and the categorical Deligne-Langlands correspondence	6
Derivation of Kubo’s formula for disordered systems at zero temperature	6
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	6
A priori bounds and degeneration of Herman rings with bounded type rotation number	6
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	6
Stationary measures for integrable polymers on a strip	6
A $p$-adic arithmetic inner product formula	5
The Tits alternative for the automorphism group of a free product	5
Distribution of values of quadratic forms at integral points	5
Strict comparison in reduced group $C^{*}$-algebras	5
Orbit equivalences of pseudo-Anosov flows	5
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	5
On the largest product-free subsets of the alternating groups	5
Ambidexterity in chromatic homotopy theory	5
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	5
Morse inequalities for ordered eigenvalues of generic self-adjoint families	5
Logarithmic double ramification cycles	4
Hyperbolic 5-manifolds that fiber over $$S^1$$	4
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	4
Sharp nonuniqueness for the Navier–Stokes equations	4
Correction to: Modularity lifting beyond the Taylor–Wiles method	4
The finiteness conjecture for skein modules	4
Correction to:Gabor frames for rational functions	4
The Adams differentials on the classes $h_{j}^{3}$	4
Non-reductive geometric invariant theory and hyperbolicity	4
Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3	4
Regularity of singular set in optimal transportation	4
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	4
Character levels and character bounds for finite classical groups	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
A dichotomy for Hörmander-type oscillatory integral operators	4
Potential automorphy for $$GL_n$$	4
Szegő condition, scattering, and vibration of Krein strings	4
Wilson spaces, snaith constructions, and elliptic orientations	4
On the Erdős covering problem: the density of the uncovered set	4
Weyl remainders: an application of geodesic beams	4
Critical exponents for a percolation model on transient graphs	4
Howe duality and dichotomy for exceptional theta correspondences	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
A Chabauty–Coleman bound for surfaces	4
Cwikel’s bound reloaded	3
Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture	3
The density finite sums theorem	3
On the birational section conjecture with strong birationality assumptions	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
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
G-uniform stability and Kähler–Einstein metrics on Fano varieties	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
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	3
Irreducibility of random polynomials: general measures	3
Stability under scaling in the local phases of multiplicative functions	3
Reductive quotients of klt singularities	3
Renormalization group and elliptic homogenization in high contrast	3
Quantum difference equation for Nakajima varieties	3
The Galois action on symplectic K-theory	3
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	2
A proof of the Donaldson–Thomas crepant resolution conjecture	2
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	2
Random walks, spectral gaps, and Khintchine’s theorem on fractals	2
When any three solutions are independent	2
Squarefree values of polynomial discriminants I	2
Derived categories of Fano threefolds and degenerations	2

Time quasi-periodic vortex patches of Euler equation in the plane	2
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices	2
Voronoi conjecture for five-dimensional parallelohedra	2
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	2
The Smale conjecture and min-max theory	2
Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”	2
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains	2
Lower bounds for incidences	2
A new proof of Chen’s theorem for Markoff graphs	2
Cohomological Milnor formula and Saito’s conjecture on characteristic classes	2
The maximal subgroups of the exceptional groups $F_{4}(q)$, $E_{6}(q)$ and $^{2}\!E_{6}(q)$ and related almost simple groups	2
The Faber–Krahn inequality for the short-time Fourier transform	2
A proof of the instability of AdS for the Einstein-massless Vlasov system	2
Non-classifiability of ergodic flows up to time change	2
Extensions of characters in type D and the inductive McKay condition, II	2
The Onsager conjecture in 2D: a Newton-Nash iteration	2
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation	2
CAT(0) spaces of higher rank II	2
SRB measures for $C^{\infty }$ surface diffeomorphisms	2
A proof of the Kudla–Rapoport conjecture for Krämer models	2
Demazure crystals and the Schur positivity of Catalan functions	2
Large prime gaps and probabilistic models	2