Inventiones Mathematicae

Article	Citations
Random tensors, propagation of randomness, and nonlinear dispersive equations	40
Percolation transition for random forests in $d\geqslant 3$	35
Cyclic quadrilaterals and smooth Jordan curves	31
Correction to: Multiple zeta values in deformation quantization	30
The geometry of permutation modules	30
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	29
Liouville property for groups and conformal dimension	27
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	26
Minimal slope conjecture of F-isocrystals	26
Vanishing viscosity limit for axisymmetric vortex rings	25
On the distribution of the Hodge locus	25
Poisson spacing statistics for lattice points on circles	24
Tautological classes of matroids	24
Scalar curvature rigidity of convex polytopes	24
A $p$-adic Simpson correspondence for smooth proper rigid varieties	20
Intermediate complex structure limit for Calabi-Yau metrics	20
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	20
The critical 2d Stochastic Heat Flow	20
Monoidal categorification and quantum affine algebras II	19
Seshadri stratifications and standard monomial theory	18
The time-like minimal surface equation in Minkowski space: low regularity solutions	18
A Lagrangian filling for every cluster seed	17
3D convex contact forms and the Ruelle invariant	17
Étale cohomology of algebraic varieties over Stein compacta	16
The Landis conjecture on exponential decay	15

Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	15
On contact type hypersurfaces in 4-space	15
A homological approach to pseudoisotopy theory. I	14
Chaos in the incompressible Euler equation on manifolds of high dimension	13
Mean curvature flow from conical singularities	13
Hausdorff dimension of the Apollonian gasket	13
Unbounded Hankel operators and the flow of the cubic Szegő equation	13
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	13
Murmurations	13
Full description of Benjamin-Feir instability of stokes waves in deep water	12
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	12
Global axisymmetric Euler flows with rotation	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
Isotropic and numerical equivalence for Chow groups and Morava K-theories	11
Local models for Galois deformation rings and applications	11
Generalizing Lusztig’s total positivity	11
A phantom on a rational surface	11
Scalable spaces	11
Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	11
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	11
o-minimal GAGA and a conjecture of Griffiths	11
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	11
Regularity for graphs with bounded anisotropic mean curvature	11
Stochastic quantisation of Yang–Mills–Higgs in 3D	11
Uniqueness of bound states to $\Delta u-u+|u|^{p-1}u= 0$ in $\mathbb{R}^{n} $, $n\ge 3$	11
A class formula for admissible Anderson modules	10
Correction to: Representation growth and rational singularities of the moduli space of local systems	10
Special cubulation of strict hyperbolization	10
Algebraicity of higher Green functions at a CM point	10
Every diffeomorphism is a total renormalization of a close to identity map	10
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	10
Generic measure preserving transformations and the closed groups they generate	10
Billiards, heights, and the arithmetic of non-arithmetic groups	10
Full derivation of the wave kinetic equation	9
Persistence of heterodimensional cycles	9
Twisting in Hamiltonian flows and perfect fluids	9
Moments of quadratic twists of modular $L$-functions	9
On the monotonicity of the Fisher information for the Boltzmann equation	9
A diagram-free approach to the stochastic estimates in regularity structures	8
Joint ergodicity for commuting transformations and applications to polynomial sequences	8
Localization crossover for the continuous Anderson Hamiltonian in 1-d	8
Group theoretical characterizations of rationality	8
Group actions on contractible 2-complexes II	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
Characterising rectifiable metric spaces using tangent spaces	8
$L^{2}$-Cohomology of quasi-fibered boundary metrics	8
On the cost of the bubble set for random interlacements	7

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

When any three solutions are independent	2
The Smale conjecture and min-max theory	2
Time quasi-periodic vortex patches of Euler equation in the plane	2
The Faber–Krahn inequality for the short-time Fourier transform	2
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	2
A proof of the instability of AdS for the Einstein-massless Vlasov system	2
A new proof of Chen’s theorem for Markoff graphs	2
On the Serre conjecture for Artin characters in the geometric case	2
Squarefree values of polynomial discriminants I	2
Lower bounds for incidences	2
Extensions of characters in type D and the inductive McKay condition, II	2
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices	2
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	2
SRB measures for $C^{\infty }$ surface diffeomorphisms	2
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	2
Demazure crystals and the Schur positivity of Catalan functions	2
Non-classifiability of ergodic flows up to time change	2
Stability of Euclidean 3-space for the positive mass theorem	2
The Onsager conjecture in 2D: a Newton-Nash iteration	2
Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”	2
A proof of the Kudla–Rapoport conjecture for Krämer models	2
CAT(0) spaces of higher rank II	2