Inventiones Mathematicae

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	46
Global smooth rigidity for toral automorphisms	45
The geometry of permutation modules	35
Vanishing viscosity limit for axisymmetric vortex rings	33
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	32
Cyclic quadrilaterals and smooth Jordan curves	31
All triangulations have a common stellar subdivision	31
Tautological classes of matroids	30
Liouville property for groups and conformal dimension	29
Minimal slope conjecture of F-isocrystals	29
On the distribution of the Hodge locus	25
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	22
Percolation transition for random forests in $d\geqslant 3$	22
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	22
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	21
Poisson spacing statistics for lattice points on circles	21
The critical 2d Stochastic Heat Flow	20
Higher Hida theory for Siegel modular forms	20
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	20
Scalar curvature rigidity of convex polytopes	20
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	19
The linearized cubic NLS has no embedded eigenvalue	18
Étale cohomology of algebraic varieties over Stein compacta	18
A $p$-adic Simpson correspondence for smooth proper rigid varieties	18
The connected components of affine Deligne–Lusztig varieties	18

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

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

When any three solutions are independent	2
Random walks, spectral gaps, and Khintchine’s theorem on fractals	2
On the Serre conjecture for Artin characters in the geometric case	2
Splitting 3-spheres for unknotted 2-spheres in $S^{4}$	2
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains	2
Non-classifiability of ergodic flows up to time change	2
The density finite sums theorem	2
Time quasi-periodic vortex patches of Euler equation in the plane	2
Local strong Birkhoff conjecture and local spectral uniqueness of almost every ellipse	2
Continuity properties of Lyapunov exponents for surface diffeomorphisms	2
Braid variety cluster structures, II: general type	2
Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”	2
Bourgeois contact structures: Tightness, fillability and applications	2
Lower bounds for incidences	2
Demazure crystals and the Schur positivity of Catalan functions	2
The Smale conjecture and min-max theory	2
Derived categories of Fano threefolds and degenerations	2
Large prime gaps and probabilistic models	2
CAT(0) spaces of higher rank II	2
Extensions of characters in type D and the inductive McKay condition, II	2
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	2
The Onsager conjecture in 2D: a Newton-Nash iteration	2
A proof of the Kudla–Rapoport conjecture for Krämer models	2