Inventiones Mathematicae

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	49
Global smooth rigidity for toral automorphisms	47
The geometry of permutation modules	36
Vanishing viscosity limit for axisymmetric vortex rings	35
Cyclic quadrilaterals and smooth Jordan curves	34
All triangulations have a common stellar subdivision	33
Tautological classes of matroids	33
Liouville property for groups and conformal dimension	32
Minimal slope conjecture of F-isocrystals	31
On the distribution of the Hodge locus	30
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	26
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	25
Percolation transition for random forests in $d\geqslant 3$	23
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	22
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	21
Scalar curvature rigidity of convex polytopes	21
Poisson spacing statistics for lattice points on circles	21
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	21
The linearized cubic NLS has no embedded eigenvalue	20
Higher Hida theory for Siegel modular forms	20
The connected components of affine Deligne–Lusztig varieties	20
A $p$-adic Simpson correspondence for smooth proper rigid varieties	19
The critical 2d Stochastic Heat Flow	19
The Landis conjecture on exponential decay	18
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	18

The time-like minimal surface equation in Minkowski space: low regularity solutions	18
Étale cohomology of algebraic varieties over Stein compacta	18
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups	17
Intermediate complex structure limit for Calabi-Yau metrics	17
Seshadri stratifications and standard monomial theory	16
Lipschitz inextendibility of weak null singularities from curvature blow-up	15
Monoidal categorification and quantum affine algebras II	14
A Lagrangian filling for every cluster seed	14
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	13
Murmurations	13
Mean curvature flow from conical singularities	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
Hausdorff dimension of the Apollonian gasket	12
Global axisymmetric Euler flows with rotation	12
Heat equation from a deterministic dynamics	12
Degenerating Kähler–Einstein cones, locally symmetric cusps, and the Tian–Yau metric	12
A predicted distribution for Galois groups of maximal unramified extensions	11
Canonical bases for Coulomb branches of 4d $\mathcal{N} =2$ gauge theories	11
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	11
Generalizing Lusztig’s total positivity	11
Full description of Benjamin-Feir instability of stokes waves in deep water	11
Isotropic and numerical equivalence for Chow groups and Morava K-theories	11
Algebraicity of higher Green functions at a CM point	10
Topological complexity of arithmetic locally symmetric spaces	10
Local models for Galois deformation rings and applications	10
Explicit asymptotic expansions in $p$-adic harmonic analysis II	9
Geometric Eisenstein series I: finiteness theorems	9
Stochastic quantisation of Yang–Mills–Higgs in 3D	9
Unbounded field operators in categorical extensions of conformal nets	9
o-minimal GAGA and a conjecture of Griffiths	9
Generic measure preserving transformations and the closed groups they generate	9
A phantom on a rational surface	9
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	9
Uniqueness of bound states to $\Delta u-u+|u|^{p-1}u= 0$ in $\mathbb{R}^{n} $, $n\ge 3$	9
Group actions on contractible 2-complexes II	8
Characterising rectifiable metric spaces using tangent spaces	8
Twisting in Hamiltonian flows and perfect fluids	8
On the monotonicity of the Fisher information for the Boltzmann equation	8
Localization crossover for the continuous Anderson Hamiltonian in 1-d	8
Group theoretical characterizations of rationality	8
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	8
Full derivation of the wave kinetic equation	8
Moments of quadratic twists of modular $L$-functions	8
Every diffeomorphism is a total renormalization of a close to identity map	8
Special cubulation of strict hyperbolization	8
Persistence of heterodimensional cycles	7
Pólya’s conjecture for Euclidean balls	7
A priori bounds and degeneration of Herman rings with bounded type rotation number	7
Joint ergodicity for commuting transformations and applications to polynomial sequences	7

Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
Zeta morphisms for rank two universal deformations	7
Schinzel Hypothesis on average and rational points	7
A diagram-free approach to the stochastic estimates in regularity structures	7
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Uniform Roe algebras of uniformly locally finite metric spaces are rigid	6
A $p$-adic arithmetic inner product formula	6
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	6
Fano 4-folds with $b_{2}>12$ are products of surfaces	6
Uniqueness of critical points of the second Neumann eigenfunctions on triangles	6
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	6
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	6
Coherent Springer theory and the categorical Deligne-Langlands correspondence	6
Stationary measures for integrable polymers on a strip	6
Typical periodic optimization for dynamical systems: symbolic dynamics	6
On the cost of the bubble set for random interlacements	6
Orbit equivalences of pseudo-Anosov flows	5
Strict comparison in reduced group $C^{*}$-algebras	5
Character levels and character bounds for finite classical groups	5
Derivation of Kubo’s formula for disordered systems at zero temperature	5
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	5
Szegő condition, scattering, and vibration of Krein strings	5
Wilson spaces, snaith constructions, and elliptic orientations	5
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	5
The Tits alternative for the automorphism group of a free product	5
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	5
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	4
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	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
Renormalization group and elliptic homogenization in high contrast	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
Howe duality and dichotomy for exceptional theta correspondences	4
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	4
A Chabauty–Coleman bound for surfaces	4
A dichotomy for Hörmander-type oscillatory integral operators	4
Gelfand–Kirillov dimension and mod $p$ cohomology for $\operatorname{GL}_{2}$	4
The Adams differentials on the classes $h_{j}^{3}$	4
Non-reductive geometric invariant theory and hyperbolicity	4
The sup-norm problem for newforms of large level on $\operatorname{PGL}(n)$	4
Rotation-invariant web bases from hourglass plabic graphs	4
The finiteness conjecture for skein modules	4
Exotic Dehn twists and homotopy coherent group actions	4
Kähler compactification of $\mathbb{C}^{n}$ and Reeb dynamics	4
Quantum difference equation for Nakajima varieties	4
Potential automorphy for $$GL_n$$	4
Critical exponents for a percolation model on transient graphs	4
Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry	3
Irreducibility of random polynomials: general measures	3
Algebraic relations among special gamma values and the Chowla–Selberg phenomenon over function fields	3
Voronoi conjecture for five-dimensional parallelohedra	3
A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$	3
On the birational section conjecture with strong birationality assumptions	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
Stability under scaling in the local phases of multiplicative functions	3
Reductive quotients of klt singularities	3
The Galois action on symplectic K-theory	3
Cwikel’s bound reloaded	3
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	3
Asymptotic geometry of lamplighters over one-ended groups	2
The Assouad dimension of Kakeya sets in $\mathbb{R}^{3}$	2
Continuity properties of Lyapunov exponents for surface diffeomorphisms	2
An exponential improvement for Ramsey lower bounds	2
Stability of Euclidean 3-space for the positive mass theorem	2
Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”	2
A proof of the instability of AdS for the Einstein-massless Vlasov system	2
Large prime gaps and probabilistic models	2
Exponential volumes of moduli spaces of hyperbolic surfaces	2
Quillen stratification in equivariant homotopy theory	2
Publisher Correction to: Finite quotients of 3-manifold groups	2
Nonuniformly elliptic Schauder theory	2
Concentration on the Boolean hypercube via pathwise stochastic analysis	2
On the stability and instability of Kelvin–Stuart cat’s-eye flows	2
Bourgeois contact structures: Tightness, fillability and applications	2
On the Serre conjecture for Artin characters in the geometric case	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
SRB measures for $C^{\infty }$ surface diffeomorphisms	2

Quantitative bounds in the nonlinear Roth theorem	2
Triangulated categories with a single compact generator, and two Brown representability theorems	2
Uniform negative immersions and the coherence of one-relator groups	2
Extensions of Schoen–Simon–Yau and Schoen–Simon theorems via iteration à la De Giorgi	2
Singular algebraic curves and infinite symplectic staircases	2
A local-global principle for twisted flag varieties	2
Non-compact Riemann surfaces are equilaterally triangulable	2
Random walks, spectral gaps, and Khintchine’s theorem on fractals	2
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	2
Time quasi-periodic vortex patches of Euler equation in the plane	2
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation	2
The density finite sums theorem	2
Coxeter groups are biautomatic	2