Inventiones Mathematicae

Article	Citations
Invariant Gibbs measures for $(1+1)$-dimensional wave maps into Lie groups	55
Global smooth rigidity for toral automorphisms	50
Cyclic quadrilaterals and smooth Jordan curves	39
Vanishing viscosity limit for axisymmetric vortex rings	39
All triangulations have a common stellar subdivision	37
Minimal slope conjecture of F-isocrystals	36
Liouville property for groups and conformal dimension	36
On the distribution of the Hodge locus	35
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	34
Percolation transition for random forests in $d\geqslant 3$	32
Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	25
Tautological classes of matroids	24
Diffeomorphisms of discs and the second Weiss derivative of BTop(–)	23
Admissible pairs and $p$-adic Hodge structures II: the bi-analytic Ax-Lindemann theorem	23
Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid	23
Poisson spacing statistics for lattice points on circles	23
The geometry of permutation modules	23
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	23
Scalar curvature rigidity of convex polytopes	22
Higher Hida theory for Siegel modular forms	21
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	21
The connected components of affine Deligne–Lusztig varieties	20
The linearized cubic NLS has no embedded eigenvalue	20
The critical 2d Stochastic Heat Flow	19
The time-like minimal surface equation in Minkowski space: low regularity solutions	18

Étale cohomology of algebraic varieties over Stein compacta	18
Intermediate complex structure limit for Calabi-Yau metrics	18
A $p$-adic Simpson correspondence for smooth proper rigid varieties	18
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups	17
Seshadri stratifications and standard monomial theory	15
Lipschitz inextendibility of weak null singularities from curvature blow-up	14
Monoidal categorification and quantum affine algebras II	14
A Lagrangian filling for every cluster seed	14
Global solutions for 1D cubic dispersive equations, part III: the quasilinear Schrödinger flow	13
Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map	13
Murmurations	13
The Landis conjecture on exponential decay	13
Unbounded Hankel operators and the flow of the cubic Szegő equation	12
A predicted distribution for Galois groups of maximal unramified extensions	12
Heat equation from a deterministic dynamics	12
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	12
Hausdorff dimension of the Apollonian gasket	12
Mean curvature flow from conical singularities	12
A phantom on a rational surface	11
Full description of Benjamin-Feir instability of stokes waves in deep water	11
Algebraicity of higher Green functions at a CM point	11
Canonical bases for Coulomb branches of 4d $\mathcal{N} =2$ gauge theories	11
Projections of self-affine fractals	11
Topological complexity of arithmetic locally symmetric spaces	11
Global axisymmetric Euler flows with rotation	11
Isotropic and numerical equivalence for Chow groups and Morava K-theories	11
Stochastic quantisation of Yang–Mills–Higgs in 3D	10
Unbounded field operators in categorical extensions of conformal nets	10
Geometric Eisenstein series I: finiteness theorems	10
Explicit asymptotic expansions in $p$-adic harmonic analysis II	10
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
o-minimal GAGA and a conjecture of Griffiths	9
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	9
Uniqueness of bound states to $\Delta u-u+|u|^{p-1}u= 0$ in $\mathbb{R}^{n} $, $n\ge 3$	9
Generic measure preserving transformations and the closed groups they generate	9
Special cubulation of strict hyperbolization	9
Generalizing Lusztig’s total positivity	9
Local models for Galois deformation rings and applications	9
On the monotonicity of the Fisher information for the Boltzmann equation	9
Group actions on contractible 2-complexes II	8
Full derivation of the wave kinetic equation	8
Every diffeomorphism is a total renormalization of a close to identity map	8
Group theoretical characterizations of rationality	8
The quantum connection, Fourier-Laplace transform, and families of $A_{\infty }$-categories	8
Moments of quadratic twists of modular $L$-functions	8
Twisting in Hamiltonian flows and perfect fluids	8
$L^{2}$-Cohomology of quasi-fibered boundary metrics	7
Zeta morphisms for rank two universal deformations	7
A diagram-free approach to the stochastic estimates in regularity structures	7
Localization crossover for the continuous Anderson Hamiltonian in 1-d	7

Schinzel Hypothesis on average and rational points	7
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime	7
Joint ergodicity for commuting transformations and applications to polynomial sequences	7
Persistence of heterodimensional cycles	7
Brauer classes not split by genus one curves	7
Pólya’s conjecture for Euclidean balls	7
Higher dimensional Fourier quasicrystals from Lee–Yang varieties	7
The $(2,1)$-cable of the figure-eight knot is not smoothly slice	6
The $D$-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles	6
Labeled four cycles and the $K(\pi ,1)$-conjecture for Artin groups	6
Coherent Springer theory and the categorical Deligne-Langlands correspondence	6
A $p$-adic arithmetic inner product formula	6
On the cost of the bubble set for random interlacements	6
Orbit equivalences of pseudo-Anosov flows	6
Fano 4-folds with $b_{2}>12$ are products of surfaces	6
Typical periodic optimization for dynamical systems: symbolic dynamics	6
Uniqueness of critical points of the second Neumann eigenfunctions on triangles	6
A priori bounds and degeneration of Herman rings with bounded type rotation number	6
The Tits alternative for the automorphism group of a free product	5
Derivation of Kubo’s formula for disordered systems at zero temperature	5
Strict comparison in reduced group $C^{*}$-algebras	5
Coulomb gas and the Grunsky operator on a Jordan domain with corners	5
Wilson spaces, snaith constructions, and elliptic orientations	5
Stationary measures for integrable polymers on a strip	5
On the largest product-free subsets of the alternating groups	5
Relative Langlands duality for some strongly tempered spherical varieties	5
Morse inequalities for ordered eigenvalues of generic self-adjoint families	5
Regularity of singular set in optimal transportation	5
Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions	5
Banach property (T) for $\mathrm{SL}_{n} (\mathbb{Z})$ and its applications	5
Logarithmic double ramification cycles	5
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	5
Weyl remainders: an application of geodesic beams	5
Exotic Dehn twists and homotopy coherent group actions	4
A Chabauty–Coleman bound for surfaces	4
Howe duality and dichotomy for exceptional theta correspondences	4
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	4
Critical exponents for a percolation model on transient graphs	4
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	4
The Adams differentials on the classes $h_{j}^{3}$	4
A dichotomy for Hörmander-type oscillatory integral operators	4
The finiteness conjecture for skein modules	4
Potential automorphy for $$GL_n$$	4
Character levels and character bounds for finite classical groups	4
Non-reductive geometric invariant theory and hyperbolicity	4
On ends of finite-volume noncompact manifolds of nonpositive curvature	4
Correction to:Gabor frames for rational functions	4
Renormalization group and elliptic homogenization in high contrast	4
The sup-norm problem for newforms of large level on $\operatorname{PGL}(n)$	4
Rotation-invariant web bases from hourglass plabic graphs	4
Szegő condition, scattering, and vibration of Krein strings	4
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	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	3
Stability under scaling in the local phases of multiplicative functions	3
Stability of the catenoid for the hyperbolic vanishing mean curvature equation outside symmetry	3
Cwikel’s bound reloaded	3
The density finite sums theorem	3
On the birational section conjecture with strong birationality assumptions	3
Gelfand–Kirillov dimension and mod $p$ cohomology for $\operatorname{GL}_{2}$	3
Irreducibility of random polynomials: general measures	3
Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture	3
A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$	3
Reductive quotients of klt singularities	3
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	3
Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	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
Large prime gaps and probabilistic models	3
Stability of Euclidean 3-space for the positive mass theorem	2
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices	2
Time quasi-periodic vortex patches of Euler equation in the plane	2
Voronoi conjecture for five-dimensional parallelohedra	2
The Smale conjecture and min-max theory	2
Extensions of characters in type D and the inductive McKay condition, II	2
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains	2
Non-classifiability of ergodic flows up to time change	2
On the Serre conjecture for Artin characters in the geometric case	2
Quantitative bounds in the nonlinear Roth theorem	2
The Assouad dimension of Kakeya sets in $\mathbb{R}^{3}$	2

Quillen stratification in equivariant homotopy theory	2
CAT(0) spaces of higher rank II	2
Braid variety cluster structures, II: general type	2
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	2
Exponential volumes of moduli spaces of hyperbolic surfaces	2
Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms	2
Demazure crystals and the Schur positivity of Catalan functions	2
Lower bounds for incidences	2
Cohomological Milnor formula and Saito’s conjecture on characteristic classes	2
A local-global principle for twisted flag varieties	2
Splitting 3-spheres for unknotted 2-spheres in $S^{4}$	2
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation	2
Random walks, spectral gaps, and Khintchine’s theorem on fractals	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
Derived categories of Fano threefolds and degenerations	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
A proof of the instability of AdS for the Einstein-massless Vlasov system	2
Local strong Birkhoff conjecture and local spectral uniqueness of almost every ellipse	2
A new proof of Chen’s theorem for Markoff graphs	2
SRB measures for $C^{\infty }$ surface diffeomorphisms	2
Conformal removability of non-simple Schramm-Loewner evolutions	2
Singular algebraic curves and infinite symplectic staircases	2
An exponential improvement for Ramsey lower bounds	2
Non-compact Riemann surfaces are equilaterally triangulable	2
On the stability and instability of Kelvin–Stuart cat’s-eye flows	2
The Onsager conjecture in 2D: a Newton-Nash iteration	2