Inventiones Mathematicae

Article	Citations
Demazure crystals and the Schur positivity of Catalan functions	60
Existence of harmonic maps and eigenvalue optimization in higher dimensions	30
Geometry of 1-codimensional measures in Heisenberg groups	25
o-minimal GAGA and a conjecture of Griffiths	22
Morse inequalities for ordered eigenvalues of generic self-adjoint families	22
A topological proof of the Shapiro–Shapiro conjecture	22
Regularity for graphs with bounded anisotropic mean curvature	20
Moment maps and cohomology of non-reductive quotients	19
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices	17
Random tensors, propagation of randomness, and nonlinear dispersive equations	17
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups	17
Homological branching law for $$({\mathrm {GL}}_{n+1}(F), {\mathrm {GL}}_n(F))$$: projectivity and indecomposability	16
On the closure of the Hodge locus of positive period dimension	16
On the Erdős covering problem: the density of the uncovered set	15
Algebraicity of higher Green functions at a CM point	15
Isotropic and numerical equivalence for Chow groups and Morava K-theories	15
Stochastic quantisation of Yang–Mills–Higgs in 3D	15
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	15
Distribution of values of quadratic forms at integral points	14
Scalable spaces	13
Weyl remainders: an application of geodesic beams	13
Non-virtually abelian anisotropic linear groups are not boundedly generated	13
Local models for Galois deformation rings and applications	12
MMP for co-rank one foliations on threefolds	12
Dynamical uniform boundedness and the abc-conjecture	12

Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	11
A phantom on a rational surface	11
One dimensional representations of finite $W$-algebras, Dirac reduction and the orbit method	11
On the largest product-free subsets of the alternating groups	11
The rates of growth in a hyperbolic group	11
Random integral matrices: universality of surjectivity and the cokernel	11
Hyperbolic 5-manifolds that fiber over $$S^1$$	11
Geometric Bogomolov conjecture in arbitrary characteristics	11
Sharp nonuniqueness for the Navier–Stokes equations	11
Babai’s conjecture for high-rank classical groups with random generators	11
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	10
Derived categories of Fano threefolds and degenerations	10
Character levels and character bounds for finite classical groups	10
Publisher Correction to: A predicted distribution for Galois groups of maximal unramified extensions	10
Generalizing Lusztig’s total positivity	10
Non-classifiability of ergodic flows up to time change	10
Existence of moduli spaces for algebraic stacks	10
Virasoro constraints for moduli of sheaves and vertex algebras	10
Generic measure preserving transformations and the closed groups they generate	9
Special cubulation of strict hyperbolization	9
Twisting in Hamiltonian flows and perfect fluids	9
Banach’s isometric subspace problem in dimension four	8
On the distribution of the Hodge locus	8
Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps	8
Koszul duality for quasi-split real groups	8
Counting essential surfaces in 3-manifolds	8
Rigidity of proper colorings of $${\mathbb {Z}}^{d}$$	8
Billiards, heights, and the arithmetic of non-arithmetic groups	8
The logarithmic gauged linear sigma model	8
Minimal slope conjecture of F-isocrystals	8
On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions	7
Wilson spaces, snaith constructions, and elliptic orientations	7
A class formula for admissible Anderson modules	7
Lim Ulrich sequences and Lech’s conjecture	7
Nearby motivic sheaves of weighted equivariant functions	7
Szegő condition, scattering, and vibration of Krein strings	7
Tautological classes of matroids	6
Vanishing viscosity limit for axisymmetric vortex rings	6
Mod p and torsion homology growth in nonpositive curvature	6
Synthetic spectra and the cellular motivic category	6
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	6
Every diffeomorphism is a total renormalization of a close to identity map	6
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	6
Yano’s conjecture	6
Cyclic quadrilaterals and smooth Jordan curves	6
Charmenability of arithmetic groups of product type	6
CAT(0) spaces of higher rank II	6
Non-reductive geometric invariant theory and hyperbolicity	6
Percolation transition for random forests in $d\geqslant 3$	6
When any three solutions are independent	5

A proof of the Kudla–Rapoport conjecture for Krämer models	5
A Dichotomy for the Weierstrass-type functions	5
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem	5
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions	5
Helly meets Garside and Artin	5
An intermittent Onsager theorem	5
The Onsager conjecture in 2D: a Newton-Nash iteration	5
Topological cyclic homology of local fields	5
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials	5
Squarefree values of polynomial discriminants I	5
Full derivation of the wave kinetic equation	5
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$	5
Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3	5
Correction to: Multiple zeta values in deformation quantization	5
Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ to $${\mathbb {R}}^n$$	4
Localization crossover for the continuous Anderson Hamiltonian in 1-d	4
$\mathbf{C^{2}}$-Lusin approximation of strongly convex functions	4
Conformal dimension of hyperbolic groups that split over elementary subgroups	4
Moments of quadratic twists of modular $L$-functions	4
Persistence of heterodimensional cycles	4
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	4
The finiteness conjecture for skein modules	4
Critical exponents for a percolation model on transient graphs	4
Rigidity of Riemannian embeddings of discrete metric spaces	4
Monodromy of the Casimir connection of a symmetrisable Kac–Moody algebra	4
Global well-posedness for the derivative nonlinear Schrödinger equation	4
Lifting and automorphy of reducible mod p Galois representations over global fields	4
The critical 2d Stochastic Heat Flow	4
Potential automorphy for $$GL_n$$	4
Correction to: Representation growth and rational singularities of the moduli space of local systems	4
Bourgeois contact structures: Tightness, fillability and applications	4
Scalar curvature rigidity of convex polytopes	3
A complexity problem for Borel graphs	3
Viterbo conjecture for Zoll symmetric spaces	3
Howe duality and dichotomy for exceptional theta correspondences	3
Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations	3
Correction to: Modularity lifting beyond the Taylor–Wiles method	3
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	3
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation	3
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	3
Vasconcelos’ conjecture on the conormal module	3
Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces	3
Quasimap wall-crossing for GIT quotients	3
Product structure and regularity theorem for totally nonnegative flag varieties	3
On the Beilinson–Bloch–Kato conjecture for Rankin–Selberg motives	3
Quantitative bounds in the nonlinear Roth theorem	3
Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”	3
A diagram-free approach to the stochastic estimates in regularity structures	3
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation	3
Ancient asymptotically cylindrical flows and applications	3
Continuity properties of Lyapunov exponents for surface diffeomorphisms	3
Mean curvature flow with generic initial data	3
Purity and 2-Calabi–Yau categories	3
Characterising rectifiable metric spaces using tangent spaces	3
On the ergodicity of the frame flow on even-dimensional manifolds	3
Random walks, spectral gaps, and Khintchine’s theorem on fractals	3
The local fundamental group of a Kawamata log terminal singularity is finite	3
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation	2
Local rigidity for periodic generalised interval exchange transformations	2
Stability of Euclidean 3-space for the positive mass theorem	2
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	2
On the existence of supporting broken book decompositions for contact forms in dimension 3	2
$L^{2}$-Cohomology of quasi-fibered boundary metrics	2
Density theorems for $${\textrm{GL}}(n)$$	2
Plenty of big projections imply big pieces of Lipschitz graphs	2
Hamiltonian Floer theory on surfaces: linking, positively transverse foliations and spectral invariants	2
The time-like minimal surface equation in Minkowski space: low regularity solutions	2
A Chabauty–Coleman bound for surfaces	2
An analytic invariant of $G_{2}$ manifolds	2
Quillen stratification in equivariant homotopy theory	2
RETRACTED ARTICLE: Closed three-dimensional vacuum static spaces	2
Evaluating the wild Brauer group	2
Critical points of the Moser–Trudinger functional on closed surfaces	2
Equal sums in random sets and the concentration of divisors	2
The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions	2
Limit lamination theorem for H-disks	2
Curvature and sharp growth rates of log-quasimodes on compact manifolds	2
Seshadri stratifications and standard monomial theory	2
Pólya’s conjecture for Euclidean balls	2
Correction to: Supersingular K3 surfaces are unirational	2

Joint ergodicity for commuting transformations and applications to polynomial sequences	2
A Lagrangian filling for every cluster seed	2
Polynomial averages and pointwise ergodic theorems on nilpotent groups	2
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	2
Tempered D-modules and Borel–Moore homology vanishing	2
On ends of finite-volume noncompact manifolds of nonpositive curvature	2