OOIR: Observatory of International Research

Papers

(The TQCC of Inventiones Mathematicae is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)

Article	Citations
The globalization theorem for the Curvature-Dimension condition	52
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras	48
Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$	38
Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature	38
Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem	27
Linear stability of slowly rotating Kerr black holes	25
Reductivity of the automorphism group of K-polystable Fano varieties	24
Optimal destabilizing centers and equivariant K-stability	24
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation	23
Positivity of the CM line bundle for families of K-stable klt Fano varieties	20
The J-equation and the supercritical deformed Hermitian–Yang–Mills equation	17
G-uniform stability and Kähler–Einstein metrics on Fano varieties	17
Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials	16
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution	16
Local limits of uniform triangulations in high genus	16
Uniqueness of compact ancient solutions to three-dimensional Ricci flow	15
Index of minimal spheres and isoperimetric eigenvalue inequalities	15
New curvature conditions for the Bochner Technique	15
Random tensors, propagation of randomness, and nonlinear dispersive equations	15
Correlation energy of a weakly interacting Fermi gas	15
Diophantine problems and p-adic period mappings	15
Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups	15
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	14
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems	14
Full derivation of the wave kinetic equation	14

Minimal submanifolds from the abelian Higgs model	14
Helly meets Garside and Artin	13
Full description of Benjamin-Feir instability of stokes waves in deep water	13
Sharp nonuniqueness for the Navier–Stokes equations	12
Hyperbolic 5-manifolds that fiber over $$S^1$$	12
Boundary regularity and stability for spaces with Ricci bounded below	12
Squarefree values of polynomial discriminants I	11
Hyperdescent and étale K-theory	11
Etingof’s conjecture for quantized quiver varieties	11
The spectrum of simplicial volume	11
The Faber–Krahn inequality for the short-time Fourier transform	11
MMP for co-rank one foliations on threefolds	10
Ergodicity and type of nonsingular Bernoulli actions	10
Exponential decay of correlations in the two-dimensional random field Ising model	10
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	10
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	9
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	9
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	9
Random integral matrices: universality of surjectivity and the cokernel	9
Quantum difference equation for Nakajima varieties	9
Ancient asymptotically cylindrical flows and applications	9
Singularities and syzygies of secant varieties of nonsingular projective curves	9
Critical exponents for a percolation model on transient graphs	9
The critical 2d Stochastic Heat Flow	9
Constant mean curvature spheres in homogeneous three-manifolds	9
Plancherel formula for $${{\,\mathrm{\mathrm {GL}}\,}}_n(F){\backslash } {{\,\mathrm{\mathrm {GL}}\,}}_n(E)$$ and applications to the Ichino–Ikeda and formal degree conjectures for unitary groups	8
The canonical wall structure and intrinsic mirror symmetry	8
The local fundamental group of a Kawamata log terminal singularity is finite	8
Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II	8
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D	8
Strong positivity for quantum theta bases of quantum cluster algebras	7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	7
o-minimal GAGA and a conjecture of Griffiths	7
A refined Brill–Noether theory over Hurwitz spaces	7
Mod p and torsion homology growth in nonpositive curvature	7
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	7
Viterbo conjecture for Zoll symmetric spaces	7
Charmenability of arithmetic groups of product type	7
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials	6
N-point spherical functions and asymptotic boundary KZB equations	6
Purely magnetic tunneling effect in two dimensions	6
On the existence of supporting broken book decompositions for contact forms in dimension 3	6
A counterexample to vanishing conjectures for negative K-theory	6
Tautological classes of matroids	6
Local models for Galois deformation rings and applications	6
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	6
Ambidexterity in chromatic homotopy theory	6
The energy of dilute Bose gases II: the general case	6
Zero loci of Bernstein–Sato ideals	6
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	6

The logarithmic gauged linear sigma model	6
Large Steklov eigenvalues via homogenisation on manifolds	6
Chaos in the incompressible Euler equation on manifolds of high dimension	6
Mixing solutions for the Muskat problem	6
Global well-posedness for the derivative nonlinear Schrödinger equation	6
A Dichotomy for the Weierstrass-type functions	6