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 2020-04-01 to 2024-04-01.)

Article	Citations
The globalization theorem for the Curvature-Dimension condition	51
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras	48
Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$	37
Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature	37
Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem	26
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	20
Positivity of the CM line bundle for families of K-stable klt Fano varieties	19
G-uniform stability and Kähler–Einstein metrics on Fano varieties	17
Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials	16
Local limits of uniform triangulations in high genus	16
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution	15
Diophantine problems and p-adic period mappings	15
The J-equation and the supercritical deformed Hermitian–Yang–Mills equation	15
Correlation energy of a weakly interacting Fermi gas	15
Index of minimal spheres and isoperimetric eigenvalue inequalities	14
Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups	14
Uniqueness of compact ancient solutions to three-dimensional Ricci flow	13
Random tensors, propagation of randomness, and nonlinear dispersive equations	13
Full description of Benjamin-Feir instability of stokes waves in deep water	13
New curvature conditions for the Bochner Technique	13
Minimal submanifolds from the abelian Higgs model	13
Helly meets Garside and Artin	13

Boundary regularity and stability for spaces with Ricci bounded below	12
Sharp nonuniqueness for the Navier–Stokes equations	12
Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration	12
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	12
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	12
The spectrum of simplicial volume	11
Hyperdescent and étale K-theory	11
Hyperbolic 5-manifolds that fiber over $$S^1$$	11
The Faber–Krahn inequality for the short-time Fourier transform	11
Etingof’s conjecture for quantized quiver varieties	10
Ergodicity and type of nonsingular Bernoulli actions	10
Squarefree values of polynomial discriminants I	10
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	10
MMP for co-rank one foliations on threefolds	10
Full derivation of the wave kinetic equation	10
On the integral Hodge conjecture for real varieties, I	9
Constant mean curvature spheres in homogeneous three-manifolds	9
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	9
Exponential decay of correlations in the two-dimensional random field Ising model	9
Quantum difference equation for Nakajima varieties	9
Singularities and syzygies of secant varieties of nonsingular projective curves	9
Random integral matrices: universality of surjectivity and the cokernel	9
The local fundamental group of a Kawamata log terminal singularity is finite	8
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	8
The critical 2d Stochastic Heat Flow	8
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
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	7
A refined Brill–Noether theory over Hurwitz spaces	7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	7
o-minimal GAGA and a conjecture of Griffiths	7
Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II	7
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	7
Charmenability of arithmetic groups of product type	7
The canonical wall structure and intrinsic mirror symmetry	7
Strong positivity for quantum theta bases of quantum cluster algebras	7
Critical exponents for a percolation model on transient graphs	7
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D	7
A Dichotomy for the Weierstrass-type functions	6
The logarithmic gauged linear sigma model	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
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	6
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials	6
Purely magnetic tunneling effect in two dimensions	6
Zero loci of Bernstein–Sato ideals	6
Ancient asymptotically cylindrical flows and applications	6
A counterexample to vanishing conjectures for negative K-theory	6
N-point spherical functions and asymptotic boundary KZB equations	6
The energy of dilute Bose gases II: the general case	6

Viterbo conjecture for Zoll symmetric spaces