OOIR: Observatory of International Research

Papers

(The TQCC of Inventiones Mathematicae is 7. 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 2020-11-01 to 2024-11-01.)

Article	Citations
The globalization theorem for the Curvature-Dimension condition	58
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras	55
Optimal destabilizing centers and equivariant K-stability	30
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation	25
G-uniform stability and Kähler–Einstein metrics on Fano varieties	22
Positivity of the CM line bundle for families of K-stable klt Fano varieties	22
Random tensors, propagation of randomness, and nonlinear dispersive equations	22
The J-equation and the supercritical deformed Hermitian–Yang–Mills equation	21
Sharp nonuniqueness for the Navier–Stokes equations	20
Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups	19
Uniqueness of compact ancient solutions to three-dimensional Ricci flow	17
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	17
Full derivation of the wave kinetic equation	17
The Faber–Krahn inequality for the short-time Fourier transform	16
Helly meets Garside and Artin	16
Full description of Benjamin-Feir instability of stokes waves in deep water	15
Hyperbolic 5-manifolds that fiber over $$S^1$$	15
Boundary regularity and stability for spaces with Ricci bounded below	15
Correlation energy of a weakly interacting Fermi gas	15
Critical exponents for a percolation model on transient graphs	14
Hyperdescent and étale K-theory	13
MMP for co-rank one foliations on threefolds	13
The critical 2d Stochastic Heat Flow	13
Squarefree values of polynomial discriminants I	13
Global well-posedness for the derivative nonlinear Schrödinger equation	12

An intermittent Onsager theorem	12
Exponential decay of correlations in the two-dimensional random field Ising model	12
Quantum difference equation for Nakajima varieties	11
Ancient asymptotically cylindrical flows and applications	11
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	11
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	11
Existence of moduli spaces for algebraic stacks	11
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	11
The local fundamental group of a Kawamata log terminal singularity is finite	11
Random integral matrices: universality of surjectivity and the cokernel	11
Purely magnetic tunneling effect in two dimensions	10
The energy of dilute Bose gases II: the general case	10
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	10
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	10
The canonical wall structure and intrinsic mirror symmetry	10
Strong positivity for quantum theta bases of quantum cluster algebras	10
Viterbo conjecture for Zoll symmetric spaces	10
Ergodicity and type of nonsingular Bernoulli actions	10
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry	10
A Dichotomy for the Weierstrass-type functions	10
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	9
Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II	9
Tautological classes of matroids	9
Mixing solutions for the Muskat problem	9
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D	9
Local models for Galois deformation rings and applications	8
Matrix concentration inequalities and free probability	8
Gabor frames for rational functions	8
On the existence of supporting broken book decompositions for contact forms in dimension 3	8
Maximal estimates for averages over space curves	8
Large Steklov eigenvalues via homogenisation on manifolds	8
CM values of higher automorphic Green functions for orthogonal groups	8
o-minimal GAGA and a conjecture of Griffiths	8
Time quasi-periodic vortex patches of Euler equation in the plane	8
N-point spherical functions and asymptotic boundary KZB equations	8
Regularity of the free boundary for the two-phase Bernoulli problem	8
Ambidexterity in chromatic homotopy theory	7
A refined Brill–Noether theory over Hurwitz spaces	7
Mod p and torsion homology growth in nonpositive curvature	7
On the closure of the Hodge locus of positive period dimension	7
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	7
Zero loci of Bernstein–Sato ideals	7
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	7
K-stability and birational models of moduli of quartic K3 surfaces	7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	7
A counterexample to vanishing conjectures for negative K-theory	7