OOIR: Observatory of International Research

Papers

(The median citation count of Annals of Mathematics is 4. 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 2022-06-01 to 2026-06-01.)

Article	Citations
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	91
Feral curves and minimal sets	85
A counterexample to Viterbo's conjecture	71
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	59
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$	55
Redshift and multiplication for truncated Brown--Peterson spectra	38
Fractal uncertainty in higher dimensions	35
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	35
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	29
Purity for flat cohomology	27
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	27
An approach to universality using Weyl m-functions	25
Bethe–Sommerfeld Conjecture and absolutely continuous spectrum of multi-dimensional quasi-periodic Schrödinger operators	24
Eisenstein–Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation	19
The local-global conjecture for Apollonian circle packings is false	18
Existence of infinitely many minimal hypersurfaces in closed manifolds	18
New large value estimates for Dirichlet polynomials	18
Special subvarieties of non-arithmetic ball quotients and Hodge theory	18
Prime number theorem for analytic skew products	17
A reverse Minkowski theorem	17
Potential automorphy over CM fields	16
Complete classification of global solutions to the obstacle problem	16
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	16
Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families	15
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves	15

Higher uniformity of bounded multiplicative functions in short intervals on average	14
On a conjecture of Marton	14
Wilkie's conjecture for Pfaffian structures	12
Sharp bounds for multiplicities of Bianchi modular forms	12
The Alperin--McKay and Brauer's height zero conjecture for the prime 2	12
Characterizing finitely generated fields by a single field axiom	11
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	11
Compact moduli of K3 surfaces	11
Doubling constructions: Global functoriality for non-generic cuspidal representations	11
The Hasse principle for random Fano hypersurfaces	10
High rank invariant subvarieties	10
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension	9
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds	9
On the coherence of one-relator groups and their group algebras	9
One can hear the shape of ellipses of small eccentricity	9
Proof of the satisfiability conjecture for large $k$	8
Transversality and super-rigidity for multiply covered holomorphic curves	8
On the stability of multi-dimensional rarefaction waves II: existence of solutions and applications to the Riemann problem	8
Regularity of minimal surfaces near quadratic cones	8
Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"	8
Nonlinear inviscid damping for a class of monotone shear flows in a finite channel	7
The $P=W$ conjecture for $\mathrm{GL}_n$	7
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	7
Pointwise convergence of the non-linear Fourier transform	7
Independence of $\ell$ for Frobenius conjugacy classes attached to abelian varieties	7
Galois sections and p-adic period mappings	6
Good Locally Testable Codes	6
Nash blowup fails to resolve singularities in dimensions four and higher	6
Infinite volume and infinite injectivity radius	6
The asymptotics of r(4,t)	6
The stable Adams conjecture and higher associative structures on Moore spectra: Retraction	6
Functions on the commuting stack via Langlands duality	5
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	5
Erratum to "On the averaged Colmez conjecture"	5
Canonical representations of surface groups	5
Loop structure on equivariant $K$-theory of semi-infinite flag manifolds	5
Parabolicity conjecture of $F$-isocrystals	5
A new approach to strong convergence	5
On the generic part of the cohomology of non-compact unitary Shimura varieties	5
Affine Beilinson-Bernstein localization at the critical level	5
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two	4
The Shafarevich conjecture for hypersurfaces in abelian varieties	4
Erratum: "Topology of homology manifolds"	4
Bias in cubic Gauss sums: Patterson's conjecture	4
Weil-Petersson curves, $\beta$-numbers, and minimal surfaces	4
Brauer's Height Zero Conjecture	4
On $L^\infty$ estimates for fully non-linear partial differential equations	4
High-girth Steiner triple systems	4
Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid	4