OOIR: Observatory of International Research

Papers

(The median citation count of Annals of Mathematics is 5. 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 2022-08-01 to 2026-08-01.)

Article	Citations
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	88
Feral curves and minimal sets	82
A counterexample to Viterbo's conjecture	63
Stable minimal hypersurfaces in $\mathbf{R}^5$	59
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	42
Fractal uncertainty in higher dimensions	40
An approach to universality using Weyl m-functions	37
Bethe–Sommerfeld Conjecture and absolutely continuous spectrum of multi-dimensional quasi-periodic Schrödinger operators	31
Eisenstein–Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation	28
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$	28
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	27
Redshift and multiplication for truncated Brown--Peterson spectra	24
Purity for flat cohomology	23
Special subvarieties of non-arithmetic ball quotients and Hodge theory	22
Existence of infinitely many minimal hypersurfaces in closed manifolds	21
The local-global conjecture for Apollonian circle packings is false	21
New large value estimates for Dirichlet polynomials	19
Complete classification of global solutions to the obstacle problem	18
A reverse Minkowski theorem	18
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	18
Prime number theorem for analytic skew products	18
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves	17
Potential automorphy over CM fields	17
Sharp bounds for multiplicities of Bianchi modular forms	15
Higher uniformity of bounded multiplicative functions in short intervals on average	15

On a conjecture of Marton	15
Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families	15
The Alperin--McKay and Brauer's height zero conjecture for the prime 2	13
Characterizing finitely generated fields by a single field axiom	13
Compact moduli of K3 surfaces	12
Wilkie's conjecture for Pfaffian structures	12
Doubling constructions: Global functoriality for non-generic cuspidal representations	11
High rank invariant subvarieties	11
The Hasse principle for random Fano hypersurfaces	10
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	10
One can hear the shape of ellipses of small eccentricity	10
On the coherence of one-relator groups and their group algebras	10
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension	10
Regularity of minimal surfaces near quadratic cones	9
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds	9
On the stability of multi-dimensional rarefaction waves II: existence of solutions and applications to the Riemann problem	8
Transversality and super-rigidity for multiply covered holomorphic curves	8
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	8
Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"	8
The asymptotics of r(4,t)	8
Pointwise convergence of the non-linear Fourier transform	8
Independence of $\ell$ for Frobenius conjugacy classes attached to abelian varieties	8
Nonlinear inviscid damping for a class of monotone shear flows in a finite channel	8
The stable Adams conjecture and higher associative structures on Moore spectra: Retraction	7
Nash blowup fails to resolve singularities in dimensions four and higher	7
Galois sections and p-adic period mappings	7
Good Locally Testable Codes	7
The $P=W$ conjecture for $\mathrm{GL}_n$	7
Infinite volume and infinite injectivity radius	7
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	6
Erratum to "On the averaged Colmez conjecture"	6
Loop structure on equivariant $K$-theory of semi-infinite flag manifolds	6
Parabolicity conjecture of $F$-isocrystals	6
On the generic part of the cohomology of non-compact unitary Shimura varieties	6
Affine Beilinson-Bernstein localization at the critical level	6
On $L^\infty$ estimates for fully non-linear partial differential equations	5
Brauer's Height Zero Conjecture	5
Canonical representations of surface groups	5
Bias in cubic Gauss sums: Patterson's conjecture	5
High-girth Steiner triple systems	5
The Shafarevich conjecture for hypersurfaces in abelian varieties	5
Functions on the commuting stack via Langlands duality	5
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two	5
A new approach to strong convergence	5