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 2022-05-01 to 2026-05-01.)

Article	Citations
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	88
Feral curves and minimal sets	84
A counterexample to Viterbo's conjecture	66
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	58
Bethe–Sommerfeld Conjecture and absolutely continuous spectrum of multi-dimensional quasi-periodic Schrödinger operators	53
An approach to universality using Weyl m-functions	37
Eisenstein–Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation	33
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	33
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$	28
Fractal uncertainty in higher dimensions	25
Redshift and multiplication for truncated Brown--Peterson spectra	25
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	24
Purity for flat cohomology	24
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	19
The local-global conjecture for Apollonian circle packings is false	19
Special subvarieties of non-arithmetic ball quotients and Hodge theory	18
New large value estimates for Dirichlet polynomials	18
A reverse Minkowski theorem	18
Existence of infinitely many minimal hypersurfaces in closed manifolds	18
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	16
Complete classification of global solutions to the obstacle problem	16
Prime number theorem for analytic skew products	16
Potential automorphy over CM fields	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
On a conjecture of Marton	14
Rigid local systems and the multiplicative eigenvalue problem	14
Sharp bounds for multiplicities of Bianchi modular forms	14
Higher uniformity of bounded multiplicative functions in short intervals on average	14
Wilkie's conjecture for Pfaffian structures	12
The Alperin--McKay and Brauer's height zero conjecture for the prime 2	12
Doubling constructions: Global functoriality for non-generic cuspidal representations	11
Compact moduli of K3 surfaces	11
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	10
On the coherence of one-relator groups and their group algebras	10
High rank invariant subvarieties	10
The Hasse principle for random Fano hypersurfaces	10
Characterizing finitely generated fields by a single field axiom	10
Proof of the satisfiability conjecture for large $k$	9
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension	9
One can hear the shape of ellipses of small eccentricity	9
Regularity of minimal surfaces near quadratic cones	9
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds	8
Pointwise convergence of the non-linear Fourier transform	8
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
Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"	8
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	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 Hofer-Zehnder conjecture	6
The stable Adams conjecture and higher associative structures on Moore spectra: Retraction	6
The asymptotics of r(4,t)	6
Infinite volume and infinite injectivity radius	6
Galois sections and p-adic period mappings	6
Good Locally Testable Codes	6
Independence of $\ell$ for Frobenius conjugacy classes attached to abelian varieties	6
On the generic part of the cohomology of non-compact unitary Shimura varieties	5
Nash blowup fails to resolve singularities in dimensions four and higher	5
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	5
Loop structure on equivariant $K$-theory of semi-infinite flag manifolds	5
Parabolicity conjecture of $F$-isocrystals	5
Canonical representations of surface groups	5
A new approach to strong convergence	5
Affine Beilinson-Bernstein localization at the critical level	5
Erratum to "On the averaged Colmez conjecture"	5