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 2021-09-01 to 2025-09-01.)

Article	Citations
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	81
Feral curves and minimal sets	70
The stable Adams conjecture and higher associative structures on Moore spectra	69
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	47
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$	46
Eisenstein–Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation	44
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	40
Fractal uncertainty in higher dimensions	32
Redshift and multiplication for truncated Brown--Peterson spectra	28
Purity for flat cohomology	27
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	21
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	21
Special subvarieties of non-arithmetic ball quotients and Hodge theory	19
The local-global conjecture for Apollonian circle packings is false	19
Existence of infinitely many minimal hypersurfaces in closed manifolds	18
A reverse Minkowski theorem	17
Infinitely many Lagrangian fillings	17
Prime number theorem for analytic skew products	16
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	14
Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios	14
The Gaussian Double-Bubble and Multi-Bubble Conjectures	14
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	14
Complete classification of global solutions to the obstacle problem	14
Potential automorphy over CM fields	13
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves	13

Measures of maximal entropy for surface diffeomorphisms	13
Higher uniformity of bounded multiplicative functions in short intervals on average	12
Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families	12
A non-hypergeometric E-function	11
Global regularity for the Monge-Ampère equation with natural boundary condition	11
The Chow $t$-structure on the $\infty$-category of motivic spectra	11
Improved bounds for the sunflower lemma	11
On a conjecture of Marton	11
Rigid local systems and the multiplicative eigenvalue problem	11
Sharp bounds for multiplicities of Bianchi modular forms	11
Characterizing finitely generated fields by a single field axiom	10
Compact moduli of K3 surfaces	10
The Alperin--McKay and Brauer's height zero conjecture for the prime 2	10
The Hasse principle for random Fano hypersurfaces	10
Wilkie's conjecture for Pfaffian structures	10
Erratum: A corrected proof of the scale recurrence lemma from the paper ``Stable intersections of regular Cantor sets with large Hausdorff dimensions"	10
Doubling constructions: Global functoriality for non-generic cuspidal representations	10
Regularity of minimal surfaces near quadratic cones	9
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	9
High rank invariant subvarieties	9
On the coherence of one-relator groups and their group algebras	9
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds	8
Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"	7
Pointwise convergence of the non-linear Fourier transform	7
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension	7
One can hear the shape of ellipses of small eccentricity	7
Transversality and super-rigidity for multiply covered holomorphic curves	7
Proof of the satisfiability conjecture for large $k$	7
The $P=W$ conjecture for $\mathrm{GL}_n$	7
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	6
The asymptotics of r(4,t)	6
Galois sections and p-adic period mappings	6
Thresholds versus fractional expectation-thresholds	6
On the Hofer-Zehnder conjecture	6
Nonlinear inviscid damping for a class of monotone shear flows in a finite channel	6
The rectangular peg problem	6
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	5
Parabolicity conjecture of $F$-isocrystals	5
Affine Beilinson-Bernstein localization at the critical level	5
Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$	5
Erratum to "On the averaged Colmez conjecture"	5
Infinite volume and infinite injectivity radius	5
Equiangular lines with a fixed angle	4
On $L^\infty$ estimates for fully non-linear partial differential equations	4
Functions on the commuting stack via Langlands duality	4
A counterexample to the unit conjecture for group rings	4
Polynomial structure of Gromov–Witten potential of quintic 3-folds	4
On the generic part of the cohomology of non-compact unitary Shimura varieties	4
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two	4
Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid	4

Canonical representations of surface groups