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 2021-11-01 to 2025-11-01.)

Article	Citations
Feral curves and minimal sets	85
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	75
The stable Adams conjecture and higher associative structures on Moore spectra	73
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	52
Redshift and multiplication for truncated Brown--Peterson spectra	51
Fractal uncertainty in higher dimensions	47
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$	35
Eisenstein–Kronecker classes, integrality of critical values of Hecke $L$-functions and $p$-adic interpolation	30
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	28
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	24
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	23
Purity for flat cohomology	23
The local-global conjecture for Apollonian circle packings is false	22
Existence of infinitely many minimal hypersurfaces in closed manifolds	21
Special subvarieties of non-arithmetic ball quotients and Hodge theory	21
Infinitely many Lagrangian fillings	18
A reverse Minkowski theorem	17
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	15
Prime number theorem for analytic skew products	15
Potential automorphy over CM fields	14
The Gaussian Double-Bubble and Multi-Bubble Conjectures	14
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves	14
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	14
Measures of maximal entropy for surface diffeomorphisms	14
Complete classification of global solutions to the obstacle problem	14

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

Bias in cubic Gauss sums: Patterson's conjecture	4
Weil-Petersson curves, $\beta$-numbers, and minimal surfaces	4