OOIR: Observatory of International Research

Papers

(The median citation count of Annals of Mathematics is 3. 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 2021-06-01 to 2025-06-01.)

Article	Citations
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	77
Feral curves and minimal sets	72
A proof of Carleson's $\varepsilon^2$-conjecture	64
The stable Adams conjecture and higher associative structures on Moore spectra	59
The endoscopic fundamental lemma for unitary Friedberg--Jacquet periods	42
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	40
De Rham algebras of closed quasiregularly elliptic manifolds are Euclidean	38
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge	35
Redshift and multiplication for truncated Brown--Peterson spectra	27
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	26
Purity for flat cohomology	26
Infinitely many Lagrangian fillings	24
The local-global conjecture for Apollonian circle packings is false	19
Special subvarieties of non-arithmetic ball quotients and Hodge theory	17
A reverse Minkowski theorem	16
Existence of infinitely many minimal hypersurfaces in closed manifolds	16
Prime number theorem for analytic skew products	14
Complete classification of global solutions to the obstacle problem	14
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	14
The Gaussian Double-Bubble and Multi-Bubble Conjectures	14
Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios	13
Potential automorphy over CM fields	13
Measures of maximal entropy for surface diffeomorphisms	13
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	13
Higher uniformity of bounded multiplicative functions in short intervals on average	12

Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves	12
Global regularity for the Monge-Ampère equation with natural boundary condition	12
Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families	11
A non-hypergeometric E-function	11
The Chow $t$-structure on the $\infty$-category of motivic spectra	10
Uniformity in Mordell–Lang for curves	10
Rigid local systems and the multiplicative eigenvalue problem	10
On a conjecture of Marton	10
Improved bounds for the sunflower lemma	10
Wilkie's conjecture for Pfaffian structures	9
Sharp bounds for multiplicities of Bianchi modular forms	9
Compact moduli of K3 surfaces	9
Erratum: A corrected proof of the scale recurrence lemma from the paper ``Stable intersections of regular Cantor sets with large Hausdorff dimensions"	9
The Alperin--McKay and Brauer's height zero conjecture for the prime 2	9
Characterizing finitely generated fields by a single field axiom	9
Regularity of minimal surfaces near quadratic cones	8
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	8
On the coherence of one-relator groups and their group algebras	8
The Hasse principle for random Fano hypersurfaces	8
High rank invariant subvarieties	8
Doubling constructions: Global functoriality for non-generic cuspidal representations	8
One can hear the shape of ellipses of small eccentricity	7
Flat pushforwards of Chern classes and the smoothability of cycles below the middle dimension	7
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds	7
Proof of the satisfiability conjecture for large $k$	7
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	6
Transversality and super-rigidity for multiply covered holomorphic curves	6
Pointwise convergence of the non-linear Fourier transform	6
Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"	6
The $P=W$ conjecture for $\mathrm{GL}_n$	6
Thresholds versus fractional expectation-thresholds	5
Nonlinear inviscid damping for a class of monotone shear flows in a finite channel	5
The asymptotics of r(4,t)	5
Infinite volume and infinite injectivity radius	5
Galois sections and p-adic period mappings	5
On the Hofer-Zehnder conjecture	5
Parabolicity conjecture of $F$-isocrystals	4
Functions on the commuting stack via Langlands duality	4
Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$	4
Erratum to "On the averaged Colmez conjecture"	4
Canonical representations of surface groups	4
Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models	4
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	4
Affine Beilinson-Bernstein localization at the critical level	4
The rectangular peg problem	4
On $L^\infty$ estimates for fully non-linear partial differential equations	3
Polynomial structure of Gromov–Witten potential of quintic 3-folds	3
Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid	3
Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T)	3
Bias in cubic Gauss sums: Patterson's conjecture	3

Equiangular lines with a fixed angle	3
On the generic part of the cohomology of non-compact unitary Shimura varieties	3
Brauer's Height Zero Conjecture	3
Spectral interpretations of dynamical degrees and applications	3
A counterexample to the unit conjecture for group rings	3
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two	3
High-girth Steiner triple systems	3
Erratum: "Topology of homology manifolds"	3