OOIR: Observatory of International Research

Papers

(The median citation count of Annals of Mathematics is 2. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Pointwise convergence of the non-linear Fourier transform	75
Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families	69
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two	53
The $P=W$ conjecture for $\mathrm{GL}_n$	52
A proof of Carleson's $\varepsilon^2$-conjecture	45
Global regularity for the Monge-Ampère equation with natural boundary condition	44
A non-hypergeometric E-function	27
A negative answer to Ulam's Problem 19 from the Scottish Book	26
The asymptotics of r(4,t)	25
The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus	24
Erratum to "Disparity in Selmer ranks of quadratic twists of elliptic curves"	24
Higher uniformity of bounded multiplicative functions in short intervals on average	21
A general Cayley correspondence and higher rank Teichmüller spaces	21
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below	20
Transversality and super-rigidity for multiply covered holomorphic curves	19
Thresholds versus fractional expectation-thresholds	19
On $L^\infty$ estimates for fully non-linear partial differential equations	18
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	16
Feral curves and minimal sets	13
The stable Adams conjecture and higher associative structures on Moore spectra	12
Equiangular lines with a fixed angle	12
Arithmeticity, superrigidity, and totally geodesic submanifolds	11
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	10
Improved bounds for the sunflower lemma	10
Erratum to "Topological central extensions of semi-simple groups over local fields" by Gopal Prasad and M. S. Raghunathan	10

Nonlinear inviscid damping for a class of monotone shear flows in a finite channel	10
A proof of the Erdős--Faber--Lovász conjecture	9
Brauer's Height Zero Conjecture	9
The Chow $t$-structure on the $\infty$-category of motivic spectra	9
The threshold conjecture for the energy critical hyperbolic Yang–Mills equation	9
Rigid local systems and the multiplicative eigenvalue problem	9
Pseudorandom sets in Grassmann graph have near-perfect expansion	9
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge	9
Uniformity in Mordell–Lang for curves	8
On $L^\infty$ estimates for complex Monge-Ampère equations	8
Spectral interpretations of dynamical degrees and applications	7
Redshift and multiplication for truncated Brown--Peterson spectra	7
Keel's base point free theorem and quotients in mixed characteristic	7
Microlocal Morse theory of wrapped Fukaya categories	7
Algebraic integers with conjugates in a prescribed distribution	7
Galois sections and p-adic period mappings	7
Purity for flat cohomology	7
Polynomial structure of Gromov–Witten potential of quintic 3-folds	7
Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid	7
High-girth Steiner triple systems	6
Bias in cubic Gauss sums: Patterson's conjecture	6
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	6
Affine Beilinson-Bernstein localization at the critical level for $\mathrm{GL}_2$	5
Erratum to "Special subvarieties of non-arithmetic ball quotients and Hodge theory"	5
Near optimal spectral gaps for hyperbolic surfaces	5
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra	5
Universality for lozenge tiling local statistics	5
Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T)	5
Compact moduli of K3 surfaces	5
Erratum: A corrected proof of the scale recurrence lemma from the paper ``Stable intersections of regular Cantor sets with large Hausdorff dimensions"	4
Doubling constructions: Global functoriality for non-generic cuspidal representations	4
Special subvarieties of non-arithmetic ball quotients and Hodge theory	4
Nonabelian level structures, Nielsen equivalence, and Markoff triples	4
The rectangular peg problem	4
Wilkie's conjecture for Pfaffian structures	4
On the Hofer-Zehnder conjecture	4
On property (T) for $\mathrm{Aut}(F_n)$ and $\mathrm{SL}_n(\mathbb{Z})$	3
Lebesgue measure of Feigenbaum Julia sets	3
Existence of infinitely many minimal hypersurfaces in closed manifolds	3
Sharp bounds for multiplicities of Bianchi modular forms	3
Characterizing finitely generated fields by a single field axiom	3
Infinitely many Lagrangian fillings	3
Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture	3
Smooth mixing Anosov flows in dimension three are exponentially mixing	2
Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models	2
The optimal paper Moebius band	2
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes	2
Rough solutions of the 3-D compressible Euler equations	2
Comptage des systémes locaux ℓ-adiques sur une courbe	2
Infinite volume and infinite injectivity radius	2

Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$	2
Martin's Maximum${}^{++}$ implies Woodin's axiom $(*)$	2
Parabolicity conjecture of $F$-isocrystals	2
High rank invariant subvarieties	2
Erratum: "Topology of homology manifolds"	2
Prisms and prismatic cohomology	2
The local-global conjecture for Apollonian circle packings is false	2
The Hasse principle for random Fano hypersurfaces	2
A reverse Minkowski theorem	2