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 2020-11-01 to 2024-11-01.)

Article	Citations
Integer multiplication in time $O(n\mathrm{log}\, n)$	75
Lorentzian polynomials	64
Singularities of linear systems and boundedness of Fano varieties	60
Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models	53
The energy of dilute Bose gases	52
Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$	52
Finite generation for valuations computing stability thresholds and applications to K-stability	45
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	44
On the Multiplicity One Conjecture in min-max theory	36
Thresholds versus fractional expectation-thresholds	27
On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles	26
Prisms and prismatic cohomology	25
On the implosion of a compressible fluid II: Singularity formation	24
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below	24
Absolute profinite rigidity and hyperbolic geometry	22
Improved bounds for the sunflower lemma	21
Equiangular lines with a fixed angle	21
Uniformity in Mordell–Lang for curves	19
Universal optimality of the $E_8$ and Leech lattices and interpolation formulas	19
On positivity of the CM line bundle on K-moduli spaces	19
The spread of a finite group	18
A counterexample to the unit conjecture for group rings	16
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	16
$L^2$ curvature bounds on manifolds with bounded Ricci curvature	16
Types for tame $p$-adic groups	14

Measures of maximal entropy for surface diffeomorphisms	13
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge	12
Weil representation and Arithmetic Fundamental Lemma	11
Infinitely many Lagrangian fillings	10
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra	10
Speed of random walks, isoperimetry and compression of finitely generated groups	10
Potential automorphy over CM fields	9
On the Brumer--Stark conjecture	9
Spectral interpretations of dynamical degrees and applications	9
Chow groups and L-derivatives of automorphic motives for unitary groups	9
Flat Littlewood polynomials exist	9
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	9
Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups	9
The Gaussian Double-Bubble and Multi-Bubble Conjectures	9
Existence of infinitely many minimal hypersurfaces in closed manifolds	9
Rubin's conjecture on local units in the anticyclotomic tower at inert primes	8
On $L^\infty$ estimates for complex Monge-Ampère equations	8
On the Hofer-Zehnder conjecture	8
Redshift and multiplication for truncated Brown--Peterson spectra	8
On Frobenius exact symmetric tensor categories	7
Martin's Maximum${}^{++}$ implies Woodin's axiom $(*)$	7
Keel's base point free theorem and quotients in mixed characteristic	7
Proof of the satisfiability conjecture for large $k$	7
Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture	7
Global regularity for the Monge-Ampère equation with natural boundary condition	7
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	7
The rectangular peg problem	7
Arithmeticity, superrigidity, and totally geodesic submanifolds	7
Lebesgue measure of Feigenbaum Julia sets	6
Near optimal spectral gaps for hyperbolic surfaces	6
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	6
Lie algebras and $v_n$-periodic spaces	6
On property (T) for $\mathrm{Aut}(F_n)$ and $\mathrm{SL}_n(\mathbb{Z})$	5
A non-hypergeometric E-function	5
Strong generators in $\mathbf{D}^{\mathrm{perf}}(X)$ and $\mathbf{D}^b_{\mathrm{coh}}(X)$	5
Purity for flat cohomology	5
A negative answer to Ulam's Problem 19 from the Scottish Book	5
Rough solutions of the 3-D compressible Euler equations	5
Log-concave polynomials II: High-dimensional walks and an FPRAS for counting bases of a matroid	5
One can hear the shape of ellipses of small eccentricity	4
Higher uniformity of bounded multiplicative functions in short intervals on average	4
Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios	4
Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T)	4
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations	4
The Chow $t$-structure on the $\infty$-category of motivic spectra	4
A proof of the Erdős--Faber--Lovász conjecture	3
Parabolicity conjecture of $F$-isocrystals	3
Special subvarieties of non-arithmetic ball quotients and Hodge theory	3
There is no Enriques surface over the integers	3
Universality for lozenge tiling local statistics	3

Pseudorandom sets in Grassmann graph have near-perfect expansion	3
Global group laws and equivariant bordism rings	3
Infinite volume and infinite injectivity radius	3