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 2020-04-01 to 2024-04-01.)

Article	Citations
Integer multiplication in time $O(n\mathrm{log}\, n)$	63
Singularities of linear systems and boundedness of Fano varieties	56
Lorentzian polynomials	50
The energy of dilute Bose gases	46
Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models	43
A minimizing valuation is quasi-monomial	39
Finite generation for valuations computing stability thresholds and applications to K-stability	37
Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$	36
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	33
On the Multiplicity One Conjecture in min-max theory	32
A sharp square function estimate for the cone in $\mathbb{R}^3$	27
A Luna étale slice theorem for algebraic stacks	24
The Weyl bound for Dirichlet $L$-functions of cube-free conductor	24
Absolute profinite rigidity and hyperbolic geometry	21
Thresholds versus fractional expectation-thresholds	21
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below	21
On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles	20
Uniqueness of two-convex closed ancient solutions to the mean curvature flow	20
On the Duffin-Schaeffer conjecture	19
On the implosion of a compressible fluid II: Singularity formation	18
Uniform Manin-Mumford for a family of genus 2 curves	18
Prisms and prismatic cohomology	18
Universal optimality of the $E_8$ and Leech lattices and interpolation formulas	17
Improved bounds for the sunflower lemma	16
Equiangular lines with a fixed angle	16

On positivity of the CM line bundle on K-moduli spaces	16
Uniformity in Mordell–Lang for curves	15
$L^2$ curvature bounds on manifolds with bounded Ricci curvature	15
The spread of a finite group	14
Types for tame $p$-adic groups	12
A counterexample to the unit conjecture for group rings	12
Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem	12
Measures of maximal entropy for surface diffeomorphisms	12
Highly connected 7-manifolds and non-negative sectional curvature	11
Subalgebras of simple AF-algebras	11
Rademacher type and Enflo type coincide	10
The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables	10
Unitriangular shape of decomposition matrices of unipotent blocks	10
Weil representation and Arithmetic Fundamental Lemma	9
Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups	8
Speed of random walks, isoperimetry and compression of finitely generated groups	8
Infinitely many Lagrangian fillings	8
Chow groups and L-derivatives of automorphic motives for unitary groups	8
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra	8
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge	8
The Polynomial Carleson operator	8
Existence of infinitely many minimal hypersurfaces in closed manifolds	8
On the Chowla and twin primes conjectures over $\mathbb{F}_q[T]$	8
Enumerating number fields	7
Martin's Maximum${}^{++}$ implies Woodin's axiom $(*)$	7
Pointwise ergodic theorems for non-conventional bilinear polynomial averages	7
Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers	7
Potential automorphy over CM fields	7
On the Brumer--Stark conjecture	7
Arithmeticity, superrigidity, and totally geodesic submanifolds	7
Proof of the satisfiability conjecture for large $k$	6
Rubin's conjecture on local units in the anticyclotomic tower at inert primes	6
A geometric version of the circle method	6
A positive characterization of rational maps	6
Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture	6
Keel's base point free theorem and quotients in mixed characteristic	6
The Gaussian Double-Bubble and Multi-Bubble Conjectures	6
Arthur parameters and cuspidal automorphic modules of classical groups	6
The rectangular peg problem	6
On the Hofer-Zehnder conjecture	5
Global regularity for the Monge-Ampère equation with natural boundary condition	5
Lebesgue measure of Feigenbaum Julia sets	5
Spectral interpretations of dynamical degrees and applications	5
Lie algebras and $v_n$-periodic spaces	5
Flat Littlewood polynomials exist	5
On $L^\infty$ estimates for complex Monge-Ampère equations	5
Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ	5
Strong generators in $\mathbf{D}^{\mathrm{perf}}(X)$ and $\mathbf{D}^b_{\mathrm{coh}}(X)$	4
On property (T) for $\mathrm{Aut}(F_n)$ and $\mathrm{SL}_n(\mathbb{Z})$	4
On Frobenius exact symmetric tensor categories	4

A non-hypergeometric E-function	4
Near optimal spectral gaps for hyperbolic surfaces	4