OOIR: Observatory of International Research

Papers

(The TQCC of Bulletin of the American Mathematical Society is 1. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra	46
Convex integration constructions in hydrodynamics	21
The uncertainty principle: Variations on a theme	16
Moving boundary problems	13
Geometric hydrodynamics and infinite-dimensional Newton’s equations	10
The Atiyah–Singer index theorem	9
A survey of mass partitions	8
And yet it moves: Paradoxically moving linkages in kinematics	5
Analysis and applications: The mathematical work of Elias Stein	5
Helly-type problems	5
Geometry, analysis, and morphogenesis: Problems and prospects	4
Dynamical versions of Hardy’s uncertainty principle: A survey	4
Local well-posedness for quasi-linear problems: A primer	4
Varieties of mathematical understanding	4
Modeling the cardiac electromechanical function: A mathematical journey	4
On the resolution of the sensitivity conjecture	3
Atiyah’s work on holomorphic vector bundles and gauge theories	3
The Connes embedding problem: A guided tour	3
Swarming: hydrodynamic alignment with pressure	3
Harold Widom’s work in random matrix theory	3
Exploring the toolkit of Jean Bourgain	2
Embedding ℚ into a finitely presented group	2
Stable black holes: in vacuum and beyond	2
Book Review: Wigner-type theorems for Hilbert Grassmannians	2
Harold Widom’s work in Toeplitz operators	2

Geometry, inference, complexity, and democracy	2
Probabilistic view of voting, paradoxes, and manipulation	2
Mathematics, word problems, common sense, and artificial intelligence	2
Subfactors and mathematical physics	2
Michael Atiyah’s work in algebraic topology	2
Sunflowers: from soil to oil	1
On Katznelson’s Question for skew-product systems	1
Book Review: Hochschild cohomology for algebras	1
Is deep learning a useful tool for the pure mathematician?	1
Geometries of topological groups	1
Strange new universes: Proof assistants and synthetic foundations	1
Hilbert 13: Are there any genuine continuous multivariate real-valued functions?	1
Book Review: Introduction to approximate groups	1
Categorical lifting of the Jones polynomial: a survey	1
The Jones polynomial, Knots, diagrams, and categories	1
A $p$-adic approach to rational points on curves	1
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra	1
The algebro-geometric method: Solving algebraic differential equations by parametrizations	1
The legacy of Jean Bourgain in geometric functional analysis	1