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

Article	Citations
Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra	54
Convex integration constructions in hydrodynamics	27
The uncertainty principle: Variations on a theme	19
Geometric hydrodynamics and infinite-dimensional Newton’s equations	11
A survey of mass partitions	11
The Atiyah–Singer index theorem	9
Local well-posedness for quasi-linear problems: A primer	7
Helly-type problems	7
Geometry, analysis, and morphogenesis: Problems and prospects	7
Varieties of mathematical understanding	6
Modeling the cardiac electromechanical function: A mathematical journey	6
Swarming: hydrodynamic alignment with pressure	5
And yet it moves: Paradoxically moving linkages in kinematics	5
Dynamical versions of Hardy’s uncertainty principle: A survey	5
Is deep learning a useful tool for the pure mathematician?	4
Harold Widom’s work in random matrix theory	4
Exploring the toolkit of Jean Bourgain	3
The Connes embedding problem: A guided tour	3
Probabilistic view of voting, paradoxes, and manipulation	3
Embedding ℚ into a finitely presented group	3
The algebro-geometric method: Solving algebraic differential equations by parametrizations	3
Atiyah’s work on holomorphic vector bundles and gauge theories	3
Some thoughts on automation and mathematical research	2
Harold Widom’s work in Toeplitz operators	2
Stable black holes: in vacuum and beyond	2

Rectangles, curves, and Klein bottles	2
Book Review: Wigner-type theorems for Hilbert Grassmannians	2
Abstraction boundaries and spec driven development in pure mathematics	2
Michael Atiyah’s work in algebraic topology	2
Mathematics and the formal turn	2
Mathematics, word problems, common sense, and artificial intelligence	2
Subfactors and mathematical physics	2
Geometry, inference, complexity, and democracy	2
On the work of Jean Bourgain in nonlinear dispersive equations	1
The isospectral problem for flat tori from three perspectives	1
Essence of independence: Hodge theory of matroids since June Huh	1
On Katznelson’s Question for skew-product systems	1
Book Review: Introduction to approximate groups	1
Geometries of topological groups	1
The Jones polynomial, Knots, diagrams, and categories	1
Billiards and Teichmüller curves	1
Strange new universes: Proof assistants and synthetic foundations	1
Book Review: Hochschild cohomology for algebras	1
Categorical lifting of the Jones polynomial: a survey	1
Continued fractions in the field of ?-adic numbers	1
Sunflowers: from soil to oil	1
From sum of two squares to arithmetic Siegel–Weil formulas	1
A survey of the homology cobordism group	1
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra	1
The legacy of Jean Bourgain in geometric functional analysis	1