OOIR: Observatory of International Research

Papers

(The median citation count of Bulletin of the American Mathematical Society is 0. 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
A survey of mass partitions	11
Geometric hydrodynamics and infinite-dimensional Newton’s equations	11
The Atiyah–Singer index theorem	9
Helly-type problems	7
Geometry, analysis, and morphogenesis: Problems and prospects	7
Local well-posedness for quasi-linear problems: A primer	7
Modeling the cardiac electromechanical function: A mathematical journey	6
Varieties of mathematical understanding	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
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
Exploring the toolkit of Jean Bourgain	3
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
Some thoughts on automation and mathematical research	2
Harold Widom’s work in Toeplitz operators	2
Stable black holes: in vacuum and beyond	2
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
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: Nonlinear Dirac equations: Spectral stability of solitary waves	0
Book Review: Singularities of mappings: The local behaviour of smooth and complex analytic mappings	0
Yuri Ivanovich Manin, An extraordinary mathematician	0
	0
Poincaré on the value of reasoning machines	0
	0
Morawetz’s contributions to the mathematical theory of transonic flows, shock waves, and partial differential equations of mixed type	0
Classification of rational angles in plane lattices	0
Lagrangian, game theoretic, and PDE methods for averaging G-equations in turbulent combustion: existence and beyond	0
A stroll around the critical Potts model	0
[untitled]	0
Corrigendum to “Stable black holes: In vacuum and beyond”	0
	0
	0
Proof in the time of machines	0
Will machines change mathematics?	0
Book Review: Continuous semigroups of holomorphic self-maps of the unit disc	0
Book Review: Nilpotent structures in ergodic theory	0
Book Review: Elements of $\infty $-categories	0
	0
Book Review: Mathematical theory of scattering resonances	0
	0
Book Review: Modern analysis of automorphic forms by example. Vol. 1; Modern analysis of automorphic forms by example. Vol. 2	0
Book Review: Algebraic statistics	0
	0

Automated mathematics and the reconfiguration of proof and labor	0
How machines can make mathematics more congressive	0
Book Review: Coarse geometry of topological groups	0
Algebraic solutions of linear differential equations: An arithmetic approach	0
Book Review: Potential theory and geometry on Lie groups	0
About Emmy Noether	0
Functoriality in categorical symplectic geometry	0
Bourgain’s work in Fourier restriction	0
Compositional sparsity of learnable functions	0
Book Review: Invitation to nonlinear algebra	0
About the Cover: Eduard Helly	0
Book Review: Group actions in ergodic theory, geometry, and topology: Selected papers	0
AlephZero and mathematical experience	0
In Memoriam: John H. Conway	0
Commentary	0
	0
	0
From sphere packing to Fourier interpolation	0
	0
Mathematical reasoning and the computer	0
Nirenberg’s contributions to linear partial differential equations: Pseudo-differential operators and solvability	0
Book Review: Function theory and $\ell ^p$ spaces	0
Book Review: Invitation to partial differential equations	0
	0
Book Review: Complex algebraic threefolds	0
Book Review: Geometric relativity	0
Book Review: Accuracy of mathematical models: Dimension reduction, homogenization, and simplification	0
Book Review: Regularity Theory for Elliptic PDE	0
Book Review: Amenability of discrete groups by examples	0
	0
Getting a handle on the Conway knot	0
Book Review: Organized collapse: An introduction to discrete Morse theory	0
Book Review: Tensor products of C*-algebras and operator spaces	0
The American Mathematical Society and Applied Mathematics from the 1920s to the 1950s: A Revisionist Account	0
[untitled]	0
	0
Proofs for a price: Tomorrow’s ultra-rigorous mathematical culture	0
Book Review: Topological methods in hydrodynamics	0
	0
The legacy of Vaughan Jones in ??₁ factors	0
Introduction to the Atiyah issue	0
The Marquise du Châtelet: Aristocrat and Mathematician	0
Missing digits and good approximations	0
Book Review: Extrinsic geometric flows	0
Machine Learning and Information Theory Concepts towards an AI Mathematician	0
Will machines change mathematics?	0
Automation compels mathematicians to reflect on our values	0
Book Review: Sobolev and viscosity solutions for fully nonlinear elliptic and parabolic equations	0
Book Review: The Cremona group and its subgroups	0
	0
F. S. Macaulay: From plane curves to Gorenstein rings	0
Book Review: The Bellman function technique in harmonic analysis	0
Book Review: A course on rough paths: With an introduction to regularity structures; Second edition	0
An appreciation of Jean Bourgain’s work	0
Spectral theory and self-similar blowup in wave equations	0
	0
Harold Widom Tribute	0
Working with machines in mathematics	0
Book Review: The random matrix theory of the classical compact groups	0
A note from the chief editor	0
Book Review: The distribution of prime numbers	0