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 2021-06-01 to 2025-06-01.)

Article	Citations
Book Review: Coarse geometry of topological groups	14
	13
On Katznelson’s Question for skew-product systems	12
Subfactors and mathematical physics	12
The legacy of Vaughan Jones in ????????₁ factors	9
Harold Widom’s work in random matrix theory	8
How machines can make mathematics more congressive	7
Continued fractions in the field of ????-adic numbers	7
Spectral theory and self-similar blowup in wave equations	6
	4
Book Review: The Cremona group and its subgroups	4
Geometries of topological groups	4
AlephZero and mathematical experience	4
Embedding ℚ into a finitely presented group	4
Book Review: Potential theory and geometry on Lie groups	4
Is deep learning a useful tool for the pure mathematician?	4
The American Mathematical Society and Applied Mathematics from the 1920s to the 1950s: A Revisionist Account	3
Erratum for “Billiards and Teichmüller curves”	3
Book Review: Amenability of discrete groups by examples	3
	3
Book Review: Tensor products of C*-algebras and operator spaces	3
The Atiyah–Singer index theorem	2
From sum of two squares to arithmetic Siegel–Weil formulas	2
Book Review: The random matrix theory of the classical compact groups	2
The Ray–Singer torsion	2

Working with machines in mathematics	2
Poincaré on the value of reasoning machines	2
Caffarelli’s work on elliptic free boundary problems	2
	2
The Jones polynomial, Knots, diagrams, and categories	2
Book Review: A course on rough paths: With an introduction to regularity structures; Second edition	2
Book Review: Self-similar and Self-affine Sets and Measures	1
About Emmy Noether	1
Proof in the time of machines	1
Nirenberg’s contributions to linear partial differential equations: Pseudo-differential operators and solvability	1
Dynamical versions of Hardy’s uncertainty principle: A survey	1
Book Review: Wigner-type theorems for Hilbert Grassmannians	1
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra	1
A note from the chief editor	1
Book Review: The Bellman function technique in harmonic analysis	1
	1
Ogg’s torsion conjecture: Fifty years later	1
Harold Widom’s work in Toeplitz operators	0
	0
About the Cover: Eduard Helly	0
Sunflowers: from soil to oil	0
Geometric hydrodynamics and infinite-dimensional Newton’s equations	0
Abstraction boundaries and spec driven development in pure mathematics	0
	0
Six-vertex model and random matrix distributions	0
Mathematics and the formal turn	0
Modeling the cardiac electromechanical function: A mathematical journey	0
The algebro-geometric method: Solving algebraic differential equations by parametrizations	0
Book Review: Elements of $\infty $-categories	0
Algebraic solutions of linear differential equations: An arithmetic approach	0
Searching for (sharp) thresholds in random structures: Where are we now?	0
Commentary	0
A Celebration of Luis A. Caffarelli	0
Mathematical reasoning and the computer	0
Book Review: Topological methods in hydrodynamics	0
Hilbert meets Ramanujan: Singularity theory and integer partitions	0
Functoriality in categorical symplectic geometry	0
Helly-type problems	0
Proofs for a price: Tomorrow’s ultra-rigorous mathematical culture	0
The Dirac operator	0
Swarming: hydrodynamic alignment with pressure	0
The interpolation problem: When can you pass a curve of a given type through ???? random points in space?	0
Index theory on Pin manifolds	0
Getting a handle on the Conway knot	0
Michael Atiyah’s work in algebraic topology	0
Strange new universes: Proof assistants and synthetic foundations	0
Book Review: Singularities of mappings: The local behaviour of smooth and complex analytic mappings	0
Atiyah’s work on holomorphic vector bundles and gauge theories	0
Book Review: Regularity Theory for Elliptic PDE	0
Morawetz’s contributions to the mathematical theory of transonic flows, shock waves, and partial differential equations of mixed type	0

Missing digits and good approximations	0
Rectangles, curves, and Klein bottles	0
Book Review: Algebraic groups. The theory of group schemes of finite type over a field	0
Yuri Ivanovich Manin, An extraordinary mathematician	0
Categorical lifting of the Jones polynomial: a survey	0
	0
Will machines change mathematics?	0
Some thoughts on automation and mathematical research	0
Mathematics, word problems, common sense, and artificial intelligence	0
Machine Learning and Information Theory Concepts towards an AI Mathematician	0
Ray–Singer torsion, topological strings, and black holes	0
	0
A survey of the homology cobordism group	0
	0
Book Review: Dimension groups and dynamical systems	0
Probabilistic view of voting, paradoxes, and manipulation	0
Book Review: Invitation to partial differential equations	0
A stroll around the critical Potts model	0
	0
Book Review: The distribution of prime numbers	0
	0
Classification of rational angles in plane lattices	0
The isospectral problem for flat tori from three perspectives	0
Compositional sparsity of learnable functions	0
Will machines change mathematics?	0
Essence of independence: Hodge theory of matroids since June Huh	0
Automation compels mathematicians to reflect on our values	0
	0
Book Review: Invitation to nonlinear algebra	0
Introduction to Isadore Singer Memoriam	0
Book Review: Extrinsic geometric flows	0
Harold Widom Tribute	0
Book Review: Modern analysis of automorphic forms by example. Vol. 1; Modern analysis of automorphic forms by example. Vol. 2	0
Book Review: Continuous semigroups of holomorphic self-maps of the unit disc	0
Book Review: Complex algebraic threefolds	0
[untitled]	0
F. S. Macaulay: From plane curves to Gorenstein rings	0
Local well-posedness for quasi-linear problems: A primer	0
Introduction to the Atiyah issue	0
From sphere packing to Fourier interpolation	0
Geometry, analysis, and morphogenesis: Problems and prospects	0
	0
	0
Book Review: Accuracy of mathematical models: Dimension reduction, homogenization, and simplification	0
	0
The importance of Luis Caffarelli’s work in the study of fluids	0
Billiards and Teichmüller curves	0
The work of Luis Caffarelli on fully nonlinear elliptic PDEs	0
[untitled]	0
Automated mathematics and the reconfiguration of proof and labor	0
Stable black holes: in vacuum and beyond	0
The Connes embedding problem: A guided tour	0
The Marquise du Châtelet: Aristocrat and Mathematician	0
Corrigendum to “Stable black holes: In vacuum and beyond”	0
Lagrangian, game theoretic, and PDE methods for averaging G-equations in turbulent combustion: existence and beyond	0
Book Review: Group actions in ergodic theory, geometry, and topology: Selected papers	0