OOIR: Observatory of International Research

Papers

(The TQCC of Memoirs of the American Mathematical Society is 3. 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 2022-08-01 to 2026-08-01.)

Article	Citations
The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups	35
Primes as Sums of Fibonacci Numbers	32
Leavitt Path Algebras, ????_{∞}-Algebras and Keller’s Conjecture for Singular Hochschild Ccohomology	18
Global Existence of Small Amplitude Solutions for a Model Quadratic Quasilinear Coupled Wave-Klein-Gordon System in Two Space Dimension, with Mildly Decaying Cauchy Data	15
Differential Galois Groups, Specializations, and Matzat’s Conjecture	15
A Para-Controlled Approach to the Stochastic Yang-Mills Equation in Two Dimensions	13
The Motivic Anabelian Geometry of Local Heights on Abelian Varieties	12
Uniqueness of Exact Borel Subalgebras and Bocses	11
KAM Theory for Active Scalar Equations	10
Intrinsic Approach to Galois Theory of ????-Difference Equations	10
The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces	10
Weight Multiplicities and Young Tableaux Through Affine Crystals	10
Free Energy and Equilibrium States for Families of Interval Maps	9
On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations	9
On the Problem of Infinite Spin in Total Collisions of the Planar ????-Body Problem	9
Vector Calculus for Tamed Dirichlet Spaces	7
????-Global Homotopy Theory and Algebraic ????-Theory	7
Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity	7
Towers and the First-order Theories of Hyperbolic Groups	7
Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type ????_{????}	6
Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature	6
Congruence Lattices of Ideals in Categories and (Partial) Semigroups	6
Fundamental Factorization of a GLSM Part I: Construction	6
Capillary Gravity Water Waves Linearized at Monotone Shear Flows: Eigenvalues and Inviscid Damping	6
Twistors, Quartics, and del Pezzo Fibrations	6

RoCK Blocks for Double Covers of Symmetric Groups and Quiver Hecke Superalgebras	6
McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential	6
Semi-Infinite Highest Weight Categories	6
Sharp Bound on Abelian Automorphism Groups of Surfaces of General Type	6
Rough Collisions	6
Internal Modes and Radiation Damping for Quadratic Klein-Gordon in 3d	6
Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds	5
Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group	5
Toric Periods and ????-adic Families of Modular Forms of Half-Integral Weight	5
Derivation of the Wave Kinetic Equation: Full Range of Scaling Laws	5
Overlapping Iterated Function Systems from the Perspective of Metric Number Theory	5
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations	5
Non-Free Sections of Fano Fibrations	5
When the Lower Central Series Stops: A Comprehensive Study for Braid Groups and Their Relatives	5
On Hydrodynamic Limits of the Vlasov–Navier–Stokes System	5
Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity	5
The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman–Thompson Groups ????_{????,????}	5
Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation	5
SO₀(2,h+1)-Maximal Representations and Hyperbolic Surfaces	5
Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation	4
Gaitsgory’s Central Sheaves via the Diagrammatic Hecke Category	4
Mixed Hodge Structures on Alexander Modules	4
Quaternary Quartic Forms and Gorenstein Rings	4
Stabilizations of ????_{∞} Operads and ????-Adic Stable Homotopy Theory	4
Harmonic Analysis and Gamma Functions on Symplectic Groups	4
A Comparison Theorem for Semi-Abelian Schemes over a Smooth Curve	4
Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit	4
Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition	4
Higher Airy Structures, ???? Algebras and Topological Recursion	4
Geodesics in the Brownian Map: Strong Confluence and Geometric Structure	4
Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation	4
Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces	4
Purity and Separation for Oriented Matroids	4
Weak Solutions to the Master Equation of Potential Mean Field Games	4
Adams Spectral Sequences and Franke’s Algebraicity Conjecture	4
Normed Amenability and Bounded Cohomology over Non-Archimedean Fields	4
Law of the Iterated Logarithm for ????/2-Permanental Processes and the Local Times of Related Markov Processes	4
Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space	3
The Univalence Principle	3
Multi-scale Sparse Domination	3
Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime	3
The Asymptotic Geometry of G₂-Monopoles	3
The Splitting Theorem in Non-Smooth Context	3
The Poisson Linearization Problem for ????????₂(ℂ)	3
Spiral Waves: Linear and Nonlinear Theory	3
The Classification of Subfactors with Index at Most 5\frac{1}4	3
The Second Moment Theory of Families of ????-Functions–The Case of Twisted Hecke ????-Functions	3
Generic Stabilizers in Actions of Simple Algebraic Groups	3
Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures	3
Derived Projectivizations of Complexes	3

Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints	3
Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems	3
Wave Equations on Silent Big Bang Backgrounds	3
The Existence of Designs via Iterative Absorption: Hypergraph ????-designs for Arbitrary ????	3
Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster	3
Infinitely Many Pairs of Free Boundary Minimal Surfaces with the Same Topology and Symmetry Group	3
The Regularity of the Linear Drift in Negatively Curved Spaces	3
Fukaya ????_{∞}-Structures Associated to Lefschetz Fibrations. VI	3