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 2022-06-01 to 2026-06-01.)

Article	Citations
The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups	32
Differential Galois Groups, Specializations, and Matzat’s Conjecture	30
A Para-Controlled Approach to the Stochastic Yang-Mills Equation in Two Dimensions	16
Primes as Sums of Fibonacci Numbers	15
Leavitt Path Algebras, ????_{∞}-Algebras and Keller’s Conjecture for Singular Hochschild Ccohomology	14
The Motivic Anabelian Geometry of Local Heights on Abelian Varieties	12
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	12
Uniqueness of Exact Borel Subalgebras and Bocses	11
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups	11
The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces	10
KAM Theory for Active Scalar Equations	10
Weight Multiplicities and Young Tableaux Through Affine Crystals	9
On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations	9
Free Energy and Equilibrium States for Families of Interval Maps	8
Coefficient Systems on the Bruhat-Tits Building and Pro-???? Iwahori-Hecke Modules	8
Intrinsic Approach to Galois Theory of ????-Difference Equations	8
Vector Calculus for Tamed Dirichlet Spaces	7
Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity	7
On the Problem of Infinite Spin in Total Collisions of the Planar ????-Body Problem	7
Cancellation for Surfaces Revisited	7
Capillary Gravity Water Waves Linearized at Monotone Shear Flows: Eigenvalues and Inviscid Damping	6
Twistors, Quartics, and del Pezzo Fibrations	6
????-Global Homotopy Theory and Algebraic ????-Theory	6
Internal Modes and Radiation Damping for Quadratic Klein-Gordon in 3d	6
Sharp Bound on Abelian Automorphism Groups of Surfaces of General Type	6

Semi-Infinite Highest Weight Categories	6
Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature	6
Towers and the First-order Theories of Hyperbolic Groups	6
Congruence Lattices of Ideals in Categories and (Partial) Semigroups	5
RoCK Blocks for Double Covers of Symmetric Groups and Quiver Hecke Superalgebras	5
Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds	5
Overlapping Iterated Function Systems from the Perspective of Metric Number Theory	5
Toric Periods and ????-adic Families of Modular Forms of Half-Integral Weight	5
Rough Collisions	5
McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential	5
Non-Free Sections of Fano Fibrations	5
On Hydrodynamic Limits of the Vlasov–Navier–Stokes System	5
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations	5
Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group	5
Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity	5
Fundamental Factorization of a GLSM Part I: Construction	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
When the Lower Central Series Stops: A Comprehensive Study for Braid Groups and Their Relatives	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
Geodesics in the Brownian Map: Strong Confluence and Geometric Structure	4
Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation	4
SO₀(2,h+1)-Maximal Representations and Hyperbolic Surfaces	4
Purity and Separation for Oriented Matroids	4
Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation	4
Normed Amenability and Bounded Cohomology over Non-Archimedean Fields	4
Weak Solutions to the Master Equation of Potential Mean Field Games	4
Derivation of the Wave Kinetic Equation: Full Range of Scaling Laws	4
Mixed Hodge Structures on Alexander Modules	4
Stabilizations of ????_{∞} Operads and ????-Adic Stable Homotopy Theory	4
Harmonic Analysis and Gamma Functions on Symplectic Groups	4
Law of the Iterated Logarithm for ????/2-Permanental Processes and the Local Times of Related Markov Processes	3
Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces	3
Gaitsgory’s Central Sheaves via the Diagrammatic Hecke Category	3
The Univalence Principle	3
The Splitting Theorem in Non-Smooth Context	3
The Classification of Subfactors with Index at Most 5\frac{1}4	3
Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures	3
Spiral Waves: Linear and Nonlinear Theory	3
Quaternary Quartic Forms and Gorenstein Rings	3
Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space	3
Derived Projectivizations of Complexes	3
Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems	3
Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster	3
The Poisson Linearization Problem for ????????₂(ℂ)	3
Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints	3
The Regularity of the Linear Drift in Negatively Curved Spaces	3
Higher Airy Structures, ???? Algebras and Topological Recursion	3
A Comparison Theorem for Semi-Abelian Schemes over a Smooth Curve	3

Fukaya ????_{∞}-Structures Associated to Lefschetz Fibrations. VI	3
Multi-scale Sparse Domination	3
Wave Equations on Silent Big Bang Backgrounds	3