OOIR: Observatory of International Research

Papers

(The median citation count of Memoirs 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 2021-04-01 to 2025-04-01.)

Article	Citations
Equivariant Infinite Loop Space Theory: The Space Level Story	14
Primes as Sums of Fibonacci Numbers	13
Cataland: Why the Fuß?	12
The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman–Thompson Groups ????_{????,????}	11
Hypergeometric functions over finite fields	10
Smooth Homotopy of Infinite-Dimensional ????^{∞}-Manifolds	10
Multiplicative Invariant Fields of Dimension ≤6	10
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	9
Positive Gaussian Kernels also Have Gaussian Minimizers	9
Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters	8
Twistors, Quartics, and del Pezzo Fibrations	8
McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential	7
Overlapping Iterated Function Systems from the Perspective of Metric Number Theory	7
Embeddings of Decomposition Spaces	7
Planar Algebras in Braided Tensor Categories	6
Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity	6
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations	6
On Singular Vortex Patches, I: Well-posedness Issues	6
Fundamental Factorization of a GLSM Part I: Construction	6
Rough Collisions	5
On the symplectic type of isomorphisms of the ????-torsion of elliptic curves	5
Representation Theory of Geigle-Lenzing Complete Intersections	5
Primes in Arithmetic Progressions to Large Moduli III: Uniform Residue Classes	5
Local Coefficients and Gamma Factors for Principal Series of Covering Groups	4
Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field Regime	4

Theta functions on varieties with effective anti-canonical class	4
Model theory of ????*-algebras	4
Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of ????????????(????_{????})	4
Noncommutative Coordinates for Symplectic Representations	4
Generic Stabilizers in Actions of Simple Algebraic Groups	4
Tate Duality in Positive Dimension over Function Fields	4
Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D	4
The Existence of Designs via Iterative Absorption: Hypergraph ????-designs for Arbitrary ????	4
Unipotent Representations, Theta Correspondences, and Quantum Induction	4
Regularity with Respect to the Parameter of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting	4
Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity	4
Excluding a Line from Complex-Representable Matroids	3
Spectral expansions of non-self-adjoint generalized Laguerre semigroups	3
The Asymptotic Geometry of ????₂-Monopoles	3
Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation	3
Tensor Categories for Vertex Operator Superalgebra Extensions	3
Cubical Models of (∞,1)-Categories	3
Corrigendum and improvements to “Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations”, and its consequences	3
The Wave Equation with Acoustic Boundary Conditions on Non-Locally Reacting Surfaces	3
Stability of heat kernel estimates for symmetric non-local Dirichlet forms	3
Congruence Lattices of Ideals in Categories and (Partial) Semigroups	3
Lie Pseudogroups à la Cartan	3
Homotopy Fibrations with a Section After Looping	3
Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies	3
Cubic Action of a Rank one Group	2
Fine Compactified Moduli of Enriched Structures on Stable Curves	2
The ????(????)₂ Model on de Sitter Space	2
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups	2
Toric Periods and ????-adic Families of Modular Forms of Half-Integral Weight	2
Disjoint Optimizers and the Directed Landscape	2
Cluster algebra structures on Poisson nilpotent algebras	2
Motivic Euler Products and Motivic Height Zeta Functions	2
On the Boundary Behavior of Mass-Minimizing Integral Currents	2
Subset currents on surfaces	2
Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli	2
The Motivic Anabelian Geometry of Local Heights on Abelian Varieties	2
Asymptotic Analysis for Sacks-Uhlenbeck ????-Harmonic Maps From Degenerating Riemann Surfaces	2
Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions	2
Abelian networks IV. Dynamics of nonhalting networks	2
Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity	2
The Second Moment Theory of Families of ????-Functions–The Case of Twisted Hecke ????-Functions	2
On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability	2
Euclidean Structures and Operator Theory in Banach Spaces	2
Semitoric Families	2
Reconstructing orbit closures from their boundaries	2
Transition Threshold for the 3D Couette Flow in a Finite Channel	1
The Inductive Blockwise Alperin Weight Condition for the Chevalley Groups ????₄(????)	1
Goodwillie Approximations to Higher Categories	1
Drinfeld Modular Forms of Arbitrary Rank	1
Milliken’s Tree Theorem and Its Applications: A Computability-Theoretic Perspective	1

Purity and Separation for Oriented Matroids	1
The Representation Theory of the Increasing Monoid	1
Symbolic Extensions of Amenable Group Actions and the Comparison Property	1
Intrinsic Approach to Galois Theory of ????-Difference Equations	1
Solving ????-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture	1
Arthur packets for ????-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples	1
The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces	1
On the Size of the Singular Set of Minimizing Harmonic Maps	1
Stratified Noncommutative Geometry	1
The Slice Spectral Sequence of a ????₄-Equivariant Height-4 Lubin–Tate Theory	1
Steady Gradient Kähler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones	1
Arithmetic Quotients of the Bruhat-Tits Building for Projective General Linear Group in Positive Characteristic	1
Weight Multiplicities and Young Tableaux Through Affine Crystals	1
Coefficient Systems on the Bruhat-Tits Building and Pro-???? Iwahori-Hecke Modules	1
Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals	1
Eulerian Spaces	1
Deformation and Unobstructedness of Determinantal Schemes	1
Mixed Hodge Structures on Alexander Modules	1
Tunneling estimates and approximate controllability for hypoelliptic equations	1
Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension	1
Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation	1
Twisted Patterson-Sullivan Measures and Applications to Amenability and Coverings	1
On the Problem of Infinite Spin in Total Collisions of the Planar ????-Body Problem	1
Elliptic Theory for Sets with Higher Co-dimensional Boundaries	1
Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition	1
Naturality and Mapping Class Groups in Heegaard Floer Homology	1
On Singularity Properties of Word Maps and Applications to Probabilistic Waring Type Problems	1
Mackey Profunctors	1
Para-hyper-Kähler Geometry of the Deformation Space of Maximal Globally Hyperbolic Anti-de Sitter Three-Manifolds	1
Hamiltonicity of Random Subgraphs of the Hypercube	1
Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit	1
The Generation Problem in Thompson Group ????	1
Amenability and Weak Containment for Actions of Locally Compact Groups on ????*-Algebras	1
Free Energy and Equilibrium States for Families of Interval Maps	1
On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations	1
Automorphisms of Graph Products of Groups and Acylindrical Hyperbolicity	1
On Hydrodynamic Limits of the Vlasov–Navier–Stokes System	1
Isoperimetric inequalities in unbounded convex bodies	1
Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equation	1
Classification of ????_{∞}-Stable ????*-Algebras	1
On ????-adic ????-functions for Hilbert modular forms	1
Adiabatic Evolution and Shape Resonances	1