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 2020-11-01 to 2024-11-01.)

Article	Citations
Dualizable tensor categories	19
Elliptic Theory for Sets with Higher Co-dimensional Boundaries	12
Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs	11
Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation	11
Local ?^{?}-Brunn–Minkowski inequalities for ?<1	10
Stability of heat kernel estimates for symmetric non-local Dirichlet forms	10
A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations	9
Non-kissing complexes and tau-tilting for gentle algebras	8
Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equation	8
A Probabilistic Approach to Classical Solutions of the Master Equation for Large Population Equilibria	8
Linear dynamical systems on Hilbert spaces: typical properties and explicit examples	8
Spectral expansions of non-self-adjoint generalized Laguerre semigroups	7
Model theory of ?*-algebras	7
The Existence of Designs via Iterative Absorption: Hypergraph ?-designs for Arbitrary ?	7
The canonical ring of a stacky curve	6
Weakly Modular Graphs and Nonpositive Curvature	6
Bounded Littlewood identities	6
Theta functions on varieties with effective anti-canonical class	6
Hardy–Littlewood and Ulyanov inequalities	6
Cohomological Tensor Functors on Representations of the General Linear Supergroup	6
Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations	5
Hypergeometric functions over finite fields	5
The Irreducible Subgroups of Exceptional Algebraic Groups	5
Naturality and Mapping Class Groups in Heegaard Floer Homology	5
Tensor Categories for Vertex Operator Superalgebra Extensions	5

Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case	5
Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies	5
Hopf Monoids and Generalized Permutahedra	4
Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume	4
Affine Hecke algebras and quantum symmetric pairs	4
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups	4
Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry	4
On finite GK-dimensional Nichols algebras over abelian groups	4
Tunneling estimates and approximate controllability for hypoelliptic equations	4
Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity	4
On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function	4
Semi-Infinite Highest Weight Categories	4
Ergodicity of Markov Processes via Nonstandard Analysis	4
Symbolic Extensions of Amenable Group Actions and the Comparison Property	4
Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties	4
The Classification of Subfactors with Index at Most 5\frac{1}4	3
Singular integrals in quantum Euclidean spaces	3
Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits	3
Arthur packets for ?-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples	3
Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity	3
Decorated Dyck Paths, Polyominoes, and the Delta Conjecture	3
Archimedean zeta integrals for ??(3)×??(2)	3
The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity	3
The ?(?)₂ Model on de Sitter Space	3
Smooth Homotopy of Infinite-Dimensional ?^{∞}-Manifolds	3
Non-semisimple extended topological quantum field theories	3
Asymptotic Counting in Conformal Dynamical Systems	3
Classification of ?_{∞}-Stable ?*-Algebras	3
On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability	3
Embeddings of Decomposition Spaces	2
Effective faithful tropicalizations associated to linear systems on curves	2
Local dynamics of non-invertible maps near normal surface singularities	2
Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models	2
Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals	2
Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary	2
Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients	2
On Singular Vortex Patches, I: Well-posedness Issues	2
Multi-scale Sparse Domination	2
Type II Blow Up Solutions with Optimal Stability Properties for the Critical Focussing Nonlinear Wave Equation on ℝ³⁺¹	2
The Yang-Mills heat equation with finite action in three dimensions	2
One-Dimensional Dyadic Wavelets	2
Cluster algebra structures on Poisson nilpotent algebras	2
The Second Moment Theory of Families of ?-Functions–The Case of Twisted Hecke ?-Functions	2
Positive Gaussian Kernels also Have Gaussian Minimizers	2
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	2
Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1)	2
Hamiltonian perturbation theory for ultra-differentiable functions	2
Spiral Waves: Linear and Nonlinear Theory	2
Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians	2
The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces	2

Resolvent, heat kernel, and torsion under degeneration to fibered cusps	2
Souslin quasi-orders and bi-embeddability of uncountable structures	1
Fundamental Factorization of a GLSM Part I: Construction	1
Intense Automorphisms of Finite Groups	1
Maximal ???₂ Subgroups of Exceptional Groups of Lie Type	1
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations	1
Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting	1
Representation Theory of Geigle-Lenzing Complete Intersections	1
Local Coefficients and Gamma Factors for Principal Series of Covering Groups	1
Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation	1
Galois and cleft monoidal cowreaths. Applications	1
Transition Threshold for the 3D Couette Flow in a Finite Channel	1
Homotopy Fibrations with a Section After Looping	1
Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity	1
On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type	1
Conformal symmetry breaking differential operators on differential forms	1
Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs	1
Cubic Action of a Rank one Group	1
Congruence Lattices of Ideals in Categories and (Partial) Semigroups	1
Tits polygons	1
Overlapping Iterated Function Systems from the Perspective of Metric Number Theory	1
Partial Compactification of Monopoles and Metric Asymptotics	1
Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume	1
On the symplectic type of isomorphisms of the ?-torsion of elliptic curves	1
Multiplicative Invariant Fields of Dimension ≤6	1
Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity	1
Comparison of Relatively Unipotent Log de Rham Fundamental Groups	1
Existence of unimodular triangulations — positive results	1
Goodwillie Approximations to Higher Categories	1
Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions	1
On Refined Conjectures of Birch and Swinnerton-Dyer type for Hasse–Weil–Artin ?-Series	1
Fine Compactified Moduli of Enriched Structures on Stable Curves	1
Global Regularity for Gravity Unstable Muskat Bubbles	1
Abelian networks IV. Dynamics of nonhalting networks	1
Unitarizability in Corank Three for Classical ?-adic Groups	1
Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of ???(?_{?})	1
Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints	1
Planar Algebras in Braided Tensor Categories	1
Floer cohomology and flips	1
Potential Estimates and Quasilinear Parabolic Equations with Measure Data	1
Tate Duality in Positive Dimension over Function Fields	1
Cubical Models of (∞,1)-Categories	1
Higher Airy Structures, ? Algebras and Topological Recursion	1
Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation	1
The Slice Spectral Sequence of a ?₄-Equivariant Height-4 Lubin–Tate Theory	1
Mixed Hodge Structures on Alexander Modules	1
Euclidean Structures and Operator Theory in Banach Spaces	1
Analyticity Results in Bernoulli Percolation	1
On the Boundary Behavior of Mass-Minimizing Integral Currents	1
Dyadic-probabilistic methods in bilinear analysis	1
Isoperimetric inequalities in unbounded convex bodies	1