OOIR: Observatory of International Research

Papers

(The TQCC of Symmetry Integrability and Geometry-Methods and Applications 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 2021-02-01 to 2025-02-01.)

Article	Citations
Positive Intermediate Ricci Curvature on Fibre Bundles	15
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	15
The Laplace-Beltrami Operator on the Surface of the Ellipsoid	10
Intertwinings for Continuum Particle Systems: an Algebraic Approach	8
Scalar Curvature Rigidity of Warped Product Metrics	6
Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$	5
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	5
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential	5
On Scalar and Ricci Curvatures	4
From Orthocomplementations to Locality	4
The Primitive Derivation and Discrete Integrals	4
Oriented Closed Polyhedral Maps and the Kitaev Model	4
Degree-One Rational Cherednik Algebras for the Symmetric Group	4
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	4
Prescribed Riemannian Symmetries	3
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions	3
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket	3
Locality and General Vacua in Quantum Field Theory	3
Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian	3
Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry	3
A Composite Order Generalization of Modular Moonshine	2
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space	2
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	2
The Racah Algebra of Rank 2: Properties, Symmetries and Representation	2
Higher Braidings of Diagonal Type	2

New Techniques for Worldline Integration	2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials	2
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction	2
On the Total CR Twist of Transversal Curves in the 3-Sphere	2
Resurgence in the Transition Region: The Incomplete Gamma Function	2
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems	2
The Generalized Fibonacci Oscillator as an Open Quantum System	2
On the Fourth-Order Lattice Gel'fand-Dikii Equations	2
Equivariant Coarse (Co-)Homology Theories	2
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	2
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces	2
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg	2
Determinantal Formulas for Exceptional Orthogonal Polynomials	2
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	2
Optimal Transport and Generalized Ricci Flow	2
Connection Problem for an Extension of q-Hypergeometric Systems	2
A Quantum 0-infty Law	2
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres	2
Markovianity and the Thompson Group F	2
Nudged Elastic Bands and Lightly Bound Skyrmions	2
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces	2
Geometry of Gauged Skyrmions	2
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	2
Index Theory of Chiral Unitaries and Split-Step Quantum Walks	2
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	2
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	2
Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold	2
Universal Structures in C-Linear Enumerative Invariant Theories	2
A Note on the Spectrum of Magnetic Dirac Operators	1
Spinors, Twistors and Classical Geometry	1
Three Examples in the Dynamical Systems Theory	1
Spinors in Five-Dimensional Contact Geometry	1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	1
Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations	1
Topology of Almost Complex Structures on Six-Manifolds	1
Talbot Effect for the Manakov System on the Torus	1
Celestial w_1+∞ Symmetries from Twistor Space	1
On the Structure of Set-Theoretic Polygon Equations	1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	1
A Weierstrass Representation Formula for Discrete Harmonic Surfaces	1
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules	1
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	1
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	1
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics	1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	1
On Relative Tractor Bundles	1
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave	1
Algebraic Structures on Typed Decorated Rooted Trees	1
Post-Lie Magnus Expansion and BCH-Recursion	1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI	1

Exponential Networks, WKB and Topological String	1
Algebras of Non-Local Screenings and Diagonal Nichols Algebras	1
Non-Semisimple TQFT's and BPS q-Series	1
Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications	1
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras	1
Spin<sup>h</sup> Manifolds	1
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds	1
q-Selberg Integrals and Koornwinder Polynomials	1
Para-Bannai-Ito Polynomials	1
Resurgence of Refined Topological Strings and Dual Partition Functions	1
Dynamic Feedback Linearization of Control Systems with Symmetry	1
On Generalized WKB Expansion of Monodromy Generating Function	1
Holography of Higher Codimension Submanifolds: Riemannian and Conformal	1
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
Mapping Class Group Representations Derived from Stated Skein Algebras	1
Twistor Theory of Dancing Paths	1
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues	1
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function	1
Geometry of Integrable Systems Related to the Restricted Grassmannia	1
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	1
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	1
Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds	1
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: phi3 QFT in 6 Dimensions	1
The Weighted Ambient Metric	1
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras	1
Negative Times of the Davey-Stewartson Integrable Hierarchy	1
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	1
oundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties	1
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles	1
Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation	1
An Introduction to Motivic Feynman Integrals	1
The Cobb-Douglas Production Function and the Old Bowley's Law	1
Knots and Their Related $q$-Series	1
Co-Axial Metrics on the Sphere and Algebraic Numbers	1
From Twistor-Particle Models to Massive Amplitudes	1
A Skyrme Model with Novel Chiral Symmetry Breaking	1
On the Quantum K-Theory of the Quintic	1
The Gauge Group and Perturbation Semigroup of an Operator System	1
Adiabatic Limit, Theta Function, and Geometric Quantization	1
On the Hill Discriminant of Lamé's Differential Equation	1
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups	1
A Decomposition of Twisted Equivariant K-Theory	1
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems	1
The Modified Toda Hierarchy	1
Tau Function and Moduli of Meromorphic Quadratic Differential	1
Singularities of Schubert Varieties within a Right Cell	1
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	1
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics	1