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

Article	Citations
Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index	26
Twisted Fusion Products and Quantum Twisted $Q$-Systems	9
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	8
Nudged Elastic Bands and Lightly Bound Skyrmions	7
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	6
Adiabatic Limit, Theta Function, and Geometric Quantization	5
Connection Problem for an Extension of q-Hypergeometric Systems	4
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	4
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	4
Topology of Almost Complex Structures on Six-Manifolds	4
Geometry of Gauged Skyrmions	4
Determinantal Formulas for Exceptional Orthogonal Polynomials	4
On the Fourth-Order Lattice Gel'fand-Dikii Equations	4
The Morse-Smale Property of the Thurston Spine	3
$q$-Hypergeometric Orthogonal Polynomials with $q=-1$	3
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	3
Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations	3
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	3
Construction of Irreducible $\mathcal{U}(\mathfrak{g})^{G'}$-Modules and Discretely Decomposable Restrictions	3
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras	2
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases	2
Seven Concepts Attributed to Siméon-Denis Poisson	2
Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property	2
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation	2
Double Quiver Gauge Theory and BPS/CFT Correspondence	2

Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants	2
Deformations of Symmetric Simple Modular Lie (Super)Algebras	2
Resurgent Structure of the Topological String and the First Painlevé Equation	2
Scaling Limits of Planar Symplectic Ensembles	2
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians	2
Monotone Cumulant-Moment Formula and Schröder Trees	2
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	2
Resurgence of Refined Topological Strings and Dual Partition Functions	2
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type	2
Knots, Perturbative Series and Quantum Modularity	2
A Minimum Property for Cuboidal Lattice Sums	2
Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations	2
Cyclic Objects from Surfaces	2
Global Magni4icence, or: 4G Networks	2
The Exponential Map for Hopf Algebras	2
Module Categories of the Generic Virasoro VOA and Quantum Groups	2
Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators	2
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II	2
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains	2
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties	2
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations	2
On Asymptotically Locally Hyperbolic Metrics with Negative Mass	2
The Rogers-Ramanujan Identities and Cauchy's Identity	2
Torsion Obstructions to Positive Scalar Curvature	1
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	1
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers	1
Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra	1
On Relative Tractor Bundles	1
Isomonodromy and Painlevé Type Equations, Case Studies	1
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	1
Deformations of Instanton Metrics	1
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model	1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	1
Symmetries in Riemann-Cartan Geometries	1
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$	1
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates	1
Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations	1
From pp-Waves to Galilean Spacetimes	1
Rooted Clusters for Graph LP Algebras	1
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
A Cable Knot and BPS-Series	1
Deformations of Dimer Models	1
On q -Middle Convolution and q -Hypergeometric Equations	1
Modified Green-Hyperbolic Operators	1
A Note on the Spectrum of Magnetic Dirac Operators	1
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras	1
Bäcklund-Darboux Transformations for Super KdV Type Equations	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1

Tropical Mirror Symmetry in Dimension One	1
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class	1
Positive Intermediate Ricci Curvature on Fibre Bundles	1
New Combinatorial Formulae for Nested Bethe Vectors	1
On the Quantum K-Theory of the Quintic	1
Deformation Families of Quasi-Projective Varieties and Symmetric Projective K3 Surfaces	1
On Integrable Nets in General and Concordant Chebyshev Nets in Particular	1
Lagrangian Multiform for Cyclotomic Gaudin Models	1
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	1
Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations	1
Holography of Higher Codimension Submanifolds: Riemannian and Conformal	1
On Some Special Cases of Gaiotto's Positivity Conjecture	1
The Derived Pure Spinor Formalism as an Equivalence of Categories	1
Lerch $\Phi$ Asymptotics	1
Noncolliding Macdonald Walks with an Absorbing Wall	1
Kähler-Yang-Mills Equations and Vortices	1
Tropical Mirror	1
Moduli Spaces for the Fifth Painlevé Equation	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model	1
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections	1
Stationary Flows Revisited	1
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices	1
Correlated Gromov-Witten Invariants	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras	1
Optimal Transport and Generalized Ricci Flow	1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	1
Equivariant Coarse (Co-)Homology Theories	1
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups	1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$	1
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles	1
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras	1
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids	1
Some Differential Equations for the Riemann $\theta$-Function on Jacobians	1
Categorical Fermionic Actions and Minimal Modular Extensions	1
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds	1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	1
On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra	1
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps	1
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space	1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	1
Bilateral Bailey Lattices and Andrews-Gordon Type Identities	1
About a Family of ALF Instantons with Conical Singularities	1