OOIR: Observatory of International Research

Papers

(The TQCC of Experimental Mathematics 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 2022-08-01 to 2026-08-01.)

Article	Citations
Convolution and Square in Abelian Groups I	9
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	7
Computations of Stable Multiplicities in the Cohomology of Configuration Space	6
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases	5
Facets in the Vietoris–Rips Complexes of Hypercubes	5
Fast Construction of Self-Avoiding Polygons and Efficient Evaluation of Closed Walk Fractions on the Square Lattice	4
Orbits on K3 Surfaces of Markoff Type	3
Numerical Semigroup Tree: Type-Representation	3
The Weak Lefschetz Property and Unimodality of Hilbert Functions of Random Monomial Algebras	3
Computation of the knot Floer complex of knots of thickness one	3
The Descendants of the 3d-Index	2
Topological Bounds on Hyperkähler Manifolds	2
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces	2
Lie Algebra Homology with Coefficients Tensor Products of the Adjoint Representation in Relative Polynomial Degree 2	2
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups	2
Primitive Representations by Positive Ternary Quadratic Forms: A Combinatorial Approach	2
Earthquakes on the Once-Punctured Torus	2
Estimating the Lower Limit in the p -Adic Littlewood Conjecture	2
Minimal Nonsolvable Bieberbach Groups	2
An Improved Example for an Autoconvolution Inequality	2
Continued Fractions, Orthogonal Polynomials and Dirichlet Series	2
Enumeration on Convex Configurations of Lucky Puzzle	2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums	2
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups	2
Quasi-Alternating Surgeries	2

Intersection Numbers on Fibrations and Catalan Numbers	2
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	1
Kronecker Sequences with Many Distances	1
A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem	1
Sampling Algebra Structures on Minimal Free Resolutions of Length 3	1
Orbifold del Pezzo Surfaces in ℙ ¹ × ℙ ¹ × ℙ ¹	1
Clasper Presentations of Habegger-Lin’s Action on String Links	1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	1
Spectral Gap for the Cohomological Laplacian of SL ₃ (ℤ)	1
Error Estimation for a Broad Class of Fractional Multiplicative Quadrature Formulas	1
Fast Algorithm for Multiplication on the Skein Algebra of One-Hole Torus	1
Murmurations of Elliptic Curves	1
The Variety of Polar Simplices II	1
High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process	1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures	1
Zeros of Fractional Derivatives of Polynomials	1
There are Salem Numbers with Trace –3 and Every Degree At Least 34	1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions	1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models	1
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths	1
On the Classification of Low-Order Idempotent Hom-Groups	1
Parabolically Induced Representations of p -adic G ₂ Distinguished by SO ₄ , I	1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property	1
Continued Fraction Expansions Towards Zaremba’s Conjecture	1
A Billiard in an Open Circle and the Riemann Zeta Function	1
A Legendrian Knot Atlas for Knots of Arc Index 10	1
Lower Bounds for the Weak-Type Constants of the Operators Λm	1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K = 2 Conjecture	1
Zeta Functions of Lie Algebras Over Finite Fields	1
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	1
No Eleventh Conditional Ingleton Inequality	1
Computational Progress on the Unfair 0-1 Polynomial Conjecture	1
A Concrete Model for the Quantum Permutation Group on 4 Points	1
On the Arithmetic of Generalized Fekete Polynomials	1
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors	1
Convolutive Sequences, I: Through the Lens of Integer Partition Functions	1
Covering Radii of 3-Zonotopes and the Shifted Lonely Runner Conjecture	1
Weighted Fractional Euler–Maclaurin-Type Inequalities by Various Function Classes	1
Roudneff’s Conjecture in Dimension 4	1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	1
Heuristics for Anti-cyclotomic ℤ _p -extensions	1
On the Stratification Conjecture for CM Torsion Subgroups	1
Diverse Beam Search to Find Densest-Known Planar Unit Distance Graphs	1