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 2021-10-01 to 2025-10-01.)

Article	Citations
Convolution and Square in Abelian Groups I	10
Foreword to: Special Issue on Interactive Theorem Provers	10
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	8
An Interpolation From Sol to Hyperbolic Space	7
Universality of Nodal Count Distribution in Large Metric Graphs	7
Facets in the Vietoris–Rips Complexes of Hypercubes	7
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL	6
Orbits on K3 Surfaces of Markoff Type	6
The Descendants of the 3d-Index	5
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases	5
The Weak Lefschetz Property and Unimodality of Hilbert Functions of Random Monomial Algebras	5
Recovery from Power Sums	5
Representations of Deligne-Mostow lattices into	4
Topological Bounds on Hyperkähler Manifolds	4
Intersection Numbers on Fibrations and Catalan Numbers	4
Earthquakes on the Once-Punctured Torus	4
Empirical Properties of Optima in Free Semidefinite Programs	4
L-space knots with tunnel number >1 by experiment	4
Density of Binary Disc Packings: Lower and Upper Bounds	4
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes	4
Continued Fractions, Orthogonal Polynomials and Dirichlet Series	4
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups	3
Enumeration on Convex Configurations of Lucky Puzzle	3
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups	3
Computation of the Taut, the Veering and the Teichmüller Polynomials	3

The 4 × 4 Orthostochastic Variety	3
Ray-Marching Thurston Geometries	2
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices	2
Algorithmic Symplectic Packing	2
Kronecker Sequences with Many Distances	2
Heuristics for 2-class Towers of Cyclic Cubic Fields	2
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces	2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums	2
`diffstrata`—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials	2
Dynamics of Zeroes Under Repeated Differentiation	2
Zeros of Fractional Derivatives of Polynomials	2
Minimal Nonsolvable Bieberbach Groups	2
Infinitely Many Knots With NonIntegral Trace	2
There are Salem Numbers with Trace –3 and Every Degree At Least 34	2
A Family of Horn-Bernstein Functions	2
No Eleventh Conditional Ingleton Inequality	2
Clasper Presentations of Habegger-Lin’s Action on String Links	1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property	1
A Billiard in an Open Circle and the Riemann Zeta Function	1
Sampling Algebra Structures on Minimal Free Resolutions of Length 3	1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions	1
Heuristics for Anti-cyclotomic ℤ _p -extensions	1
Diverse Beam Search to Find Densest-Known Planar Unit Distance Graphs	1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures	1
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K = 2 Conjecture	1
Computational Progress on the Unfair 0-1 Polynomial Conjecture	1
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths	1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	1
Weighted Fractional Euler–Maclaurin-Type Inequalities by Various Function Classes	1
Continued Fraction Expansions Towards Zaremba’s Conjecture	1
Real and Complex Multiplication on K 3 Surfaces via Period Integration	1
Positive Plücker tree certificates for non-realizability	1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models	1
A Legendrian Knot Atlas for Knots of Arc Index 10	1
Spectral Gap for the Cohomological Laplacian of SL ₃ (ℤ)	1
Accessibility of the Boundary of the Thurston Set	1
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions	1
Parabolically Induced Representations of p -adic G ₂ Distinguished by SO ₄ , I	1
Schwarzian Versus a Family of Moving Parabolic Points	1
Orbifold del Pezzo Surfaces in ℙ ¹ × ℙ ¹ × ℙ ¹ Format	1
A Concrete Model for the Quantum Permutation Group on 4 Points	1
Redundancy of Triangle Groups in Spherical CR Representations	1
The Variety of Polar Simplices II	1
Murmurations of Elliptic Curves	1
Roudneff’s Conjecture in Dimension 4	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
A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem	1
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	1

Zeta Functions of Lie Algebras Over Finite Fields	1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	1
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors	1