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

Article	Citations
Liquid Tensor Experiment	13
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols	7
On the Special Identities of Gelfand–Dorfman Algebras	6
New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences	5
Dynamics of Zeroes Under Repeated Differentiation	5
Density of Binary Disc Packings: Lower and Upper Bounds	5
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types	5
Free Convolution Powers Via Roots of Polynomials	5
Formalizing Ordinal Partition Relations Using Isabelle/HOL	5
Real and Complex Multiplication on K 3 Surfaces via Period Integration	4
Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups	4
Counting Pop-Stacked Permutations in Polynomial Time	4
Decomposing Jacobians Via Galois covers	4
Schemes in Lean	4
Adventures in Supersingularland	4
Small Values of \|L'/L(1,χ)\|	3
Universality of Nodal Count Distribution in Large Metric Graphs	3
New Stick Number Bounds from Random Sampling of Confined Polygons	3
Sinkhorn Algorithm for Quantum Permutation Groups	3
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings	3
Positive Plücker tree certificates for non-realizability	3
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions	3
Hyperbolic 24-Cell 4-Manifolds With One Cusp	3
Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem	3
Counterexamples to a Conjecture of Ahmadi and Shparlinski	2

Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes	2
Homology Representations of Compactified Configurations on Graphs Applied to ?_2,n	2
The S_n-Equivariant Rational Homology of the Tropical Moduli Spaces Δ_2,n	2
Quotient Graphs and Amalgam Presentations for Unitary Groups Over Cyclotomic Rings	2
Computation of the Taut, the Veering and the Teichmüller Polynomials	2
An Interpolation From Sol to Hyperbolic Space	2
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps	2
L-space knots with tunnel number >1 by experiment	2
Real-Time Visualization in Anisotropic Geometries	2
Computer Bounds for Kronheimer–Mrowka Foam Evaluation	2
Representations of Deligne-Mostow lattices into	1
Triangular Diagonal Harmonics Conjectures	1
A Family of Horn-Bernstein Functions	1
Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves	1
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces	1
Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points	1
A Family of Iterated Maps on Natural Numbers	1
Self-Dual Matroids from Canonical Curves	1
Hard Diagrams of the Unknot	1
Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains	1
Experimental Statistics for Mirzakhani’s Theorem	1
On the Cohomology Groups of Real Lagrangians in Calabi–Yau Threefolds	1
Recovery from Power Sums	1
Orbits on K3 Surfaces of Markoff Type	1
Ray-Marching Thurston Geometries	1
The Beauty of Random Polytopes Inscribed in the 2-Sphere	1
Erratum to the Paper “On Skew Braces and Their Ideals”	1
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ	1
Empirical Properties of Optima in Free Semidefinite Programs	1
Algebraic Number Starscapes	1
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions	1
Conjectures for Moments Associated With Cubic Twists of Elliptic Curves	1
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL	1
Higher Rademacher Symbols	1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	1
Computing Heights via Limits of Hodge Structures	1
`diffstrata`—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials	1
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces	1
Discrete Dynamical Systems From Real Valued Mutation	1