OOIR: Observatory of International Research

Papers

(The median citation count of Experimental Mathematics is 0. 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
Foreword to: Special Issue on Interactive Theorem Provers	8
Convolution and Square in Abelian Groups I	8
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	6
Facets in the Vietoris–Rips Complexes of Hypercubes	5
Universality of Nodal Count Distribution in Large Metric Graphs	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	4
Orbits on K3 Surfaces of Markoff Type	4
Recovery from Power Sums	4
Earthquakes on the Once-Punctured Torus	3
The Descendants of the 3d-Index	3
Representations of Deligne-Mostow lattices into	2
Continued Fractions, Orthogonal Polynomials and Dirichlet Series	2
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces	2
Minimal Nonsolvable Bieberbach Groups	2
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups	2
Density of Binary Disc Packings: Lower and Upper Bounds	2
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes	2
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups	2
Ray-Marching Thurston Geometries	2
Intersection Numbers on Fibrations and Catalan Numbers	2
Topological Bounds on Hyperkähler Manifolds	2
Enumeration on Convex Configurations of Lucky Puzzle	2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums	2
Algorithmic Symplectic Packing	2

Orbifold del Pezzo Surfaces in ℙ ¹ × ℙ ¹ × ℙ ¹ Format	1
Weighted Fractional Euler–Maclaurin-Type Inequalities by Various Function Classes	1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property	1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions	1
Computational Progress on the Unfair 0-1 Polynomial Conjecture	1
Heuristics for Anti-cyclotomic ℤ _p -extensions	1
The Variety of Polar Simplices II	1
A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem	1
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	1
There are Salem Numbers with Trace –3 and Every Degree At Least 34	1
Diverse Beam Search to Find Densest-Known Planar Unit Distance Graphs	1
Zeta Functions of Lie Algebras Over Finite Fields	1
A Concrete Model for the Quantum Permutation Group on 4 Points	1
Error Estimation for a Broad Class of Fractional Multiplicative Quadrature Formulas	1
Real and Complex Multiplication on K 3 Surfaces via Period Integration	1
Positive Plücker tree certificates for non-realizability	1
Murmurations of Elliptic Curves	1
A Legendrian Knot Atlas for Knots of Arc Index 10	1
Spectral Gap for the Cohomological Laplacian of SL ₃ (ℤ)	1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures	1
Zeros of Fractional Derivatives of Polynomials	1
No Eleventh Conditional Ingleton Inequality	1
Continued Fraction Expansions Towards Zaremba’s Conjecture	1
Parabolically Induced Representations of p -adic G ₂ Distinguished by SO ₄ , I	1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	1
Sampling Algebra Structures on Minimal Free Resolutions of Length 3	1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models	1
Fast Algorithm for Multiplication on the Skein Algebra of One-Hole Torus	1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K = 2 Conjecture	1
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	1
Kronecker Sequences with Many Distances	1
Roudneff’s Conjecture in Dimension 4	1
A Billiard in an Open Circle and the Riemann Zeta Function	1
Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets	0
On the Special Identities of Gelfand–Dorfman Algebras	0
Systolic Geometry of Translation Surfaces	0
On the Positive Coefficients of Two Families of q -Series	0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves	0
The Unknotting Number, Hard Unknot Diagrams, and Reinforcement Learning	0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk	0
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors	0
Counting Minimal Triples for a Generalized Markoff Equation	0
On the Arithmetic of Generalized Fekete Polynomials	0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type	0
Structures in HOMFLY-PT Homology	0
A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture	0
Real-Time Visualization in Anisotropic Geometries	0
Finite Groups with Geodetic Cayley Graphs	0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces	0

A ℕatural Avenue	0
Computing Chebyshev Polynomials Using the Complex Remez Algorithm	0
Computing Heights via Limits of Hodge Structures	0
On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities	0
Polytopality of Simple Games	0
Sampling Triangulations of Manifolds Using Monte Carlo Methods	0
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings	0
A Random Matrix Model for a Family of Cusp Forms	0
Combinatorics of Correlated Equilibria	0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space	0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs	0
Gaps Between Consecutive Primes and the Exponential Distribution	0
Data-Scientific Study of Kronecker Coefficients	0
A Family of Iterated Maps on Natural Numbers	0
On Saturation of Zero-Dimensional Ideals	0
Conjectures for Cutting Pizza with Coxeter Arrangements	0
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps	0
Orbits of Theta Characteristics	0
Hard Diagrams of the Unknot	0
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces	0
Correction	0
Crepant Resolutions, Mutations, and the Space of Potentials	0
A Cable Knot and BPS-Series II	0
New Borwein-Type Conjectures	0
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths	0
Deflation Conjecture and Local Dimensions of Brent Equations	0
Discrete Dynamical Systems From Real Valued Mutation	0
On Projective Evolutes of Polygons	0
A Computational Approach to Square Graham Partitions	0
On the Cohomology of GL ₂ and SL ₂ over Imaginary Quadratic Fields	0
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ	0
On Non-Projective Complete Toric Varieties	0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties	0
The Strong Lefschetz Property for Coinvariant Rings of Finite Complex Reflection Groups	0
New Bounds and Progress Towards a Conjecture on the Summatory Function of (−2) ^{Ω( n )}	0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II	0
Homology Representations of Compactified Configurations on Graphs Applied to ???? _2,n	0
An Infinite Family of Counterexamples to a Conjecture on Distance Magic Labeling	0
Lebesgue Constants for Cantor Sets	0
Enumeration of Rational Cuspidal Curves via the WDVV Equation	0
An Algorithm to Find Ribbon Disks for Alternating Knots	0
Piecewise flat Ricci flow of compact without boundary three-manifolds	0
Level Curves for Zhang’s Eta Function	0
A New Orbit Closure in Genus 8?	0
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II	0
Characteristic Cycles of IH Sheaves of Simply Laced Minuscule Schubert Varieties Are Irreducible	0
Hadwiger’s Conjecture with Certain Forbidden Induced Subgraphs	0
Planar Stick Indices of Some Knotted Graphs	0
Higher Rademacher Symbols	0
Four-Dimensional Painlevé-Type Difference Equations	0
Are the Collatz and abc Conjectures Related?	0
The Groups and Nilpotent Lie Rings of Order p ⁸ with Maximal Class	0
A Partition of the Set of Numerical Semigroups Associated to Wilf’s Conjecture	0
Clasper Presentations of Habegger-Lin’s Action on String Links	0
ACC for F -Signature: A Likely Counterexample	0
On the Asymptotic Behavior of the Quantiles in the Gamma Distribution	0
Statfda: A User-Friendly Web Application to Analyse Curves Data from a Functional Perspective	0
Ropelength and Writhe Quantization of 12-Crossing Knots	0
Even-Carry Polynomials and Cohomology of the Incidence Correspondence in Positive Characteristic	0
An Experimental Study of the Choquet Integral based on Conditional Aggregation Operators	0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals	0
On Graphs of a Finite Full Transformation Semigroup	0
Triangular Diagonal Harmonics Conjectures	0
Local Configurations in Union-Closed Families	0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points	0
Coxeter Quotients of Knot Groups through 16 Crossings	0
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types	0
Haemers’ Conjecture: An Algorithmic Perspective	0
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces	0
Eckardt Points on a Cubic Threefold	0
Algebraic Number Starscapes	0
Mukai Lifting of Self-Dual Points in ℙ ⁶	0
On Higher-Dimensional Symmetric Designs	0
Exhaustive Generation of Edge-Girth-Regular Graphs	0
Self-Dual Matroids from Canonical Curves	0
Some Singular Curves in Mukai’s Model of M̅ ₇	0
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces	0
Construction of Low-Dimensional Lie Algebras versus Eigenproblem	0