Experimental Mathematics

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 2021-06-01 to 2025-06-01.)
ArticleCitations
Convolution and Square in Abelian Groups I15
Foreword to: Special Issue on Interactive Theorem Provers10
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct8
Facets in the Vietoris–Rips Complexes of Hypercubes8
An Interpolation From Sol to Hyperbolic Space7
Recovery from Power Sums7
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL6
Universality of Nodal Count Distribution in Large Metric Graphs6
Conjectures for Moments Associated With Cubic Twists of Elliptic Curves5
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases5
Earthquakes on the Once-Punctured Torus5
Representations of Deligne-Mostow lattices into5
Orbits on K3 Surfaces of Markoff Type5
Density of Binary Disc Packings: Lower and Upper Bounds4
Intersection Numbers on Fibrations and Catalan Numbers4
Empirical Properties of Optima in Free Semidefinite Programs4
Continued Fractions, Orthogonal Polynomials and Dirichlet Series4
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes4
Topological Bounds on Hyperkähler Manifolds4
Computation of the Taut, the Veering and the Teichmüller Polynomials4
Enumeration on Convex Configurations of Lucky Puzzle3
diffstrata—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials3
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups3
The 4 × 4 Orthostochastic Variety3
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices3
L-space knots with tunnel number >1 by experiment3
Quotient Graphs and Amalgam Presentations for Unitary Groups Over Cyclotomic Rings3
Minimal Nonsolvable Bieberbach Groups3
A Family of Horn-Bernstein Functions2
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums2
Decomposing Jacobians Via Galois covers2
No Eleventh Conditional Ingleton Inequality2
Kronecker Sequences with Many Distances2
Heuristics for 2-class Towers of Cyclic Cubic Fields2
Dynamics of Zeroes Under Repeated Differentiation2
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups2
Ray-Marching Thurston Geometries2
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces2
Zeros of Fractional Derivatives of Polynomials2
The Schwarzian Derivative and the Degree of a Classical Minimal Surface2
Powerfully Nilpotent Groups of Class 22
Infinitely Many Knots With NonIntegral Trace2
Algorithmic Symplectic Packing2
There are Salem Numbers with Trace –3 and Every Degree At Least 342
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves1
A Billiard in an Open Circle and the Riemann Zeta Function1
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths1
A Concrete Model for the Quantum Permutation Group on 4 Points1
Clasper Presentations of Habegger-Lin’s Action on String Links1
Asymptotic Behavior of Kac Polynomials1
A 2-Compact Group as a Spets1
Parabolically Induced Representations of p -adic G 2 Distinguished by SO 4 , I1
Positive Plücker tree certificates for non-realizability1
The Variety of Polar Simplices II1
Heuristics for Anti-cyclotomic ℤ p -extensions1
Accessibility of the Boundary of the Thurston Set1
Fast Algorithm for Multiplication on the Skein Algebra of One-Hole Torus1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models1
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections1
Redundancy of Triangle Groups in Spherical CR Representations1
Murmurations of Elliptic Curves1
Schwarzian Versus a Family of Moving Parabolic Points1
Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves1
Roudneff’s Conjecture in Dimension 41
A Legendrian Knot Atlas for Knots of Arc Index 101
Spectral Gap for the Cohomological Laplacian of SL 3 (ℤ)1
Zeta Functions of Lie Algebras Over Finite Fields1
Counting Pop-Stacked Permutations in Polynomial Time1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions1
Orbifold del Pezzo Surfaces in ℙ 1  × ℙ 1  × ℙ 1 Format1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow1
Real and Complex Multiplication on K 3 Surfaces via Period Integration1
Sampling Algebra Structures on Minimal Free Resolutions of Length 31
Continued Fraction Expansions Towards Zaremba’s Conjecture1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K  = 2 Conjecture1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures1
Formalizing Galois Theory0
ACC for F -Signature: A Likely Counterexample0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals0
Even-Carry Polynomials and Cohomology of the Incidence Correspondence in Positive Characteristic0
Deflation Conjecture and Local Dimensions of Brent Equations0
Combinatorics of Correlated Equilibria0
A Computational Approach to Square Graham Partitions0
Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II0
Coxeter Quotients of Knot Groups through 16 Crossings0
New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences0
Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points0
Schemes in Lean0
Haemers’ Conjecture: An Algorithmic Perspective0
Computing Heights via Limits of Hodge Structures0
Characterizing 3-Sets in Union-Closed Families0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs0
Erratum to the Paper “On Skew Braces and Their Ideals”0
Hyperbolic 24-Cell 4-Manifolds With One Cusp0
Finite Groups with Geodetic Cayley Graphs0
A Family of Iterated Maps on Natural Numbers0
A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme0
Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points0
Statfda: A User-Friendly Web Application to Analyse Curves Data from a Functional Perspective0
Planar Stick Indices of Some Knotted Graphs0
On the Special Identities of Gelfand–Dorfman Algebras0
Sampling Triangulations of Manifolds Using Monte Carlo Methods0
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces0
Free Convolution Powers Via Roots of Polynomials0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces0
Some Singular Curves in Mukai’s Model of 70
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II0
Characteristic Cycles of IH Sheaves of Simply Laced Minuscule Schubert Varieties Are Irreducible0
Hadwiger’s Conjecture with Certain Forbidden Induced Subgraphs0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves0
Adventures in Supersingularland0
Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets0
Discrete Dynamical Systems From Real Valued Mutation0
The Groups and Nilpotent Lie Rings of Order p 8 with Maximal Class0
Graph Coverings and (Im)primitive Homology: Examples of Low Degree0
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties0
Structures in HOMFLY-PT Homology0
Local Configurations in Union-Closed Families0
Small Mahler Measures From Digraphs0
On the Cohomology of GL 2 and SL 2 over Imaginary Quadratic Fields0
A New Orbit Closure in Genus 8?0
Counterexamples to a Conjecture of Ahmadi and Shparlinski0
Liquid Tensor Experiment0
Homology Representations of Compactified Configurations on Graphs Applied to ???? 2,n0
An Algorithm to Find Ribbon Disks for Alternating Knots0
A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture0
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces0
Counting Minimal Triples for a Generalized Markoff Equation0
New Bounds and Progress Towards a Conjecture on the Summatory Function of (−2) Ω( n ) 0
On Projective Evolutes of Polygons0
Small Values of |L'/L(1,χ)|0
Ropelength and Writhe Quantization of 12-Crossing Knots0
Computer Bounds for Kronheimer–Mrowka Foam Evaluation0
An Experimental Study of the Choquet Integral based on Conditional Aggregation Operators0
Level Curves for Zhang’s Eta Function0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk0
Conjectures for Cutting Pizza with Coxeter Arrangements0
Systolic Geometry of Translation Surfaces0
Are the Collatz and abc Conjectures Related?0
Gaps Between Consecutive Primes and the Exponential Distribution0
Piecewise flat Ricci flow of compact without boundary three-manifolds0
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number0
On the Cohomology Groups of Real Lagrangians in Calabi–Yau Threefolds0
Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains0
Four-Dimensional Painlevé-Type Difference Equations0
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps0
Formalizing Ordinal Partition Relations Using Isabelle/HOL0
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors0
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings0
On the Arithmetic of Generalized Fekete Polynomials0
Experimental Statistics for Mirzakhani’s Theorem0
On Saturation of Zero-Dimensional Ideals0
Real-Time Visualization in Anisotropic Geometries0
Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups0
Eckardt Points on a Cubic Threefold0
Correction0
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ0
Higher Rademacher Symbols0
On Graphs of a Finite Full Transformation Semigroup0
New Borwein-Type Conjectures0
Enumeration of Rational Cuspidal Curves via the WDVV Equation0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type0
Polytopality of Simple Games0
The Reciprocal Algebraic Integers Having Small House0
New Stick Number Bounds from Random Sampling of Confined Polygons0
Hard Diagrams of the Unknot0
Exhaustive Generation of Edge-Girth-Regular Graphs0
The Beauty of Random Polytopes Inscribed in the 2-Sphere0
A ℕatural Avenue0
Triangular Diagonal Harmonics Conjectures0
Lebesgue Constants for Cantor Sets0
Primes in Short Intervals: Heuristics and Calculations0
Algebraic Number Starscapes0
Self-Dual Matroids from Canonical Curves0
Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces0
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces0
Opers and Non-Abelian Hodge: Numerical Studies0
On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities0
An Infinite Family of Counterexamples to a Conjecture on Distance Magic Labeling0
Data-Scientific Study of Kronecker Coefficients0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space0
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types0
Sinkhorn Algorithm for Quantum Permutation Groups0
Crepant Resolutions, Mutations, and the Space of Potentials0
Construction of Low-Dimensional Lie Algebras versus Eigenproblem0
Orbits of Theta Characteristics0
On the Asymptotic Behavior of the Quantiles in the Gamma Distribution0
A Cable Knot and BPS-Series II0
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