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 2021-09-01 to 2025-09-01.)
ArticleCitations
Convolution and Square in Abelian Groups I10
Foreword to: Special Issue on Interactive Theorem Provers9
Facets in the Vietoris–Rips Complexes of Hypercubes8
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct8
Universality of Nodal Count Distribution in Large Metric Graphs7
An Interpolation From Sol to Hyperbolic Space7
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL6
Recovery from Power Sums6
The Weak Lefschetz Property and Unimodality of Hilbert Functions of Random Monomial Algebras5
Density of Binary Disc Packings: Lower and Upper Bounds5
Orbits on K3 Surfaces of Markoff Type5
Representations of Deligne-Mostow lattices into5
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases5
Topological Bounds on Hyperkähler Manifolds4
Continued Fractions, Orthogonal Polynomials and Dirichlet Series4
Earthquakes on the Once-Punctured Torus4
Empirical Properties of Optima in Free Semidefinite Programs4
The Descendants of the 3d-Index4
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes4
Computation of the Taut, the Veering and the Teichmüller Polynomials3
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups3
The 4 × 4 Orthostochastic Variety3
L-space knots with tunnel number >1 by experiment3
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces3
Enumeration on Convex Configurations of Lucky Puzzle3
Intersection Numbers on Fibrations and Catalan Numbers3
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups3
diffstrata—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials2
Infinitely Many Knots With NonIntegral Trace2
Minimal Nonsolvable Bieberbach Groups2
A Family of Horn-Bernstein Functions2
Zeros of Fractional Derivatives of Polynomials2
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums2
Ray-Marching Thurston Geometries2
There are Salem Numbers with Trace –3 and Every Degree At Least 342
Dynamics of Zeroes Under Repeated Differentiation2
Algorithmic Symplectic Packing2
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices2
No Eleventh Conditional Ingleton Inequality2
Heuristics for 2-class Towers of Cyclic Cubic Fields2
Kronecker Sequences with Many Distances2
Schwarzian Versus a Family of Moving Parabolic Points1
A Concrete Model for the Quantum Permutation Group on 4 Points1
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow1
Parabolically Induced Representations of p -adic G 2 Distinguished by SO 4 , I1
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions1
Fast Algorithm for Multiplication on the Skein Algebra of One-Hole Torus1
Positive Plücker tree certificates for non-realizability1
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions1
Diverse Beam Search to Find Densest-Known Planar Unit Distance Graphs1
Sampling Algebra Structures on Minimal Free Resolutions of Length 31
Murmurations of Elliptic Curves1
Clasper Presentations of Habegger-Lin’s Action on String Links1
Error Estimation for a Broad Class of Fractional Multiplicative Quadrature Formulas1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property1
Computational Progress on the Unfair 0-1 Polynomial Conjecture1
Roudneff’s Conjecture in Dimension 41
A Billiard in an Open Circle and the Riemann Zeta Function1
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K  = 2 Conjecture1
Spectral Gap for the Cohomological Laplacian of SL 3 (ℤ)1
A Zero Minor Solves the Elliptic Curve Discrete Logarithm Problem1
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves1
A Legendrian Knot Atlas for Knots of Arc Index 101
Zeta Functions of Lie Algebras Over Finite Fields1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections1
Redundancy of Triangle Groups in Spherical CR Representations1
Real and Complex Multiplication on K 3 Surfaces via Period Integration1
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models1
The Variety of Polar Simplices II1
Heuristics for Anti-cyclotomic ℤ p -extensions1
Accessibility of the Boundary of the Thurston Set1
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures1
The Schwarzian Derivative and the Degree of a Classical Minimal Surface1
Continued Fraction Expansions Towards Zaremba’s Conjecture1
On Higher-Dimensional Symmetric Designs0
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number0
Correction0
Haemers’ Conjecture: An Algorithmic Perspective0
Eckardt Points on a Cubic Threefold0
Formalizing Ordinal Partition Relations Using Isabelle/HOL0
On the Positive Coefficients of Two Families of q -Series0
Piecewise flat Ricci flow of compact without boundary three-manifolds0
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols0
Construction of Low-Dimensional Lie Algebras versus Eigenproblem0
Counting Minimal Triples for a Generalized Markoff Equation0
Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains0
On the Asymptotic Behavior of the Quantiles in the Gamma Distribution0
A Cable Knot and BPS-Series II0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk0
Orbits of Theta Characteristics0
Formalizing Galois Theory0
Experimental Statistics for Mirzakhani’s Theorem0
New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals0
On Non-Projective Complete Toric Varieties0
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces0
On the Cohomology of GL 2 and SL 2 over Imaginary Quadratic Fields0
Small Mahler Measures From Digraphs0
Triangular Diagonal Harmonics Conjectures0
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ0
Statfda: A User-Friendly Web Application to Analyse Curves Data from a Functional Perspective0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs0
Polytopality of Simple Games0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces0
On Projective Evolutes of Polygons0
Level Curves for Zhang’s Eta Function0
Schemes in Lean0
Computing Heights via Limits of Hodge Structures0
A ℕatural Avenue0
Conjectures for Cutting Pizza with Coxeter Arrangements0
Combinatorics of Correlated Equilibria0
The Beauty of Random Polytopes Inscribed in the 2-Sphere0
Are the Collatz and abc Conjectures Related?0
An Infinite Family of Counterexamples to a Conjecture on Distance Magic Labeling0
A Partition of the Set of Numerical Semigroups Associated to Wilf’s Conjecture0
Hard Diagrams of the Unknot0
Computer Bounds for Kronheimer–Mrowka Foam Evaluation0
Hadwiger’s Conjecture with Certain Forbidden Induced Subgraphs0
Algebraic Number Starscapes0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves0
Systolic Geometry of Translation Surfaces0
Lebesgue Constants for Cantor Sets0
Data-Scientific Study of Kronecker Coefficients0
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths0
Adventures in Supersingularland0
A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme0
Exhaustive Generation of Edge-Girth-Regular Graphs0
Discrete Dynamical Systems From Real Valued Mutation0
The Groups and Nilpotent Lie Rings of Order p 8 with Maximal Class0
Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces0
Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets0
Real-Time Visualization in Anisotropic Geometries0
ACC for F -Signature: A Likely Counterexample0
Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups0
Computing Chebyshev Polynomials Using the Complex Remez Algorithm0
Local Configurations in Union-Closed Families0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II0
On Graphs of a Finite Full Transformation Semigroup0
Counterexamples to a Conjecture of Ahmadi and Shparlinski0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points0
A Family of Iterated Maps on Natural Numbers0
The Strong Lefschetz Property for Coinvariant Rings of Finite Complex Reflection Groups0
An Algorithm to Find Ribbon Disks for Alternating Knots0
An Experimental Study of the Choquet Integral based on Conditional Aggregation Operators0
Self-Dual Matroids from Canonical Curves0
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces0
New Bounds and Progress Towards a Conjecture on the Summatory Function of (−2) Ω( n ) 0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space0
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces0
Mukai Lifting of Self-Dual Points in ℙ 60
Sampling Triangulations of Manifolds Using Monte Carlo Methods0
On the Irreducible Character Degrees of Symmetric Groups and their Multiplicities0
Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure0
Structures in HOMFLY-PT Homology0
Higher Rademacher Symbols0
Free Convolution Powers Via Roots of Polynomials0
Four-Dimensional Painlevé-Type Difference Equations0
A Computational Approach to Square Graham Partitions0
Characteristic Cycles of IH Sheaves of Simply Laced Minuscule Schubert Varieties Are Irreducible0
Orbifold del Pezzo Surfaces in ℙ 1  × ℙ 1  × ℙ 1 Format0
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps0
Erratum to the Paper “On Skew Braces and Their Ideals”0
Some Singular Curves in Mukai’s Model of 70
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
Ropelength and Writhe Quantization of 12-Crossing Knots0
A New Orbit Closure in Genus 8?0
On the Arithmetic of Generalized Fekete Polynomials0
The Unknotting Number, Hard Unknot Diagrams, and Reinforcement Learning0
New Borwein-Type Conjectures0
On Saturation of Zero-Dimensional Ideals0
Even-Carry Polynomials and Cohomology of the Incidence Correspondence in Positive Characteristic0
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions0
Finite Groups with Geodetic Cayley Graphs0
Opers and Non-Abelian Hodge: Numerical Studies0
Crepant Resolutions, Mutations, and the Space of Potentials0
Enumeration of Rational Cuspidal Curves via the WDVV Equation0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type0
Homology Representations of Compactified Configurations on Graphs Applied to ???? 2,n0
Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem0
A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture0
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II0
Coxeter Quotients of Knot Groups through 16 Crossings0
The Reciprocal Algebraic Integers Having Small House0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties0
Planar Stick Indices of Some Knotted Graphs0
Small Values of |L'/L(1,χ)|0
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types0
Deflation Conjecture and Local Dimensions of Brent Equations0
On the Special Identities of Gelfand–Dorfman Algebras0
Gaps Between Consecutive Primes and the Exponential Distribution0
0.053547859191895