Experimental Mathematics

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
Free Convolution Powers Via Roots of Polynomials	5
Formalizing Ordinal Partition Relations Using Isabelle/HOL	5
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
Schemes in Lean	4
Adventures in Supersingularland	4
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
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
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
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
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 Sn-Equivariant Rational Homology of the Tropical Moduli Spaces Δ2,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
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
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
The Groups and Nilpotent Lie Rings of Order p 8 with Maximal Class	0
On the Cohomology of GL 2 and SL 2 over Imaginary Quadratic Fields	0
An Algorithm to Find Ribbon Disks for Alternating Knots	0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type	0
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases	0
Four-Dimensional Painlevé-Type Difference Equations	0
Local Configurations in Union-Closed Families	0
Schwarzian Versus a Family of Moving Parabolic Points	0
Algorithmic Symplectic Packing	0
Accessibility of the Boundary of the Thurston Set	0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk	0

Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets	0
Infinitely Many Knots With NonIntegral Trace	0
Minimal Nonsolvable Bieberbach Groups	0
The Variety of Polar Simplices II	0
Foreword to: Special Issue on Interactive Theorem Provers	0
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II	0
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K  = 2 Conjecture	0
Ropelength and Writhe Quantization of 12-Crossing Knots	0
A New Orbit Closure in Genus 8?	0
Convolution and Square in Abelian Groups I	0
Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces	0
Heuristics for Anti-cyclotomic ℤp-extensions	0
The Reciprocal Algebraic Integers Having Small House	0
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums	0
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors	0
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions	0
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths	0
Roudneff’s Conjecture in Dimension 4	0
A Concrete Model for the Quantum Permutation Group on 4 Points	0
Eckardt Points on a Cubic Threefold	0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II	0
Zeros of Fractional Derivatives of Polynomials	0
Opers and Non-Abelian Hodge: Numerical Studies	0
On Projective Evolutes of Polygons	0
Primes in Short Intervals: Heuristics and Calculations	0
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	0
Lebesgue Constants for Cantor Sets	0
Intersection Numbers on Fibrations and Catalan Numbers	0
Kronecker Sequences with Many Distances	0
The Farthest Point Map on the Regular Octahedron	0
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces	0
Graph Coverings and (Im)primitive Homology: Examples of Low Degree	0
Conjectures for Cutting Pizza with Coxeter Arrangements	0
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number	0
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups	0
Polytopality of Simple Games	0
There are Salem Numbers with Trace –3 and Every Degree At Least 34	0
Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure	0
Spectral Gap for the Cohomological Laplacian of SL 3 (ℤ)	0
Characterizing 3-Sets in Union-Closed Families	0
Coxeter Quotients of Knot Groups through 16 Crossings	0
Powerfully Nilpotent Groups of Class 2	0
Haemers’ Conjecture: An Algorithmic Perspective	0
A 2-Compact Group as a Spets	0
Systolic Geometry of Translation Surfaces	0
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices	0
Piecewise flat Ricci flow of compact without boundary three-manifolds	0
Continued Fraction Expansions Towards Zaremba’s Conjecture	0
Orbifold del Pezzo Surfaces in P1×P1×P1 Format	0
Sampling Algebra Structures on Minimal Free Resolutions of Length 3	0
On Graphs of a Finite Full Transformation Semigroup	0
Structures in HOMFLY-PT Homology	0
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	0
Earthquakes on the Once-Punctured Torus	0
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models	0
A Cable Knot and BPS-Series II	0
Crepant Resolutions, Mutations, and the Space of Potentials	0
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups	0
Gaps Between Consecutive Primes and the Exponential Distribution	0
Deflation Conjecture and Local Dimensions of Brent Equations	0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties	0
The 4 × 4 Orthostochastic Variety	0
Planar Stick Indices of Some Knotted Graphs	0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves	0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces	0
Small Mahler Measures From Digraphs	0
Asymptotic Behavior of Kac Polynomials	0
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	0
Murmurations of Elliptic Curves	0
Continued Fractions, Orthogonal Polynomials and Dirichlet Series	0
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	0
A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme	0
Topological Bounds on Hyperkähler Manifolds	0
Counting Minimal Triples for a Generalized Markoff Equation	0
On the Arithmetic of Generalized Fekete Polynomials	0
No Eleventh Conditional Ingleton Inequality	0
Hilbert Series of Generic Ideals in Products of Projective Spaces	0
Formalizing Galois Theory	0
Redundancy of Triangle Groups in Spherical CR Representations	0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points	0

Clasper Presentations of Habegger-Lin’s Action on String Links	0
Correction	0
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures	0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs	0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space	0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals	0
Heuristics for 2-class Towers of Cyclic Cubic Fields	0
Combinatorics of Correlated Equilibria	0