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 2021-04-01 to 2025-04-01.)
ArticleCitations
Computer Bounds for Kronheimer–Mrowka Foam Evaluation15
Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points8
Asymptotic Behavior of Kac Polynomials7
The Reciprocal Algebraic Integers Having Small House6
Planar Stick Indices of Some Knotted Graphs5
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow5
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types5
Redundancy of Triangle Groups in Spherical CR Representations5
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct5
There are Salem Numbers with Trace –3 and Every Degree At Least 345
Kronecker Sequences with Many Distances4
Decomposing Jacobians Via Galois covers4
Infinitely Many Knots With NonIntegral Trace4
The Beauty of Random Polytopes Inscribed in the 2-Sphere4
Conjectures for Cutting Pizza with Coxeter Arrangements4
Foreword to: Special Issue on Interactive Theorem Provers4
Hyperbolic 24-Cell 4-Manifolds With One Cusp4
Facets in the Vietoris–Rips Complexes of Hypercubes3
Ray-Marching Thurston Geometries3
On the Special Identities of Gelfand–Dorfman Algebras3
Powerfully Nilpotent Groups of Class 23
Dynamics of Zeroes Under Repeated Differentiation3
Adventures in Supersingularland3
Convolution and Square in Abelian Groups I3
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps3
Formalizing Ordinal Partition Relations Using Isabelle/HOL3
Computing Heights via Limits of Hodge Structures2
Higher Rademacher Symbols2
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces2
Are the Collatz and abc Conjectures Related?2
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces2
Systolic Geometry of Translation Surfaces2
Gaps Between Consecutive Primes and the Exponential Distribution2
A Family of Horn-Bernstein Functions2
A Billiard in an Open Circle and the Riemann Zeta Function2
Algorithmic Symplectic Packing2
No Eleventh Conditional Ingleton Inequality2
A Cable Knot and BPS-Series II1
Primes in Short Intervals: Heuristics and Calculations1
Heuristics for 2-class Towers of Cyclic Cubic Fields1
Growth of Mahler Measure and Algebraic Entropy of Dynamics with the Laurent Property1
A Genetic Algorithm to Search the Space of Ehrhart h *-Vectors1
Opers and Non-Abelian Hodge: Numerical Studies1
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number1
Conjectures for Moments Associated With Cubic Twists of Elliptic Curves1
Universality of Nodal Count Distribution in Large Metric Graphs1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections1
An Interpolation From Sol to Hyperbolic Space1
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL1
Recovery from Power Sums1
Orbits on K3 Surfaces of Markoff Type1
Orbifold del Pezzo Surfaces in ℙ 1  × ℙ 1  × ℙ 1 Format1
Accessibility of the Boundary of the Thurston Set1
The Farthest Point Map on the Regular Octahedron1
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases1
Free Convolution Powers Via Roots of Polynomials1
Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves1
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings1
Zeros of Fractional Derivatives of Polynomials1
An Infinite Family of Counterexamples to a Conjecture on Distance Magic Labeling1
Clasper Presentations of Habegger-Lin’s Action on String Links1
Earthquakes on the Once-Punctured Torus1
Characteristic Cycles of IH Sheaves of Simply Laced Minuscule Schubert Varieties Are Irreducible1
Combinatorics of Correlated Equilibria1
The Groups and Nilpotent Lie Rings of Order p 8 with Maximal Class1
A Concrete Model for the Quantum Permutation Group on 4 Points1
ACC for F -Signature: A Likely Counterexample0
L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models0
L-space knots with tunnel number >1 by experiment0
On the Cohomology of GL 2 and SL 2 over Imaginary Quadratic Fields0
Counting Pop-Stacked Permutations in Polynomial Time0
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces0
Effective Reconstruction of Generic Genus 5 Curves from their Theta Hyperplanes0
Sampling Algebra Structures on Minimal Free Resolutions of Length 30
Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces0
New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences0
On the Asymptotic Behavior of the Quantiles in the Gamma Distribution0
Roudneff’s Conjecture in Dimension 40
Spectral Gap for the Cohomological Laplacian of SL 3 (ℤ)0
Large-Time Series Expansion of the Wave Front Length in the Euclidean Disk0
A Numerical Stability Analysis of Mean Curvature Flow of Noncompact Hypersurfaces with Type-II Curvature Blowup: II0
Algebraic Number Starscapes0
Conjectural Criteria for the Most Singular Points of the Hilbert Schemes of Points0
Critical Lengths of Steklov Eigenvalues of Hypersurfaces of Revolution in Euclidean Space0
Characterizing 3-Sets in Union-Closed Families0
Structures in HOMFLY-PT Homology0
Sinkhorn Algorithm for Quantum Permutation Groups0
On Graphs of a Finite Full Transformation Semigroup0
On Projective Evolutes of Polygons0
Counting Minimal Triples for a Generalized Markoff Equation0
Empirical Properties of Optima in Free Semidefinite Programs0
Representations of Deligne-Mostow lattices into0
Counterexamples to a Conjecture of Ahmadi and Shparlinski0
Even-Carry Polynomials and Cohomology of the Incidence Correspondence in Positive Characteristic0
Numerical Evidence of Robust Dynamical Spectral Rigidity of Ellipses Among Smooth -Symmetric Domains0
Deflation Conjecture and Local Dimensions of Brent Equations0
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups0
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ0
On Saturation of Zero-Dimensional Ideals0
Hadwiger’s Conjecture with Certain Forbidden Induced Subgraphs0
Eckardt Points on a Cubic Threefold0
Murmurations of Elliptic Curves0
Continued Fractions, Orthogonal Polynomials and Dirichlet Series0
Piecewise flat Ricci flow of compact without boundary three-manifolds0
A Family of Iterated Maps on Natural Numbers0
Graph Coverings and (Im)primitive Homology: Examples of Low Degree0
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols0
Multiple Extremal Disc-Packings in Compact Hyperbolic Surfaces0
A Computational View on the Non-degeneracy Invariant for Enriques Surfaces0
An Exploration of Degeneracy in Abelian Varieties of Fermat Type0
Positive Plücker tree certificates for non-realizability0
Lebesgue Constants for Cantor Sets0
Small Values of |L'/L(1,χ)|0
On Subgroups Finite Index in Complex Hyperbolic Lattice Triangle Groups0
Correction0
Small Mahler Measures From Digraphs0
The 4 × 4 Orthostochastic Variety0
Schwarzian Versus a Family of Moving Parabolic Points0
Crossing the Transcendental Divide: From Translation Surfaces to Algebraic Curves0
Real and Complex Multiplication on K 3 Surfaces via Period Integration0
Continued Fraction Expansions Towards Zaremba’s Conjecture0
Triangular Diagonal Harmonics Conjectures0
Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure0
Tortuosity of Delaunay Triangulations and Statistics of Shortest Paths0
A Construction of Multiplicity Class of Hypersurfaces From Hesselink Stratification of a Hilbert Scheme0
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties0
Homology Representations of Compactified Configurations on Graphs Applied to ???? 2,n0
Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups0
Haemers’ Conjecture: An Algorithmic Perspective0
Ropelength and Writhe Quantization of 12-Crossing Knots0
Topological Bounds on Hyperkähler Manifolds0
Confirming Brennan’s Conjecture Numerically on a Counterexample to Thurston’s K  = 2 Conjecture0
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices0
Computation of the Taut, the Veering and the Teichmüller Polynomials0
A New Orbit Closure in Genus 8?0
An Experimental Study of the Choquet Integral based on Conditional Aggregation Operators0
The Schwarzian Derivative and the Degree of a Classical Minimal Surface0
Minimal Nonsolvable Bieberbach Groups0
The Variety of Polar Simplices II0
Four-Dimensional Painlevé-Type Difference Equations0
New Borwein-Type Conjectures0
A Legendrian Knot Atlas for Knots of Arc Index 100
Enumeration of Rational Cuspidal Curves via the WDVV Equation0
A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture0
Liquid Tensor Experiment0
Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions0
Hilbert Series of Generic Ideals in Products of Projective Spaces0
Schemes in Lean0
Coxeter Quotients of Knot Groups through 16 Crossings0
Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions0
Spectral Pseudorandomness and the Road to Improved Clique Number Bounds for Paley Graphs0
New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals0
diffstrata—A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials0
Statfda: A User-Friendly Web Application to Analyse Curves Data from a Functional Perspective0
Quotient Graphs and Amalgam Presentations for Unitary Groups Over Cyclotomic Rings0
Formalizing Galois Theory0
Intersection Numbers on Fibrations and Catalan Numbers0
On the Cohomology Groups of Real Lagrangians in Calabi–Yau Threefolds0
Erratum to the Paper “On Skew Braces and Their Ideals”0
Real-Time Visualization in Anisotropic Geometries0
Crepant Resolutions, Mutations, and the Space of Potentials0
An Algorithm to Find Ribbon Disks for Alternating Knots0
Heuristics for Anti-cyclotomic ℤ p -extensions0
Nilpotence, Weak Nilpotence, and the Nil Property in the Nonassociative World: Computations and Conjectures0
New Stick Number Bounds from Random Sampling of Confined Polygons0
A ℕatural Avenue0
Discrete Dynamical Systems From Real Valued Mutation0
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions0
Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem0
A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums0
On the Arithmetic of Generalized Fekete Polynomials0
Experimental Statistics for Mirzakhani’s Theorem0
Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II0
Hard Diagrams of the Unknot0
Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets0
A 2-Compact Group as a Spets0
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves0
Local Configurations in Union-Closed Families0
Polytopality of Simple Games0
Density of Binary Disc Packings: Lower and Upper Bounds0
Self-Dual Matroids from Canonical Curves0
Some Singular Curves in Mukai’s Model of 70
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