OOIR: Observatory of International Research

Papers

(The TQCC of Experimental Mathematics is 1. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Computer Bounds for Kronheimer–Mrowka Foam Evaluation	15
Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points	7
Asymptotic Behavior of Kac Polynomials	7
The Reciprocal Algebraic Integers Having Small House	6
Internal Congruences Modulo Powers of 5 for Partition k -Tuples with Odd Parts Distinct	5
There are Salem Numbers with Trace –3 and Every Degree At Least 34	5
Planar Stick Indices of Some Knotted Graphs	5
Cohomology fractals, Cannon–Thurston maps, and the geodesic flow	5
Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types	5
Redundancy of Triangle Groups in Spherical CR Representations	5
Conjectures for Cutting Pizza with Coxeter Arrangements	4
Infinitely Many Knots With NonIntegral Trace	4
Hyperbolic 24-Cell 4-Manifolds With One Cusp	4
Foreword to: Special Issue on Interactive Theorem Provers	4
Kronecker Sequences with Many Distances	4
The Beauty of Random Polytopes Inscribed in the 2-Sphere	4
Formalizing Ordinal Partition Relations Using Isabelle/HOL	3
A Billiard in an Open Circle and the Riemann Zeta Function	3
Convolution and Square in Abelian Groups I	3
Algorithmic Symplectic Packing	3
Ray-Marching Thurston Geometries	3
Decomposing Jacobians Via Galois covers	3
Higher Rademacher Symbols	3
Dynamics of Zeroes Under Repeated Differentiation	3
Subdivisions of Hypersimplices: With a View Toward Finite Metric Spaces	2

Adventures in Supersingularland	2
Powerfully Nilpotent Groups of Class 2	2
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases	2
Equations at Infinity for Critical-Orbit-Relation Families of Rational Maps	2
Systolic Geometry of Translation Surfaces	2
No Eleventh Conditional Ingleton Inequality	2
A Cable Knot and BPS-Series II	2
On the Special Identities of Gelfand–Dorfman Algebras	2
Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces	2
Gaps Between Consecutive Primes and the Exponential Distribution	2
Computing Heights via Limits of Hodge Structures	2
The Schwarzian Derivative and the Degree of a Classical Minimal Surface	1
On the Cohomology of GL ₂ and SL ₂ over Imaginary Quadratic Fields	1
Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number	1
Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves	1
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann–Beenker Tilings	1
Recovery from Power Sums	1
Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL	1
Free Convolution Powers Via Roots of Polynomials	1
The Farthest Point Map on the Regular Octahedron	1
Opers and Non-Abelian Hodge: Numerical Studies	1
Deflation Conjecture and Local Dimensions of Brent Equations	1
Experimental Statistics for Mirzakhani’s Theorem	1
Orbifold del Pezzo Surfaces in ℙ ¹ × ℙ ¹ × ℙ ¹ Format	1
The Groups and Nilpotent Lie Rings of Order p ⁸ with Maximal Class	1
Primes in Short Intervals: Heuristics and Calculations	1
A Concrete Model for the Quantum Permutation Group on 4 Points	1
Zeros of Fractional Derivatives of Polynomials	1
A Family of Horn-Bernstein Functions	1
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves	1
Representations of Deligne-Mostow lattices into	1
Four-Dimensional Painlevé-Type Difference Equations	1
Accessibility of the Boundary of the Thurston Set	1
Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions	1
Heuristics for 2-class Towers of Cyclic Cubic Fields	1
Orbits on K3 Surfaces of Markoff Type	1
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections	1
An Interpolation From Sol to Hyperbolic Space	1
Universality of Nodal Count Distribution in Large Metric Graphs	1
Conjectures for Moments Associated With Cubic Twists of Elliptic Curves	1