OOIR: Observatory of International Research

Papers

(The median citation count of SIAM Journal on Applied Algebra and Geometry 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 2022-06-01 to 2026-06-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	81
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	16
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	15
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	15
Families of Markov Chains with Compatible Symmetric-Group Actions	14
On the Stability of Multigraded Betti Numbers and Hilbert Functions	11
${K}$-Positivity Preservers and Their Generators	10
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	10
Santaló Geometry of Convex Polytopes	10
Harmonic Persistent Homology	9
The Topological Behavior of Preferential Attachment Graphs	8
Dense Generic Well-Rounded Lattices	8
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	8
A Gap in the Subrank of Tensors	7
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
Computing Geometric Feature Sizes for Algebraic Manifolds	6
Geometry and Optimization of Shallow Polynomial Networks	6
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on ${\ell^1}$-Norm Theta Functions	6
Algebraically Independent Generators for the Invariant Field of ${\textrm{SO}_{3}({\mathbb{R}})}$ and ${\textrm{O}_{3}({\mathbb{R}})}$ Representations ${{\mathbb{R}}^3\oplus {\mathcal{H}}}$	6
Higher-Degree Symmetric Rank-Metric Codes	5
Irrational Quantum Walks	5
Robust Numerical Algebraic Geometry	5
Spinor-Helicity Varieties	5

Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	5
Clubs and Their Applications	4
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	4
A Sum of Squares Characterization of Perfect Graphs	4
Bayesian Integrals on Toric Varieties	4
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
Persistent Homology of Semialgebraic Sets	4
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	4
Area Formula for Spherical Polygons via Prequantization	3
Decomposable Context-Specific Models	3
Analog Category and Complexity	3
The Algebraic Boundary of the Sonc-Cone	3
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	3
Algebraic Experimental Design: Theory and Computation	3
Algebraic Sparse Factor Analysis	3
Tangent Space and Dimension Estimation with the Wasserstein Distance	3
Motion Polynomials Admitting Factorization with Linear Factors	3
Hulls of Projective Reed–Muller Codes over the Projective Plane	3
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	3
A Computer Vision Problem in Flatland	3
A Refinement of Hilbert’s 1888 Theorem: Separating Cones Along the Veronese Variety	3
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	2
Complete ${\boldsymbol{SE(3)}}$ Invariants for a Comeagre Set of ${\boldsymbol{C^3}}$ Compact Orientable Surfaces in $\mathbb{R}^{\boldsymbol{3}}$	2
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	2
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	2
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	2
Toric and Non-toric Bayesian Networks	2
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	2
The Polyhedral Geometry of Pivot Rules and Monotone Paths	2
Last Fall Degree of Semilocal Polynomial Systems	2
Isometry-Dual Flags of Many-Point AG Codes	2
Homological Algebra of Modules over Posets	2
Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction	2
A Random Copositive Matrix Is Completely Positive with Positive Probability	2
Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks	2
Optimal Encodings to Elliptic Curves of $\boldsymbol{j}$-Invariants 0, 1728	2
Effective Equation Solving, Constraints, and Growth in Virtually Abelian Groups	2
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	1
Equidistant Circular Split Networks	1
Tropical Toric Maximum Likelihood Estimation	1
Complex Links and Hilbert–Samuel Multiplicities	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Multitriangulations and Tropical Pfaffians	1
Squared Linear Models	1
A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics	1
On Uniqueness of Power Sum Decomposition	1
Decomposition Algorithms for Tensors and Polynomials	1
Orbit Recovery for Band-Limited Functions	1

Generalized Permutahedra and Optimal Auctions	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
Discrete Differential Geometry for ${C}^{{1,1}}$ Hyperbolic Surfaces of Nonconstant Curvature	1
Computing the Conley Index: A Cautionary Tale	1
The Maximum Likelihood Degree of Sparse Polynomial Systems	1
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	1
Sampling from $\boldsymbol{p}$-Adic Algebraic Manifolds	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Geometric Approaches to Persistent Homology	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
The Subrank of a Complex Symmetric Tensor Can Exceed its Symmetric Subrank	1
Discrete Signature Varieties	1
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics	1

Generalized Permutahedra and Optimal Auctions	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
Discrete Differential Geometry for \({C}^{{1,1}}\) Hyperbolic Surfaces of Nonconstant Curvature	1
Computing the Conley Index: A Cautionary Tale	1
The Maximum Likelihood Degree of Sparse Polynomial Systems	1
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	1
Sampling from \(\boldsymbol{p}\)-Adic Algebraic Manifolds	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Geometric Approaches to Persistent Homology	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
The Subrank of a Complex Symmetric Tensor Can Exceed its Symmetric Subrank	1
Discrete Signature Varieties	1
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics	1