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 2022-08-01 to 2026-08-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	90
Isometric Surfaces in Isotropic 3-Space	16
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	16
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	15
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	14
Families of Markov Chains with Compatible Symmetric-Group Actions	12
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	11
On the Stability of Multigraded Betti Numbers and Hilbert Functions	10
${K}$-Positivity Preservers and Their Generators	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
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	7
Least Multivariate Chebyshev Polynomials on Diagonally Determined Sets	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
A Gap in the Subrank of Tensors	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	7
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	7
Computing Geometric Feature Sizes for Algebraic Manifolds	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
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
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	6
Spinor-Helicity Varieties	5

Irrational Quantum Walks	5
Higher-Degree Symmetric Rank-Metric Codes	5
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5
Clubs and Their Applications	5
Robust Numerical Algebraic Geometry	5
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	5
Decomposable Context-Specific Models	4
A Sum of Squares Characterization of Perfect Graphs	4
Bayesian Integrals on Toric Varieties	4
Persistent Homology of Semialgebraic Sets	4
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	4
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	4
Algebraic Varieties in Second Quantization	4
Area Formula for Spherical Polygons via Prequantization	3
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	3
Algebraic Experimental Design: Theory and Computation	3
The Generic Geometry of Steady State Varieties	3
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	3
The Algebraic Boundary of the Sonc-Cone	3
Algebraic Sparse Factor Analysis	3
Hulls of Projective Reed–Muller Codes over the Projective Plane	3
Motion Polynomials Admitting Factorization with Linear Factors	3
Analog Category and Complexity	3
On the Typical and Atypical Solutions to the Kuramoto Equations	3
Tangent Space and Dimension Estimation with the Wasserstein Distance	2
Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction	2
Homological Algebra of Modules over Posets	2
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	2
The Polyhedral Geometry of Pivot Rules and Monotone Paths	2
Dimension of Splines on Graphs in the Case of Degree Two and Smoothness One in Two Variables	2
A Refinement of Hilbert’s 1888 Theorem: Separating Cones Along the Veronese Variety	2
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	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
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	2
A Computer Vision Problem in Flatland	2
Toric and Non-toric Bayesian Networks	2
Complete ${\boldsymbol{SE(3)}}$ Invariants for a Comeagre Set of ${\boldsymbol{C^3}}$ Compact Orientable Surfaces in $\mathbb{R}^{\boldsymbol{3}}$	2
Effective Equation Solving, Constraints, and Growth in Virtually Abelian Groups	2
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	2
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	1
On Uniqueness of Power Sum Decomposition	1
On the Power of Graph Neural Networks and the Role of the Activation Function	1
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	1
Equidistant Circular Split Networks	1
Isometry-Dual Flags of Many-Point AG Codes	1
Tropical Toric Maximum Likelihood Estimation	1
Decomposition Algorithms for Tensors and Polynomials	1
Geometric Approaches to Persistent Homology	1
Discrete Signature Varieties	1

Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics	1
Discrete Differential Geometry for ${C}^{{1,1}}$ Hyperbolic Surfaces of Nonconstant Curvature	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	1
Orbit Recovery for Band-Limited Functions	1
Optimal Encodings to Elliptic Curves of $\boldsymbol{j}$-Invariants 0, 1728	1
Generalized Permutahedra and Optimal Auctions	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
Squared Linear Models	1
A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics	1
Multitriangulations and Tropical Pfaffians	1
Complex Links and Hilbert–Samuel Multiplicities	1
Sampling from $\boldsymbol{p}$-Adic Algebraic Manifolds	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
Last Fall Degree of Semilocal Polynomial Systems	1
The Polynomial Set Associated with a Fixed Number of Matrix-Matrix Multiplications	1
Complete Collineations for Maximum Likelihood Estimation	1

Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics	1
Discrete Differential Geometry for \({C}^{{1,1}}\) Hyperbolic Surfaces of Nonconstant Curvature	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	1
Orbit Recovery for Band-Limited Functions	1
Optimal Encodings to Elliptic Curves of \(\boldsymbol{j}\)-Invariants 0, 1728	1
Generalized Permutahedra and Optimal Auctions	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
Squared Linear Models	1
A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics	1
Multitriangulations and Tropical Pfaffians	1
Complex Links and Hilbert–Samuel Multiplicities	1
Sampling from \(\boldsymbol{p}\)-Adic Algebraic Manifolds	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
Last Fall Degree of Semilocal Polynomial Systems	1
The Polynomial Set Associated with a Fixed Number of Matrix-Matrix Multiplications	1
Complete Collineations for Maximum Likelihood Estimation	1