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 2022-05-01 to 2026-05-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	77
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	19
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	16
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	15
Families of Markov Chains with Compatible Symmetric-Group Actions	15
Santaló Geometry of Convex Polytopes	14
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	11
Dense Generic Well-Rounded Lattices	10
On the Stability of Multigraded Betti Numbers and Hilbert Functions	10
${K}$-Positivity Preservers and Their Generators	10
Harmonic Persistent Homology	9
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	8
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	8
The Topological Behavior of Preferential Attachment Graphs	8
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on ${\ell^1}$-Norm Theta Functions	7
A Gap in the Subrank of Tensors	7
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
Geometry and Optimization of Shallow Polynomial Networks	6
Computing Geometric Feature Sizes for Algebraic Manifolds	6
Irrational Quantum Walks	5
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	5
Robust Numerical Algebraic Geometry	5
Spinor-Helicity Varieties	5
On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate	5

Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5
Higher-Degree Symmetric Rank-Metric Codes	5
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	4
Bayesian Integrals on Toric Varieties	4
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	4
Decomposable Context-Specific Models	4
Clubs and Their Applications	4
A Sum of Squares Characterization of Perfect Graphs	4
Persistent Homology of Semialgebraic Sets	4
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	3
The Algebraic Boundary of the Sonc-Cone	3
Algebraic Sparse Factor Analysis	3
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	3
Motion Polynomials Admitting Factorization with Linear Factors	3
A Refinement of Hilbert’s 1888 Theorem: Separating Cones Along the Veronese Variety	3
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	3
Algebraic Experimental Design: Theory and Computation	3
A Computer Vision Problem in Flatland	3
Tangent Space and Dimension Estimation with the Wasserstein Distance	3
Toric and Non-toric Bayesian Networks	3
Hulls of Projective Reed–Muller Codes over the Projective Plane	3
Area Formula for Spherical Polygons via Prequantization	3
Analog Category and Complexity	3
A Random Copositive Matrix Is Completely Positive with Positive Probability	2
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	2
Effective Equation Solving, Constraints, and Growth in Virtually Abelian Groups	2
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	2
Isometry-Dual Flags of Many-Point AG Codes	2
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	2
Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction	2
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	2
Homological Algebra of Modules over Posets	2
Last Fall Degree of Semilocal Polynomial Systems	2
Geometric Approaches to Persistent Homology	2
Complete ${\boldsymbol{SE(3)}}$ Invariants for a Comeagre Set of ${\boldsymbol{C^3}}$ Compact Orientable Surfaces in $\mathbb{R}^{\boldsymbol{3}}$	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
The Polyhedral Geometry of Pivot Rules and Monotone Paths	2
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	2
On Uniqueness of Power Sum Decomposition	1
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	1
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	1
Sampling from $\boldsymbol{p}$-Adic Algebraic Manifolds	1
Orbit Recovery for Band-Limited Functions	1
Generalized Permutahedra and Optimal Auctions	1
Multitriangulations and Tropical Pfaffians	1
Discrete Signature Varieties	1
Squared Linear Models	1
Discrete Differential Geometry for ${C}^{{1,1}}$ Hyperbolic Surfaces of Nonconstant Curvature	1

Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology	1
Equidistant Circular Split Networks	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
The Maximum Likelihood Degree of Sparse Polynomial Systems	1
A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics	1
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics	1
Decomposition Algorithms for Tensors and Polynomials	1
Tropical Toric Maximum Likelihood Estimation	1
Complex Links and Hilbert–Samuel Multiplicities	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Computing the Conley Index: A Cautionary Tale	1