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 2021-10-01 to 2025-10-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	47
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	16
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	14
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	14
Enumerating Isotopy Classes of Tilings Guided by the Symmetry of Triply Periodic Minimal Surfaces	11
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	11
Families of Markov Chains with Compatible Symmetric-Group Actions	9
On the Stability of Multigraded Betti Numbers and Hilbert Functions	9
Harmonic Persistent Homology	8
Dense Generic Well-Rounded Lattices	8
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	8
Santaló Geometry of Convex Polytopes	8
The Topological Behavior of Preferential Attachment Graphs	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	6
A Gap in the Subrank of Tensors	6
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	6
Irreducibility of the Dispersion Polynomial for Periodic Graphs	6
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on ${\ell^1}$-Norm Theta Functions	6
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	6
On Transversality of Bent Hyperplane Arrangements and the Topological Expressiveness of ReLU Neural Networks	6
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	6
Irrational Quantum Walks	5
Computing Geometric Feature Sizes for Algebraic Manifolds	5
Higher-Degree Symmetric Rank-Metric Codes	4
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	4

On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate	4
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	3
Persistent Homology of Semialgebraic Sets	3
Bayesian Integrals on Toric Varieties	3
Clubs and Their Applications	3
Existence of Two View Chiral Reconstructions	3
Algebraic Experimental Design: Theory and Computation	3
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	3
A Sum of Squares Characterization of Perfect Graphs	3
Decomposable Context-Specific Models	3
Hulls of Projective Reed–Muller Codes over the Projective Plane	3
Algebraic Sparse Factor Analysis	2
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	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
Tangent Space and Dimension Estimation with the Wasserstein Distance	2
Analog Category and Complexity	2
Motion Polynomials Admitting Factorization with Linear Factors	2
Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction	2
Complete ${\boldsymbol{SE(3)}}$ Invariants for a Comeagre Set of ${\boldsymbol{C^3}}$ Compact Orientable Surfaces in $\mathbb{R}^{\boldsymbol{3}}$	2
The Algebraic Boundary of the Sonc-Cone	2
Area Formula for Spherical Polygons via Prequantization	2
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	2
Toric and Non-toric Bayesian Networks	2
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	2
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	1
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
Complex Links and Hilbert–Samuel Multiplicities	1
Sampling from $\boldsymbol{p}$-Adic Algebraic Manifolds	1
Orbit Recovery for Band-Limited Functions	1
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	1
Geometric Approaches to Persistent Homology	1
Effective Equation Solving, Constraints, and Growth in Virtually Abelian Groups	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
Generalized Permutahedra and Optimal Auctions	1
Multitriangulations and Tropical Pfaffians	1
Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology	1
Equidistant Circular Split Networks	1
Decomposition Algorithms for Tensors and Polynomials	1
Isometry-Dual Flags of Many-Point AG Codes	1
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	1
Homological Algebra of Modules over Posets	1
A Random Copositive Matrix Is Completely Positive with Positive Probability	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	1
Tropical Toric Maximum Likelihood Estimation	1
The Polyhedral Geometry of Pivot Rules and Monotone Paths	1
Optimal Encodings to Elliptic Curves of $\boldsymbol{j}$-Invariants 0, 1728	1

Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks