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 2021-08-01 to 2025-08-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	39
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	13
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	11
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	10
Santaló Geometry of Convex Polytopes	8
On the Stability of Multigraded Betti Numbers and Hilbert Functions	8
The Topological Behavior of Preferential Attachment Graphs	7
Dense Generic Well-Rounded Lattices	7
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	7
Harmonic Persistent Homology	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	6
Computing Geometric Feature Sizes for Algebraic Manifolds	6
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	6
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	6
A Gap in the Subrank of Tensors	6
Irreducibility of the Dispersion Polynomial for Periodic Graphs	6
On Transversality of Bent Hyperplane Arrangements and the Topological Expressiveness of ReLU Neural Networks	6
On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate	5
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5
Irrational Quantum Walks	5
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
Clubs and Their Applications	4
Higher-Degree Symmetric Rank-Metric Codes	4

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