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 2021-09-01 to 2025-09-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	43
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
Enumerating Isotopy Classes of Tilings Guided by the Symmetry of Triply Periodic Minimal Surfaces	13
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	11
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	11
Santaló Geometry of Convex Polytopes	9
On the Stability of Multigraded Betti Numbers and Hilbert Functions	8
Families of Markov Chains with Compatible Symmetric-Group Actions	8
Dense Generic Well-Rounded Lattices	8
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	7
Harmonic Persistent Homology	7
The Topological Behavior of Preferential Attachment Graphs	6
Irreducibility of the Dispersion Polynomial for Periodic Graphs	6
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	6
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	6
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	6
Computing Geometric Feature Sizes for Algebraic Manifolds	6
A Gap in the Subrank of Tensors	6
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	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
Irrational Quantum Walks	4
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	4

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