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

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	60
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	18
Enumerating Isotopy Classes of Tilings Guided by the Symmetry of Triply Periodic Minimal Surfaces	15
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	14
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	13
Families of Markov Chains with Compatible Symmetric-Group Actions	12
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	12
On the Stability of Multigraded Betti Numbers and Hilbert Functions	11
Harmonic Persistent Homology	9
Dense Generic Well-Rounded Lattices	9
${K}$-Positivity Preservers and Their Generators	9
Santaló Geometry of Convex Polytopes	9
The Topological Behavior of Preferential Attachment Graphs	8
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	8
Common Complements of Linear Subspaces and the Sparseness of MRD Codes	8
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	8
A Gap in the Subrank of Tensors	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
On Transversality of Bent Hyperplane Arrangements and the Topological Expressiveness of ReLU Neural Networks	6
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	6
Computing Geometric Feature Sizes for Algebraic Manifolds	6
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on ${\ell^1}$-Norm Theta Functions	6
Spinor-Helicity Varieties	5
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	5
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5

On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate	5
Clubs and Their Applications	4
Irrational Quantum Walks	4
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
Higher-Degree Symmetric Rank-Metric Codes	4
A Sum of Squares Characterization of Perfect Graphs	4
Existence of Two View Chiral Reconstructions	3
Decomposable Context-Specific Models	3
Area Formula for Spherical Polygons via Prequantization	3
Algebraic Experimental Design: Theory and Computation	3
Persistent Homology of Semialgebraic Sets	3
Bayesian Integrals on Toric Varieties	3
Algebraic Sparse Factor Analysis	3
Finiteness of Spatial Central Configurations with Fixed Subconfigurations	3
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	3
Hulls of Projective Reed–Muller Codes over the Projective Plane	3
Analog Category and Complexity	3
Tangent Space and Dimension Estimation with the Wasserstein Distance	3
A Lower Bound on the Dimension of the ${\mathbb{R}}$-Disguised Toric Locus of a Reaction Network	3
A Refinement of Hilbert’s 1888 Theorem: Separating Cones Along the Veronese Variety	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
A Random Copositive Matrix Is Completely Positive with Positive Probability	2
Bivariate Splines on a Triangulation with a Single Totally Interior Edge	2
The Algebraic Boundary of the Sonc-Cone	2
Flat Tori with Large Laplacian Eigenvalues in Dimensions up to Eight	2
Effective Equation Solving, Constraints, and Growth in Virtually Abelian Groups	2
Homological Algebra of Modules over Posets	2
Differential Equations for Gaussian Statistical Models with Rational Maximum Likelihood Estimator	2
Topological Properties of Network Spring Models that Determine Terminal Distributions of Plastic Deformations	2
Motion Polynomials Admitting Factorization with Linear Factors	2
Toric and Non-toric Bayesian Networks	2
Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks	2
Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds	2
Computing Circuit Polynomials in the Algebraic Rigidity Matroid	1
Nonnegative Polynomials and Circuit Polynomials	1
A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics	1
Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity	1
Multitriangulations and Tropical Pfaffians	1
Orbit Recovery for Band-Limited Functions	1
Reduction by Symmetries of Contact Mechanical Systems on Lie Groups	1
The Polyhedral Geometry of Pivot Rules and Monotone Paths	1
Optimal Encodings to Elliptic Curves of $\boldsymbol{j}$-Invariants 0, 1728	1
$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes	1
The Maximum Likelihood Degree of Sparse Polynomial Systems	1
Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States	1
Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks	1
Erratum for “Morphisms of Neural Codes''	1
Equidistant Circular Split Networks	1
Generalized Permutahedra and Optimal Auctions	1

Isometry-Dual Flags of Many-Point AG Codes	1
Geometric Approaches to Persistent Homology	1
Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology	1
Decomposition Algorithms for Tensors and Polynomials	1
On Uniqueness of Power Sum Decomposition	1
Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices	1
Complex Links and Hilbert–Samuel Multiplicities	1
Tropical Toric Maximum Likelihood Estimation	1
Construction of Good Codes from Weak del Pezzo Surfaces	1
Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description	1
Sampling from $\boldsymbol{p}$-Adic Algebraic Manifolds	1