OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Applied Algebra and Geometry is 4. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	90
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	16
Isometric Surfaces in Isotropic 3-Space	16
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
Families of Markov Chains with Compatible Symmetric-Group Actions	12
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	11
\({K}\)-Positivity Preservers and Their Generators	10
Santaló Geometry of Convex Polytopes	10
On the Stability of Multigraded Betti Numbers and Hilbert Functions	10
Harmonic Persistent Homology	9
The Topological Behavior of Preferential Attachment Graphs	8
Dense Generic Well-Rounded Lattices	8
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	7
Least Multivariate Chebyshev Polynomials on Diagonally Determined Sets	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
A Gap in the Subrank of Tensors	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	7
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	7
Algebraically Independent Generators for the Invariant Field of \({\textrm{SO}_{3}({\mathbb{R}})}\) and \({\textrm{O}_{3}({\mathbb{R}})}\) Representations \({{\mathbb{R}}^3\oplus {\mathcal{H}}}\)	6
Geometry and Optimization of Shallow Polynomial Networks	6
A Design Criterion for the Rayleigh Fading Wiretap Channel Based on \({\ell^1}\)-Norm Theta Functions	6
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	6
Computing Geometric Feature Sizes for Algebraic Manifolds	6
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5

Clubs and Their Applications	5
Robust Numerical Algebraic Geometry	5
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	5
Spinor-Helicity Varieties	5
Irrational Quantum Walks	5
Higher-Degree Symmetric Rank-Metric Codes	5
Bayesian Integrals on Toric Varieties	4
Persistent Homology of Semialgebraic Sets	4
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	4
A Lower Bound on the Dimension of the \({\mathbb{R}}\)-Disguised Toric Locus of a Reaction Network	4
Algebraic Varieties in Second Quantization	4
Decomposable Context-Specific Models	4
A Sum of Squares Characterization of Perfect Graphs	4