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 2022-06-01 to 2026-06-01.)

Article	Citations
Geometry of the Signed Support of a Multivariate Polynomial and Descartes’ Rule of Signs	81
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums	16
The Barycenter in Free Nilpotent Lie Groups and Its Application to Iterated-Integrals Signatures	15
Coupled Cluster Theory: Toward an Algebraic Geometry Formulation	15
Families of Markov Chains with Compatible Symmetric-Group Actions	14
On the Stability of Multigraded Betti Numbers and Hilbert Functions	11
Symmetrically Colored Gaussian Graphical Models with Toric Vanishing Ideals	10
Santaló Geometry of Convex Polytopes	10
\({K}\)-Positivity Preservers and Their Generators	10
Harmonic Persistent Homology	9
Dense Generic Well-Rounded Lattices	8
Nonsmooth Nonholonomic Reduction for Mechanical Systems with Collisions	8
The Topological Behavior of Preferential Attachment Graphs	8
Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions	7
Automorphisms of Rank-One Generated Hyperbolicity Cones and Their Derivative Relaxations	7
Irreducibility of the Dispersion Polynomial for Periodic Graphs	7
A Gap in the Subrank of Tensors	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
Computing Geometric Feature Sizes for Algebraic Manifolds	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
Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I	5
Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry	5
Higher-Degree Symmetric Rank-Metric Codes	5
Irrational Quantum Walks	5

Robust Numerical Algebraic Geometry	5
Spinor-Helicity Varieties	5
An Algebraic Point of View on the Generation of Pairing-Friendly Curves	4
Persistent Homology of Semialgebraic Sets	4
A Yannakakis- Type Theorem for Lifts of Affine Semigroups	4
Clubs and Their Applications	4
A Lower Bound on the Dimension of the \({\mathbb{R}}\)-Disguised Toric Locus of a Reaction Network	4
A Sum of Squares Characterization of Perfect Graphs	4
Bayesian Integrals on Toric Varieties	4