6 papers
Combinatorial Cycle Classes in the Intersection Cohomology of Projective Toric Varieties
Rizwan Jahangir, Daisuke Ishii
We investigate cycle-class realizations inside the combinatorial intersection cohomology for fans developed by Barthel, Brasselet, Fieseler, and Kaup (BBFK). For projective toric v…
The Accessibility Capability Boundary: Operational Limits and Expansion Potential of AI-Generated Browser-Native Accessibility Systems
Rizwan Jahangir, Daisuke Ishii
As large language models (LLMs) demonstrate increasing competence in synthesizing functional user interfaces, a fundamental question emerges in accessibility computing: \textit{how…
Explainable PQC: A Layered Interpretive Framework for Post-Quantum Cryptographic Security Assumptions
Daisuke Ishii, Rizwan Jahangir
This paper studies how post-quantum cryptographic (PQC) security assumptions can be represented and communicated through a structured, layered framework that is useful for technica…
Canonical Lattices of Integer Relations Associated to Rational Fans: Wall Generation and a Two-Step Support Filtration
Rizwan Jahangir, Daisuke Ishii
We study the lattice of integer relations among the primitive ray generators of a rational fan , from an intrinsic,…
Collections of cells, binomial ideals and combinatorics
Carmelo Cisto, Rizwan Jahangir, Francesco Navarra
In this paper we provide a description of the package \textit{PolyominoIdeals} for \textit{Macaulay2} that allows to deal with collections of cells, polyominoes and related binomia…
On Cohen-Macaulay non-prime collections of cells
Carmelo Cisto, Rizwan Jahangir, Francesco Navarra
In this paper we investigate Cohen-Macaulayness, Gorensteinness and the Hilbert-Poincaré series for some classes of non-prime collections of cells. In particular, we show that all…