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Gabriel Barbosa

Publications and source records attributed to Gabriel Barbosa.

3 recordsLinked to original sources
arXiv2026

Thinking Through Signs: PEEL as a Semiotic Scaffolding for Epistemically Accountable AI-Enabled Research

Large language models are reshaping research practice while quietly eroding researchers epistemic accountability. This commentary introduces PEEL - Protocols for Epistemically Engaged Literacy in AI, a working scaffolding that combines deterministic distant reading via Voyant Tools with LLM interpretation via Claude, grounded in Peircean semiotics and abductive reasoning. Applied to AI-generated condensations of three source texts, PEEL reveals systematic distortions in quantity, term frequency, and epistemic voice that are invisible without non-AI measurement -- and yields three design implications: deterministic instruments must accompany AI tools; fluency is not fidelity; epistemic authority must be designed in, not assumed.

cs.AI↗
arXiv2026

Stacky geometry and logarithmic topology of transversely affine foliations

We study the stacky and logarithmic-topological structures associated with transversely affine affine foliations. To such a foliation we attach its holonomy group and the corresponding quotient stack, which provides the natural geometric base for the multiplicative developing coordinate. Holomorphic and meromorphic reparametrisations are then identified with endomorphisms of this stack and of its compactification, yielding a geometric Singer-type theorem. We then classify these reparametrisations according to the geometry of the holonomy group. On the logarithmic-topological side, we pass to the Kato-Nakayama space, where the residues define canonical boundary characters, govern the induced linear dynamics on the boundary tori, and give rise to a canonical logarithmic lift of the developing map. In this way, the quotient stack controls the linear part of the theory, while the Kato-Nakayama space captures its logarithmic-topological and dynamical content.

math.AG↗