Papers

Formal publications, preprints, and supporting resources.

Each paper gets a stable landing page with a plain-language summary, a PDF, a DOI, and links to its Zenodo archive and any interactive supporting artifacts. Current work is in applied mathematics and decision systems; the publication record from an earlier research career in chemistry is preserved at the bottom of the list.

Diagram of a coupled cognitive system: agent, tools, environment, feedback, and memory connected in one circuit.

Gregory Bateson and AI: Circuits, Mind, and the Systems We Are Building

How Bateson’s cybernetic vocabulary — information as a difference which makes a difference, mind as an extended circuit, hierarchical learning — sharpens questions about modern AI systems. Published technical note, with a companion podcast conversation.

Roadmap diagram: the incidence matrix B branching into conservation, edge differences, Laplacians, resistor networks, and random walks.

Incidence and Equilibrium on Graphs: How Conservation Leads to Integrality, Laplacians, Resistor Networks, and Random Walks

An expository tour of the incidence matrix as a unifying operator: conservation laws, total unimodularity, integral network optimization, graph Laplacians, resistor networks, harmonic functions, and random walks. Published technical note.

Papers

Gregory Bateson and AI: Circuits, Mind, and the Systems We Are Building

Incidence and Equilibrium on Graphs: How Conservation Leads to Integrality, Laplacians, Resistor Networks, and Random Walks

Decomposition Methods for Mixed-Integer Linear Programs

When Addition Becomes Optimization: Tropical Algebra, Paths, Schedules, and Semiring Computation

Earlier Work: Chemistry (2002–2019)