Independent research

Proofs, measurements, conjectures, and killed hypotheses stay separate.

The research is a depth signal, not an attempt to turn a product portfolio into an academic identity. The same discipline applies: claim only the status the evidence supports.

Featured manuscript

Hollow geometric-decay Toeplitz / KMS matrices

Work on a matrix family with closed-form determinant structure, an explicit sinusoidal eigensystem / Poisson-kernel spectrum, an arithmetic singularity criterion, near-singularity depth, inertia, and conditioning.

The mature research record separates what is proved from what is numerical, conjectural, or killed. Verification scripts accompany the mathematical work.

File status

The current manuscript PDF is not published on this site yet. I would rather leave the link absent than point to a stale or ambiguous file. Available on request until the final manuscript is added.

Sunrise over layered mountains
Writing

AI-assisted work, judgment, representation, and what changes when good sentences become cheap.

I publish longer-form writing on Substack rather than duplicating a blog engine here.

Read on Substack →