About the archive

A research archive with explicit boundaries.

This site organizes public research, notes, definitions, theorem dependencies, conjectures, claim boundaries, and open problems. It is designed to remain modular as the research program changes.

Mathematical status

Theorem, conjecture, boundary, and question are different records.

A theorem is not promoted from a conjecture by presentation. An open problem is not silently treated as a predicted theorem. Claim boundaries mark where the public record does not authorize a stronger inference.

Publication status

Public metadata does not mean public manuscript access.

Some records remain visible while their technical manuscripts are withheld during editorial review, pending release, or otherwise controlled. Artifact availability is governed separately from mathematical identity.

Research assistance

Tools may assist the work; they do not own the claims.

Computational tools and language models may be used for organization, checking, coding, formatting, comparison, or drafting. Mathematical decisions, source selection, claim boundaries, and final research responsibility remain with the author.

For students

Open problems are meant to be worked on.

Students and early-career researchers are strongly encouraged to reconstruct the definitions, test examples and counterexamples, and attempt the open problems independently before consulting an LLM. The first encounter with the mathematics should be their own.

Version and provenance

The public site is generated from a typed archive. Source records carry stable IDs and explicit visibility/access states. Historical and superseded records are retained rather than silently overwritten.