The researcher.

Principal investigator

Tesfaye Dereje

Independent researcher · Addis Ababa, Ethiopia

Independent mathematical researcher based in Addis Ababa, Ethiopia. Founder of the Tesfa Grid research programme. The original grid construction was discovered in January 2013; the formalization of the programme into its present three-volume structure was completed in March 2026.

The core motivation has remained consistent across the thirteen-year arc of the work: to find out whether the apparent disorder of the prime sequence conceals testable geometric and spectral regularities, and — if so — to establish those regularities with the rigor that allows them to be checked, criticized, and built upon by others.

Research interests

• Additive and multiplicative structure of prime gaps
• Geometric embeddings of integer sequences and their induced invariants
• Non-uniform spectral analysis of arithmetic sequences
• Connections between Tesfa-type operators and L-function zero distributions
• Deterministic sieve methods and their computational instantiations

Public record

Preprints (Spring 2026)

Volumes I and II of The Tesfa Grid. Submitted for peer review, arXiv submission forthcoming.

Code repositories

Reference implementations of the Tesfa Grid construction and its core theorems are published on GitHub: github.com/Teshgty.

Correspondence

research@tesfagrid.io for technical correspondence. See the contact page for other channels.

Correspondence style

Direct technical correspondence is welcomed and typically answered within one to two weeks. Corrections to published work are received gratefully — please include a specific reference to the page, theorem, or equation in question, and a clear statement of the issue.

Collaboration proposals are considered carefully. Please describe your background, what aspect of the programme you would like to engage with, and what kind of collaboration you have in mind (correspondent, co-author, referee, expositor, etc.).

The researcher is a non-native English speaker but reads and writes English comfortably. Precise, technical discussion is preferred over elaborate phrasing; plain mathematical prose is more welcome than ornate prose.

The commercial programme

The mathematics described on this site has an applied commercial sibling: Ethoryx Research, which develops cryptographic technology informed by the research programme. Ethoryx is operated by the same researcher but with a distinct focus: production-grade implementations, vendor integrations, and commercial partnerships.

The two are intentionally separate. The Tesfa Grid research programme publishes its mathematics openly as standard academic preprints; Ethoryx operates under commercial and intellectual-property constraints appropriate to applied technology. Commercial questions — API access, vendor integrations, licensing — should go to Ethoryx, not to this address.

Long-term vision

A long-term goal of this programme is the eventual establishment of the Tesfa Grid Institute — an independent mathematical research institution based in Addis Ababa. The Institute would support young Ethiopian mathematicians working in number theory and its computational applications, publish open research under its own imprint, and serve as a durable home for this and successor programmes.

This is a future commitment, not a present fact. The Institute does not yet exist. What exists is the intention, and the mathematics being accumulated here to make its eventual founding credible.