RESEARCH MAP · RESEARCH CV · ORCID · PUBLIC REPOSITORIES
I'm Prince Upadhyay, an independent researcher in India. My work moves between mathematical dynamics, spectral methods, formal verification, AI evaluation, and evidence tooling.
I begin with an idea. I build a model, proof artifact, benchmark, or software system around it. Then I ask where it breaks. A finite certificate stays finite; an open conjecture stays open; a prototype carries its limits in plain sight.
An idea may travel far. A claim still has to answer to evidence.
| Project | What I built | Boundary I keep visible |
|---|---|---|
| LRSC Odd-Ring Spectral Rank | A scoped spectral-rank result and finite certificate. | The result applies within its stated finite model. |
| Riemann Bandwidth-One Verification | Finite-band verification and conditional analysis. | This does not prove the Riemann Hypothesis. |
| Navier–Stokes Bridge Audit | Reproducible finite Fourier–Galerkin certificates. | Continuum transfer remains open. |
| Self-Referential Processing Design Lab | Experimental design and simulation validation. | Confirmatory collection is paused. |
| SharkLang v2.4.2 | An approval-gated language/runtime for governed AI requests. | The release states its own evaluation boundary and terms. |
| Evidence Desk | A local-first ZIP structure and manifest auditor. | It checks archive evidence without executing contents. |
Build a concrete object. Probe it with tests, counterexamples, and hostile questions. Verify the parts that can be verified. Preserve the failures and open obligations.
The broader map includes mathematical models, AI-behavior benchmarks, signed execution evidence, and formal methods. Each project has its own source repository and a stated scope. The Reggae Shark Universe is the index; the individual repositories hold the work.
I value collaboration that begins with a real question, a careful challenge, or another set of eyes. If one of these projects intersects with your work, I welcome a thoughtful note. The repositories show what is established, what is only a prototype, and what remains open.
Contact: starxshark@gmail.com
Independent research · India · Updated 1 November 2026