EC
Portrait of Eliuth Chavero JassoResume
← eliuthchaverojasso.com

Independent computational research · Separate track

Formalize the claim. Compute. Try to falsify it.

A separate laboratory for exploratory work in mathematics and computation. The discipline is the same one I bring to engineering systems: define the object, expose the assumptions, measure what can be measured and keep uncertainty visible.

Explicit claim statusDefinition, proof under assumptions, numerical verification, conjecture or open.
Reproducible artifactCode, datasets and numerical checks travel with the result.
FalsificationA counterexample or failed property is a result, not something to hide.

Featured computed object

E8 root system · Coxeter plane projection

One mathematical object viewed as structure, projection, neighborhood and symmetry. Select a root to inspect its local relationship to the rest of the system.

Loading computed geometry…

All 240 roots and the edges between roots at 60°. Eight shells, thirty points each.

240 roots · 8 shells · Coxeter number 30

What this figure establishes. The geometry is computed from all 240 E8 roots and projected onto the Coxeter plane. It makes the research loop concrete: define the structure first, compute the representation, inspect the result and keep the claim status explicit.

CLAIM → OBJECT → COMPUTATION → CHECK → STATUS → ARTIFACT

Projects, checks and published artifacts

Independent research gives me practice in defining objects, exposing assumptions and designing checks that can disprove a claim. Those habits return to engineering software; the mathematical results do not validate the commercial work.

A Spectral-Operatorial Formula for Polynomial RootsPublished code

A reproducible framework representing polynomial roots through a companion operator, isospectral transport and numerical resolvent projectors.

github.com/voidzeit/seion-poly-roots →
SEION Math Core — Kernel-Integrated LawsPublished code

Typed finite-dimensional laws, associator and symmetry defects, structure-preserving projectors and finite cohomological checks.

github.com/voidzeit/seion-math-core →
Color Matrix — Navigating a Finite Image SpacePublished code

Every image of a fixed size is one integer. The navigator moves through that coordinate exactly in base-256 arithmetic, checked exhaustively on universes small enough to enumerate and differentially against arbitrary-precision integers.

Read the write-up →
Constraints on an Ultra Late Transition in Dark Energy from Low Redshift DataPreprint

With Alexa Pérez Cornejo. A constrained late-time dark-energy transition analysis using supernova and baryon acoustic oscillation data.

doi.org/10.5281/zenodo.18091273 →
Weight-space interpretability of open-weight language modelsPrivate · exploratory

Layer-wise matrix structure checked against functional behavior rather than assumed from compression alone.

Private — not yet published
Structural preparation and robustness testing of protein modelsPrivate · exploratory

Repairing and stress-testing protein structure files before downstream physics-based simulation.

Private — not yet published

Sandbox · separate from the research results

Synthetic illustration — not a paper result

Rank reduction vs. reconstruction error

A small interactive model of the trade-off between discarded structure and reconstruction error.

Reconstruction error—