Mathgaki
notes on operators, curvature, and inference

Compute the world,
then reinterpret it.

This page is an index to my research map: personal definitions, theorem vocabulary, and publishable notes. It is both a working atlas and a public-facing table of contents.

Everything as mathematics, and mathematics as a language: a habit of describing phenomena through conditions and equivalence (iff), then testing what survives.

The name is playful. The work is not.
Read the map Open GitHub live Laplacian field
J. Park avatar

J. Park

Archenemy of Custom, Avatar of Curvature.

topological gauge fields ↔ deep learning gradients
all written in operatic LaTeX.

Research posture

Formal when needed, sparse when possible. Definitions first, interpretation second.

Pipeline note

TeX ↔ HTML/EPUB through AST-centered transformation and reversible markers.

Map / Index

the collected structure

Foundations

Definitions, notational rules, and theorem-level map of core terms.
open draft path

Research Threads

Topological gauge programs, PDE viewpoints, and learning-theoretic bridges.
open draft path

TeXForge

TeX↔HTML/EPUB pipeline notes, AST contracts, rendering and reverse conversion behavior.
open draft path

Reading Notes

Lecture notes, close reading, and technical reviews.
coming soon

Release Policy

What is public, what remains private, and publication timing constraints.
coming soon

About

research notebook, theory index, publication surface

What this is

A personal research notebook, a theory index, and a publication surface for what can be publicly released.

LAPL note

LAPL hints at Laplacian imagery (Δ) and a light name-echo toward Lovelace. It marks the domain only; the brand is separate.

Public entrypoint

/docs/ is the public reading surface. Private drafting and build workflow stays under admin.

Recent Posts

published from TeXForge