# math-research

Personal mathematics research repository by Eric Bauerfeld. Papers are written in AMS-LaTeX using the `amsart` document class.

## Papers

### `kempe_style_search_for_smaller_contradiction`
**Humans Suffice: A Novel Proof of the Four Color Theorem**

An in-progress proof of the Four Color Theorem via a minimal counterexample argument. The paper builds on Kempe's 1879 strategy — establishing valid cases for vertices of degree ≤ 4, then extending the argument to the degree-5 case using properties of non-adjacent degree-5 vertices, merged subgraphs, and locked colorings.

### `plane_depth_labelling`
**Plane Depth Labelling**

Early-stage paper. Title and author information set; content in progress.

## Creating a New Paper

Use `run.sh` to scaffold a new paper from the AMS-LaTeX template:

```sh
./run.sh init_paper "Your Paper Title"
```

This creates a new directory (name derived from the title) containing a `paper.tex` pre-filled with the title and author.

## Setup

The Python library code in `lib/` requires SageMath. To set up the linting environment, run:

```sh
./run.sh setup
```

This creates a `.venv` using the SageMath Python interpreter and installs `pylint` into it.

## Linting

To lint the `lib/` directory:

```sh
./run.sh lint
```

This runs `pyright` (via `npx`) and `pylint` using the SageMath Python interpreter.

## Building

Papers are compiled with LaTeX. From within a paper directory:

```sh
latexmk -pdf paper.tex
```