Anmath Cover Letter

---
name: anmath-cover-letter
description: Use when drafting the cover note to the editors for an Annals of Mathematics submission — concisely conveying the main result, its significance, scope fit, and any priority/overlap disclosures. Frames the submission; does not write the paper. Verify whether a cover letter is requested on the official submission page.
---

# Cover Letter to the Editors (anmath-cover-letter)

## When to trigger

- The manuscript is final and you are preparing the submission package
- You need a short note conveying significance and scope fit to the editor
- There is prior work, an arXiv posting, or overlap that should be disclosed up front

> First verify on the official submission page whether a cover letter is expected and in
> what form. Some math journals want a brief note; others collect the same information in
> the portal. Keep it short either way — the paper carries the weight.

## What an Annals cover letter does

The editors triage on **importance and fit**. The letter's job is to let an editor see, in
under a page, why this result clears the Annals bar and which area it belongs to — not to
re-prove anything.

| Element | One to two sentences |
|---------|----------------------|
| Result | State the Main Theorem in plain terms (the precise version is in the paper) |
| Significance | Which recognized problem/program it advances and why it matters |
| Advance over prior work | What is new: removed hypothesis, settled conjecture, new method |
| Scope / area | The MSC area and why Annals is the right venue |
| Disclosures | arXiv id; related/overlapping work; priority context; computer-assisted parts |
| Logistics | Suggested area/handling editor if invited; any conflicts to declare |

## Drafting guidance

- **Lead with the result and its significance**, in language an editor outside your
  subfield can parse. Save technical precision for the manuscript.
- **Be honest and specific** about the advance; do not inflate. Editors and referees will
  check, and overstatement damages credibility.
- **Disclose proactively**: an arXiv preprint, a companion paper, partial prior
  announcements, or a computer-assisted step. Surprises later read as concealment.
- **Keep it to a page.** No proof sketches, no exhaustive literature review — that is the
  introduction's job.
- Suggested referees and conflicts: only if the portal asks; keep it factual.

## Checklist

- [ ] Confirmed whether a cover letter is requested (official page)
- [ ] Main result stated in plain terms in one to two sentences
- [ ] Significance tied to a recognized problem/program
- [ ] The specific advance over prior work is named, not inflated
- [ ] MSC area and rationale for Annals stated
- [ ] arXiv id and any related/overlapping work disclosed
- [ ] Computer-assisted components (if any) flagged
- [ ] Letter fits on a single page; no re-proving

## Anti-patterns

- A page of hype with no precise sense of what is actually new
- Overstating significance beyond what the theorem supports
- Hiding an arXiv preprint or an overlapping companion paper
- Re-proving the theorem in the letter instead of pointing to the paper
- Generic boilerplate ("we believe this will interest your readers") with no content
- Failing to declare a known conflict or a computer-assisted dependency

## Output format

```
【Cover letter requested?】yes / no (per official page)
【Result, plain terms】...
【Significance】advances problem/program: ...
【Advance over prior】...
【MSC area + why Annals】...
【Disclosures】arXiv: ...; related work: ...; computer-assisted: ...
【Length】≤ 1 page — confirmed
【Next step】anmath-submission
```