Contract
- Input: research programme + target agency.
- Output: structured proposal draft + reviewer critique.
- Side effects: none.
- Dependencies: none.
- Stop condition: draft + critique + checklist.
- Risk: low.
- Boundary: produces draft text; the human submits.
Math Grant Proposal Structuring
Turn a research programme into a grant proposal that matches the agency's review criteria — and stress-test it from the reviewer's chair.
When to use
- The user is preparing an NSF / ERC / Simons / MSCA / NSERC application.
- A research group needs a multi-PI budget narrative.
- An early-career researcher is drafting a starter grant.
Process
1. Read the call
Extract:
- Award type — individual, collaborative, postdoc, equipment.
- Review criteria — intellectual merit / broader impacts (NSF), excellence / impact (ERC), etc.
- Page limits — exact numbers per section.
- Required attachments — biosketch, DMP, budget justification, letters.
- Deadlines — internal + external.
Completion criterion: requirements checklist saved.
2. Articulate the programme
- Central question in one sentence.
- Why now — what changed (new theorem, new technique, new data).
- Aims — 3–5 specific, measurable aims.
- Approach — methods, expected obstacles, alternatives.
Completion criterion: programme stated concretely; aims measurable.
3. Map to criteria
For each aim, state:
- How it advances intellectual merit (or equivalent).
- How it advances broader impacts (or equivalent).
- What deliverables (preprints, talks, software, mentoring) result.
Completion criterion: each aim maps to a criterion explicitly.
4. Budget and timeline
- Personnel — PI, postdocs, grad students; named or TBD.
- Travel — conferences, collaboration visits.
- Equipment — compute, software licences.
- Indirect costs — per agency rules.
- Timeline — Gantt-style milestones per year.
Completion criterion: budget matches agency categories; timeline realistic.
5. Reviewer-perspective critique
Write the critique as if reviewing:
- Strengths — what makes the proposal stand out; which aims are most credible; which broader impacts are most concrete.
- Weaknesses — where the logic is thin; which budget items are under-justified; where the timeline is unrealistic.
- Questions — what the reviewer would ask; write answers in advance.
- Verdict — recommend approve / revise / decline, with explicit conditions.
Completion criterion: critique written with strengths, weaknesses, questions, verdict.
6. Submission checklist
Completion criterion: all boxes checked; checklist saved.
7. Deliver
Markdown artifact with: call analysis, programme, aims mapping, budget, timeline, reviewer critique (strengths/weaknesses/questions/verdict), submission checklist.
Completion criterion: deliverable complete and reviewed by at least one co-author or mentor before submission.
1---2name: math-grant-structure-23description: Structure mathematics grant proposals (NSF, ERC, Simons, MSCA) — aims, broader impacts, budget, timeline, reviewer expectations — with concrete templates.4---56## Contract78- **Input:** research programme + target agency.9- **Output:** structured proposal draft + reviewer critique.10- **Side effects:** none.11- **Dependencies:** none.12- **Stop condition:** draft + critique + checklist.13- **Risk:** low.14- **Boundary:** produces draft text; the human submits.1516# Math Grant Proposal Structuring1718Turn a **research programme** into a grant proposal that matches the agency's review criteria — and stress-test it from the reviewer's chair.1920## When to use2122- The user is preparing an NSF / ERC / Simons / MSCA / NSERC application.23- A research group needs a multi-PI budget narrative.24- An early-career researcher is drafting a starter grant.2526## Process2728### 1. Read the call2930Extract:3132- **Award type** — individual, collaborative, postdoc, equipment.33- **Review criteria** — intellectual merit / broader impacts (NSF), excellence / impact (ERC), etc.34- **Page limits** — exact numbers per section.35- **Required attachments** — biosketch, DMP, budget justification, letters.36- **Deadlines** — internal + external.3738**Completion criterion:** requirements checklist saved.3940### 2. Articulate the programme4142- **Central question** in one sentence.43- **Why now** — what changed (new theorem, new technique, new data).44- **Aims** — 3–5 specific, measurable aims.45- **Approach** — methods, expected obstacles, alternatives.4647**Completion criterion:** programme stated concretely; aims measurable.4849### 3. Map to criteria5051For each aim, state:5253- How it advances **intellectual merit** (or equivalent).54- How it advances **broader impacts** (or equivalent).55- What **deliverables** (preprints, talks, software, mentoring) result.5657**Completion criterion:** each aim maps to a criterion explicitly.5859### 4. Budget and timeline6061- **Personnel** — PI, postdocs, grad students; named or TBD.62- **Travel** — conferences, collaboration visits.63- **Equipment** — compute, software licences.64- **Indirect costs** — per agency rules.65- **Timeline** — Gantt-style milestones per year.6667**Completion criterion:** budget matches agency categories; timeline realistic.6869### 5. Reviewer-perspective critique7071Write the critique as if reviewing:7273- **Strengths** — what makes the proposal stand out; which aims are most credible; which broader impacts are most concrete.74- **Weaknesses** — where the logic is thin; which budget items are under-justified; where the timeline is unrealistic.75- **Questions** — what the reviewer would ask; write answers in advance.76- **Verdict** — recommend approve / revise / decline, with explicit conditions.7778**Completion criterion:** critique written with strengths, weaknesses, questions, verdict.7980### 6. Submission checklist8182- [ ] All required sections present and within page limits.83- [ ] Biosketch / CV updated and formatted.84- [ ] Budget justification matches budget table.85- [ ] Data-management plan saved.86- [ ] References complete (no missing citations).87- [ ] All co-PIs have confirmed contribution.88- [ ] Letters of collaboration / support saved.89- [ ] Proposal compiled to PDF with correct margins and fonts.90- [ ] Submitted by deadline; confirmation saved.9192**Completion criterion:** all boxes checked; checklist saved.9394### 7. Deliver9596Markdown artifact with: call analysis, programme, aims mapping, budget, timeline, reviewer critique (strengths/weaknesses/questions/verdict), submission checklist.9798**Completion criterion:** deliverable complete and reviewed by at least one co-author or mentor before submission.