From mathfin-skills
Polishes Mathematical Finance (Wiley) manuscripts with theorem-first exposition, consistent notation, proof hygiene, and financial-modeling intuition for a stochastic-analysis readership.
How this skill is triggered — by the user, by Claude, or both
Slash command
/mathfin-skills:mathfin-writing-styleThe summary Claude sees in its skill listing — used to decide when to auto-load this skill
- The proofs are correct but the paper is hard to read
Under Assumptions (A1)-(A3), Theorem 2.1 establishes [formal result]. In financial
terms, this means [pricing/hedging/risk/portfolio interpretation]. The proof
combines [main tools] and is given in [location].
| Object | Conventional usage | Drift to avoid |
|---|---|---|
| Filtration | (F_t) with the usual conditions stated once | switching between F_t and F(t) |
| Physical / pricing measure | P / Q (or Q^*) | reusing Q for a generic measure mid-paper |
| Brownian motion | W under P; W^Q after Girsanov | the same W under both measures without comment |
| Admissible strategies | A or A(x), x the initial wealth | "admissible" used before A is defined |
| Wealth / value process | X^pi or V | V doubling as value function and value process |
| Value function | v(t,x), lowercase | v and V swapped between sections |
| Stopping times | tau, ranging over a defined family T_{t,T} | tau ranging over an unspecified set |
| Generator | L (or L^a in control problems) | applying L to functions outside its stated domain |
Before each long proof, give a three-to-five sentence sketch:
The proof proceeds in three steps. Step 1 establishes [a priori estimate] under (A2), which
yields the uniform integrability needed later. Step 2 constructs the candidate [object] via
[tool: Snell envelope / dual problem / fixed point]; this is where the new idea, [one phrase],
enters. Step 3 verifies optimality and uniqueness by [verification argument]. Steps 1 and 3
are standard given Step 2 and are deferred to Appendix B.
The sketch tells a referee where the novelty lives and which parts may be verified quickly — exactly the separation of new idea from routine verification that this journal's culture prizes.
Before polishing prose, create a notation ledger with columns for symbol, object, first definition, assumptions, theorem use, and appendix use. Use it to find:
Mathematical Finance readers will forgive technical density more readily than notation drift. A clean ledger also shortens referee response time because every objection can be tied to a labelled object.
[Section] intro / model / theorem / proof / numerics / appendix
[Main clarity issue] ...
[Formal precision fix] ...
[Financial intuition fix] ...
[Next step] mathfin-submission
npx claudepluginhub brycewang-stanford/awesome-journal-skills --plugin mathfin-skillsPolishes prose and rigor of pure-mathematics manuscripts for Annals of Mathematics — eliminating gaps, removing vague language, and ensuring precise quantifiers and consistent mathematical English.
Polishes prose, notation, and proof exposition for Econometric Theory (ET) manuscripts — theorem-proof clarity, consistent notation, APA references, and ET formatting specs.
Triage referee comments on theorem novelty, proof gaps, assumptions, and financial relevance for Mathematical Finance revise-and-resubmit letters.