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Role fitCore Competencies
Use this summary to align your resume positioning with the role.
Demonstrates expertise in writing formal proofs in Lean 4 and a strong background in proof-based mathematics or theoretical computer science. Capable of providing clear feedback and collaborating effectively with engineers and researchers to uphold high standards in mathematical formalization.
Highest-signal resume keywords
Lean 4 Formal Proof WritingMathlib FamiliarityProof-Based Mathematics BackgroundClear Written CommunicationAI-For-Math Experience
Tech Stack
Tools & technologiesAbout the role
Key responsibilities & impact- Write correct, idiomatic Lean 4 statements and proofs compiling against current mathlib
- Formalize mathematics from competition problems and textbooks to research-level lemmas
- Review AI-generated Lean statements and proofs
- Identify failed proofs or proofs that establish the wrong result
- Provide clear, specific written feedback
- Help define guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions
- Collaborate with Lean engineers and AI-lab researchers to maintain consistent standards
- Work on projects training and enhancing AI systems
Requirements
What you’ll need- Hands-on experience writing formal proofs in Lean 4
- Comfort with mathlib and Lean 4 tactics, including finding and using appropriate lemmas
- Strong background in proof-based mathematics, theoretical computer science, or logic through a degree or research record
- Ability to convert written mathematical statements and proofs into correct formal statements and machine-checked proofs
- Ability to engage reliably for at least 20 hours per week during weekdays
- Clear written communication and ability to explain proof strategy and formalization choices precisely
- Nice to have: experience with Coq/Rocq, Isabelle, Agda, Haskell, Lean metaprogramming, or AI-for-math work
- Must not require H1-B or STEM OPT support
Benefits
Comp & perks- W-2 employment with Cincinnatus LLC or appropriate international entity
- Payroll, benefits, and compliance provided by the employer of record
- Fully remote work
- Flexible own schedule
- Part-time commitment with option to increase from at least 20 to up to 40 hours per week
- Weekly payments via Stripe or Wise based on services rendered
- Competitive pay
- Collaboration with leading researchers
- Opportunity to work on frontier AI systems
- Referral payments of up to $1,760 per successful referral
ATS Keywords
✓ Tailor your resumeApplicant Tracking System Keywords
Tip: use these terms in your resume and cover letter to boost ATS matches.
Hard Skills
Formal ProofsLean 4MathlibProof TacticsMathematical FormalizationMachine-Checked ProofsCoqIsabelleAgdaHaskell
Soft Skills
Clear CommunicationFeedback ProvisionCollaboration
Industry Keywords
Theoretical Computer ScienceLogicAI SystemsProof Quality GuidelinesMathematical Statements