About the Role
What if your deep expertise in formal mathematics could directly shape how AI reasons, proves, and verifies mathematical truths? We're looking for Lean 4 specialists to translate complex mathematical arguments into precise, machine-checked formalizations — working at the frontier where mathematics meets artificial intelligence.
This is a fully remote, flexible contract role built for mathematicians and formal verification experts who want to do genuinely challenging, high-impact work on their own schedule.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: Flexible — work on your own schedule
What You'll Do
- Formalize mathematical content from natural language sources — textbooks, articles, and exercises — into valid, compilable Lean 4 code
- Translate theorems, lemmas, propositions, and proofs into precise formal representations using Lean 4
- Ensure formal code accurately captures the mathematical meaning and logical structure of the original statements
- Review and validate Lean 4 formalizations for correctness, consistency, and logical soundness
- Identify ambiguities, missing assumptions, or logical gaps in informal mathematical descriptions
- Contribute to high-quality datasets pairing human-written mathematics with formal Lean 4 equivalents for AI training
Who You Are
- Strong hands-on experience with Lean 4 — you write precise, correct, and maintainable code
- Solid background in mathematics, formal logic, or formal verification
- Comfortable reading advanced mathematical texts and translating them into formal systems
- Exceptional attention to detail and a rigorous logical mindset
- Interested in AI, automated reasoning, and the future of mathematical verification
- Self-directed and reliable when working independently on complex, open-ended problems
Nice to Have
- Experience with other theorem provers or formal systems (Coq, Isabelle, Agda, Metamath, etc.)
- Prior involvement in AI training, expert annotation, or reasoning-focused datasets
- Background in formal methods research or proof assistant development
- Academic or professional experience in pure or applied mathematics
Why Join Us
- Work on cutting-edge AI projects alongside leading research labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of clearly defined, meaningful tasks
- High-impact work — your formalizations directly improve how AI models reason about mathematics
- Top performers are invited to advanced tracks and extended contracts with greater scope and responsibility