Lean 4 Mathematical Formalization Expert

Lean 4 Mathematical Formalization Expert (AI Training)

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