Lean 4 Proof Engineer - Mathematical Formalization
About this role
About the Role What if your mathematical expertise could directly shape how AI understands and reasons about formal proofs? We're looking for Lean 4 Proof Engineers to translate advanced mathematics into machine-verifiable formalizations — working at the cutting edge of AI research and formal verification. This is a fully remote, flexible contract role for mathematicians who love precision, structural elegance, and the challenge of pushing proof assistants to their limits. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week What You'll Do - Translate informal mathematical proofs into clean, well-structured Lean 4 formalizations - Identify gaps, hidden assumptions, and formalizable sub-structures within complex mathematical arguments - Construct formalizations that test and extend the limits of existing proof assistants - Collaborate with AI researchers to design and refine formal verification strategies - Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms - Provide expert guidance on proof decomposition, lemma selection, and formal model structuring - Investigate where automated provers break down — and clearly articulate why - Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics Who You Are - Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field - Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete math - Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean strongly preferred - Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics - Able to take a dense, informal mathematical argument and express it in a form a machine can verify Nice to Have - Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools - Experience contributing to large-scale formalization projects such as Mathlib - Exposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, quality evaluation, or AI training workflows - Strong communication skills for explaining formalization decisions, edge cases, and proof strategies 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 meaningful, high-impact technical work - Operate at the frontier of formal verification — tackling problems that automated tools can't yet solve - Potential for ongoing work and contract extension as new projects launch - Global collaboration with researchers pushing the boundaries of AI and mathematics
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