Lean 4 Proof Engineer - Mathematical Formalization
About this role
About the Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Lean 4 Proof Engineers to formalize advanced mathematics for cutting-edge AI research — translating rigorous human arguments into precise, machine-verifiable proofs that push the limits of what automated systems can express and verify. This is a fully remote, flexible contract role designed for mathematicians who find genuine satisfaction in the intersection of formal logic, proof theory, and modern proof assistants. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week What You'll Do - Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility - Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures - Construct formalizations that test and extend the limits of existing proof assistants, especially where automation breaks down - Collaborate with AI researchers to design and refine formal verification pipelines - Investigate failure modes of automated provers and articulate root causes — missing lemmas, library gaps, complexity barriers - Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models - Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics Who You Are - Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field - Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics - Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean 4 strongly preferred - Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics - Able to take dense, human-written arguments and express them precisely in machine-verifiable form - A methodical problem-solver who thrives at the frontier — where the tools aren't enough and judgment matters 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 regimes where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, evaluation systems, or AI training workflows - Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies Why Join Us - Work at the frontier of formal mathematics and AI research alongside world-leading research labs - Fully remote and flexible — work when and where it suits you - Freelance autonomy with meaningful, intellectually stimulating project-based work - Contribute to a field that is actively shaping the future of AI reasoning and mathematical automation - Potential for contract extension as new projects launch
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