Lean 4 Proof Engineer - Mathematical Formalization
About this role
About the Role What if your deep mathematical training could directly shape how AI reasons about formal proofs — and help push the boundaries of what machines can verify? We're looking for mathematicians and formal verification experts to translate advanced mathematical arguments into precise, machine-verifiable Lean 4 proofs for cutting-edge AI research. You'll be working at the frontier — tackling proofs that lie beyond the reach of current automated tools, and helping define what the next generation of AI-powered mathematics looks like. This is a fully remote, flexible contract role built for mathematically mature problem-solvers who love precision, structure, and the challenge of making the implicit explicit. - 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 gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that test and extend the limits of existing proof assistants — especially where automation fails - Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, library gaps, etc.) - Collaborate with AI researchers to design, refine, and evaluate formal verification strategies - Provide expert guidance on proof decomposition, lemma selection, and structuring approaches - Develop proof scripts that reveal deeper patterns or generalizations implicit in the original mathematics - Compare machine-verifiable structures against classical textbook arguments to surface new insights 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 areas such as algebra, analysis, topology, logic, or discrete mathematics - Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants — Lean strongly preferred - Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate dense, informal arguments into precise, structured formal proofs with minimal ambiguity - Self-directed and comfortable working independently in an asynchronous, remote environment 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 where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, quality evaluation, or AI training pipelines - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us - Work directly with leading AI research labs on genuinely frontier problems in formal mathematics - Fully remote and flexible — work on your own schedule, from anywhere in the world - Freelance autonomy with meaningful, intellectually stimulating work - Contribute to AI research that is actively shaping the future of mathematical reasoning and verification - Potential for ongoing work and contract extension as new projects launch
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