Lean 4 Proof Engineer - Mathematical Formalization
About this role
About the Role What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for Lean 4 Proof Engineers to translate advanced human-written mathematics into precise, machine-verifiable formalizations — working at the cutting edge of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role built for mathematicians who love rigorous proof construction and want their work to matter beyond the page. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week What You'll Do - Translate informal mathematical proofs into Lean 4 (and related systems) with a focus on clarity, correctness, and structure - Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail - Collaborate with AI researchers to design, refine, and evaluate formal verification strategies - Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms - Provide expert guidance on proof decomposition, lemma selection, and structuring techniques - Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and beyond - 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 - Possess a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics - Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean strongly preferred - Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate dense informal arguments into clean, precisely structured formal proofs - A mathematically mature problem-solver who finds satisfaction in expressing an elegant human argument 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 where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, evaluation systems, or data quality workflows - Strong communication skills for explaining formalization decisions, edge cases, and proof strategies Why Join Us - Work at the frontier of AI research alongside world-leading research labs and teams - Fully remote and flexible — structure your work around your life, not the other way around - Freelance autonomy with intellectually meaningful, high-impact work - Direct exposure to how cutting-edge large language models are trained and evaluated - Contribute to work that is genuinely pushing the boundaries of what machines can understand and verify - Potential for ongoing contract extension as new projects launch
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