Formal Verification Scientist (Lean 4 & Mathlib)
About this role
About the Role What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into precise, machine-checkable Lean 4 formalizations, working at the very frontier of AI research and mechanized mathematics. This is a fully remote, flexible contract role for mathematicians who love rigorous proof construction and want their expertise to matter beyond the academy. - 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 and correctness - Analyze both generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures - Push the limits of existing proof assistants, especially in areas where automated tools struggle or fail entirely - Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms - Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, or deeper structural issues - Create Lean proofs that reveal 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 mathematics - Have 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 clean, structured formal proofs with precision and care - A mathematically mature problem-solver who finds genuine satisfaction in resolving gaps that automated tools cannot yet bridge 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, data quality evaluation, or AI training workflows - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us - Work directly on cutting-edge AI projects alongside leading research labs - Fully remote and flexible — work when and where it suits you - Freelance autonomy with meaningful, intellectually stimulating work - Contribute to some of the most challenging open problems at the intersection of mathematics and AI - Potential for ongoing work and contract extension as new projects launch
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