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 complex mathematical arguments into precise, machine-verifiable Lean 4 formalizations for cutting-edge AI research. This is a fully remote, flexible contract role designed for mathematicians who love working at the intersection of rigorous proof and computer science. If you find satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand — this role was built for you. - 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 domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that test the limits of existing proof assistants — especially where tools struggle or fail - Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, insufficient libraries, etc.) - Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics - Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models Who You Are - Holds a 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 systems — Lean strongly preferred - Able to translate informal mathematical arguments into precise, well-structured formal proofs - Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Detail-oriented, methodical, and comfortable working independently in an async environment Nice to Have - Experience with large-scale formalization projects such as Mathlib - Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools - Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, data quality, or evaluation systems - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us - Work on cutting-edge AI research projects alongside leading AI labs - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, intellectually stimulating work - Contribute directly to mapping the frontier of what formal verification can express, capture, and automate - Potential for ongoing work and contract extension as new projects launch - Collaborate with a global team of researchers and mathematicians pushing the limits of AI and formal reasoning
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