Mathematical Formalization Specialist
About this role
About the Role What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems to tackle problems that sit beyond the reach of automated tools — translating rigorous human arguments into machine-verifiable Lean proofs at the frontier of what formal verification can express. This is a fully remote, flexible contract role designed for mathematicians who love precision, structural elegance, and the challenge of pushing proof assistants to their limits. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible hours, work on your own schedule What You'll Do - Translate informal mathematical proofs into Lean (and related proof 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 and extend the limits of existing proof assistants — especially where automated tools struggle or fail - Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms - Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and more 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 a comparable formal proof system — Lean strongly preferred - Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics - Able to take a dense, informal mathematical argument and express it in a form a machine can verify - Comfortable working independently and asynchronously in a remote environment Nice to Have - Familiarity with type theory, the Curry–Howard correspondence, and proof automation tools - Experience with large-scale formalization projects such as mathlib - Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies to research collaborators Why Join Us - Work on cutting-edge AI research projects alongside leading AI labs and research teams - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, intellectually stimulating work - Contribute directly to advancing AI reliability, formal reasoning, and high-integrity dataset creation - Work at the true frontier of mathematics and computer science — on problems no automated tool can yet solve - Potential for ongoing work and contract extension as new projects launch
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