Mathematical Formalization Specialist
About this role
About the Role What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems to help push the boundaries of what machines can verify, understand, and reason about. This is a fully remote, flexible contract role working at the intersection of advanced mathematics and cutting-edge AI research. If you find satisfaction in translating elegant human arguments into precise, machine-verifiable structures — and you thrive at the frontier where automated tools still fail — this role was built for you. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible What You'll Do - Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness - Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that stress-test the limits of existing proof assistants, especially where 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 - Formalize classical proofs and investigate where automated provers break down — and articulate precisely why 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 formal systems — with Lean strongly preferred - Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate dense informal arguments into clean, structured, machine-verifiable proofs - Self-directed and comfortable working independently on complex, open-ended tasks 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 - Strong communication skills for articulating formalization decisions, edge cases, and proof strategies Why Join Us - Work on genuinely frontier problems in AI and formal mathematics alongside leading research labs - Fully remote and asynchronous — work when and where it suits you - Freelance autonomy with the structure of meaningful, expert-level work - Contribute directly to advancing AI reliability, mathematical reasoning, and high-integrity dataset creation - Potential for ongoing work and contract extension as new projects launch
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