About this role · Stem
About the Role What if your deep mathematical expertise could directly shape how AI understands and generates formal proofs — pushing the boundaries of what machines can reason about? We're looking for mathematicians and formal verification specialists to translate sophisticated mathematical arguments into machine-verifiable Lean 4 proofs for cutting-edge AI research. This role sits at the frontier of mathematics and computer science, tackling proofs that often lie beyond what automated systems can currently handle. This is a fully remote, flexible contract role built for researchers who love precision, structure, and the intellectual challenge of making rigorous human reasoning legible to machines. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week What You'll Do - Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations - Analyze proofs across domains — algebra, analysis, topology, logic, discrete math — identifying hidden assumptions, gaps, and formalizable sub-structures - Construct formalizations that stress-test the limits of existing proof assistants, especially where automation breaks down - Collaborate with researchers to design and refine strategies for improving formal verification pipelines - Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms - Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Investigate where automated provers fail — and articulate precisely why (complexity, missing lemmas, library gaps, etc.) - 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 - Have a strong foundation in rigorous proof writing across one or more of: 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 4 strongly preferred - Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate dense, informal mathematical arguments into precise, structured formal proofs - Intellectually energized by working at the frontier — where tools struggle and human insight still matters most 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 - Prior exposure to theorem provers where automated reasoning frequently requires manual scaffolding - Background in data annotation, data quality, or evaluation systems - Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to collaborators Why Join Us - Work on genuinely frontier problems — proofs that push the limits of what machines can verify - Collaborate with teams building cutting-edge AI models at leading research labs - Fully remote and flexible — work when and where you do your best thinking - Freelance autonomy with meaningful, intellectually stimulating work - Gain rare exposure to how advanced AI models are trained on formal mathematical reasoning - Potential for ongoing work and contract extension as new projects launch