About this role · Stem
About the Role What if your mathematical expertise could directly shape how AI reasons about formal proofs — pushing the boundaries of what machines can verify, understand, and automate? We're looking for mathematicians and formal verification researchers to translate sophisticated mathematical arguments into rigorous, machine-verifiable Lean 4 proofs. This is frontier work: you'll be operating at the edge of what proof assistants can currently do, helping map the limits of mechanized mathematics and contributing to cutting-edge AI research. This is a fully remote, flexible contract role designed for researchers who thrive on precision, structure, and intellectual challenge. - 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 proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that probe the limits of existing proof assistants, especially in areas where automation breaks down - 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 Lean 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 - 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 proof systems — Lean 4 strongly preferred - Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics - Ability to translate dense, informal arguments into precise, structured formal proofs - Mathematically mature and comfortable working at the frontier — where tools struggle and human insight is essential 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 contexts where automated reasoning frequently requires manual scaffolding - Prior experience with data annotation, quality evaluation, or AI training workflows - Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies Why Join Us - Work on some of the most intellectually demanding problems in AI and formal mathematics - Fully remote and flexible — work when and where it suits you - Freelance autonomy with meaningful, high-impact research tasks - Collaborate with researchers at the forefront of AI development - Gain direct exposure to how advanced AI models are trained and evaluated - Potential for ongoing work and contract extension as new projects launch