About this role · Stem
About the Role What if your mathematical expertise could directly shape how AI reasons about proofs — pushing the boundary of what machines can understand and verify? We're looking for mathematicians and formal verification specialists to translate sophisticated human-written arguments into precise, machine-checkable Lean 4 proofs for cutting-edge AI research. This is a fully remote, flexible contract role designed for researchers who thrive on rigor, structure, and working at the frontier of mechanized mathematics. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: 10–40 hours/week What You'll Do - Translate informal mathematical proofs into Lean 4 (and related proof systems) with an emphasis on clarity, correctness, and structural elegance - Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that probe the limits of existing proof assistants — especially where automation breaks down - Collaborate with AI 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 expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Investigate where automated provers fail and articulate why — complexity, missing lemmas, insufficient libraries, or structural issues - 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 formal systems — Lean 4 strongly preferred - Able to translate informal mathematical arguments into clean, structured formal proofs - Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics Nice to Have - Familiarity with type theory, the Curry-Howard correspondence, and proof automation tooling - Experience contributing to large-scale formalization projects such as Mathlib - Exposure to theorem provers where automated reasoning frequently requires manual scaffolding - Prior experience with data annotation, evaluation systems, or AI training workflows - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us - Work on cutting-edge AI research alongside leading labs and research teams - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, intellectually demanding work - Contribute directly to advancing what AI can understand, verify, and reason about in mathematics - Potential for ongoing work and contract extension as new projects launch