Lean 4 Proof Engineer - Mathematical Formalization
About this role
About the Role What if your deep mathematical training could directly shape how AI reasons about formal proofs — and help push the boundaries of what machines can understand and verify? We're looking for mathematicians with serious proof-writing chops and hands-on experience with formal proof systems to work on one of the most intellectually demanding challenges in AI today: translating complex human mathematical arguments into machine-verifiable formalizations using Lean 4. This is a fully remote, flexible contract role. If you live at the intersection of rigorous mathematics and formal verification — and you find satisfaction in the precision of making a dense, elegant argument machine-checkable — this role was built for you. - 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 emphasis on clarity, structure, and correctness - Analyze domain-specific and general proofs, identifying hidden assumptions, logical gaps, and formalizable sub-structures - Construct formalizations that test and extend the capabilities 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 that align 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 break down and articulate root causes — complexity, missing lemmas, library gaps, and beyond - Uncover deeper patterns or generalizations implicit in the original mathematics through formal expression Who You Are - Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field - Possess 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 — Lean strongly preferred - Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate informal mathematical arguments into clean, well-structured formal proofs with precision and care 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 in settings where automated reasoning frequently fails or requires significant manual scaffolding - Prior experience with data annotation, data quality evaluation, or AI training workflows - Strong written communication skills for explaining formalization decisions, edge cases, and reasoning strategies to collaborators Why Join Us - Work at the absolute frontier of formal mathematics and AI research - Collaborate with world-leading AI research teams and labs on genuinely hard problems - Fully remote and flexible — work when and where it suits you - Freelance autonomy with meaningful, intellectually stimulating work - Contribute to shaping how AI systems understand, generate, and verify mathematical reasoning - Potential for ongoing work and contract extension as new projects launch
Application listings
Choose a source listing and check its country requirements.