Applied Formal Methods Researcher (Lean 4)

Applied Formal Methods Researcher (Lean 4) About the Role What if your deep mathematical expertise could directly shape how the world's most advanced AI systems reason, verify, and understand formal logic? We're looking for Applied Formal Methods Researchers to translate complex mathematical arguments into machine-verifiable Lean 4 proofs — working at the very frontier of what proof assistants can express and automate. This is a fully remote, flexible contract role for mathematicians who find beauty in precision and satisfaction in conquering problems that automated tools simply cannot yet solve. 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 both general and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures Construct formalizations that test and extend the limits of existing proof assistants, especially where tools struggle or fail entirely Investigate where automated provers break down and clearly articulate why — whether due to complexity, missing lemmas, or insufficient libraries Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms Formalize classical proofs and compare machine-verifiable structures against textbook arguments to reveal deeper patterns or generalizations 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 and mathematical reasoning — across algebra, analysis, topology, logic, d