Mathematical Formalization Specialist (Lean / Formal Proof Systems)

Mathematical Formalization Specialist (Lean / Formal Proof Systems) About the Role What if your deep mathematical training could directly shape how AI reasons, verifies, and understands formal logic? We're looking for mathematicians with hands-on experience in formal proof systems — particularly Lean — to work at the intersection of rigorous mathematics and cutting-edge AI research. This is a fully remote, flexible contract role built for mathematically mature problem-solvers who find satisfaction in translating elegant human arguments into precise, machine-verifiable form. You'll work on proofs that push the boundaries of what automated tools can currently handle — helping map the frontier of formal verification itself. Organization : Alignerr Type : Hourly Contract Location : Remote Commitment : Flexible, task-based What You'll Do Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures Construct formalizations that test the limits of existing proof assistants — especially where tools struggle or fail Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models Investigate where automated provers break down and articulate why — uncovering complexity, missing lemmas, or insufficient libraries 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 areas such as algebra, analysis, topology, logic, or discrete mathematics Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Is