Lean 4 Proof Engineer - Mathematical Formalization

Lean 4 Proof Engineer — Mathematical Formalization About the Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Lean 4 Proof Engineers to formalize advanced mathematics for cutting-edge AI research — translating rigorous human arguments into precise, machine-verifiable proofs that push the limits of what automated systems can express and verify. This is a fully remote, flexible contract role designed for mathematicians who find genuine satisfaction in the intersection of formal logic, proof theory, and modern proof assistants. 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 hidden assumptions, gaps, and formalizable sub-structures Construct formalizations that test and extend the limits of existing proof assistants, especially where automation breaks down Collaborate with AI researchers to design and refine formal verification pipelines Investigate failure modes of automated provers and articulate root causes — missing lemmas, library gaps, complexity barriers Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models Create Lean proofs that reveal 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 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 Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics Able to take dense, human-wri