Formal Verification Scientist (Lean 4 & Mathlib)

About The Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced human-written mathematics into precise, machine-verifiable Lean 4 formalizations — working at the cutting edge of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter at the frontier of AI research. 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 correctness, clarity, and mathematical elegance Analyze proofs across domains — identifying 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 and why automated provers fail — and articulate those boundaries with precision Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics 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, Isabelle/HOL, Agda, or comparable systems — Lean 4 strongly preferred Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics Able to take dense, informal mathematical arguments and express them in a form a machine can verify Thrive working independently with precision and care Nice to Have Experience with large-scale formalization projects such as Mathlib Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding Prior experience with data annotation, data quality evaluation, or AI training workflows Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us Work directly with leading AI research labs on projects at the frontier of formal mathematics and AI Fully remote and flexible — work on your own schedule from anywhere in the world Freelance autonomy with meaningful, intellectually stimulating work Contribute to research that is actively shaping how AI systems reason about mathematics Potential for contract extension as new projects launch