Formal Verification Scientist (Lean 4 & Mathlib)
About this role
About the Role What if your mathematical expertise could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians and logicians with hands-on experience in formal proof systems — particularly Lean 4 and Mathlib — to help translate complex mathematical arguments into precise, machine-verifiable formalizations. This is a fully remote, flexible contract role working at the cutting edge of AI research and formal verification. You'll be tackling problems that sit beyond the reach of automated provers — doing work that genuinely maps the frontier of what machines can verify and understand. - 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 an emphasis on clarity, correctness, and reproducibility - Analyze both general and domain-specific proofs to identify gaps, hidden assumptions, and formalizable structure - Construct formalizations that push the current limits of proof assistants - Investigate where automated provers break down — and why — to help improve formal verification pipelines - Write clean, readable, well-structured proof scripts that expose deeper mathematical structure - Advise on proof decomposition, lemma selection, and formal architecture - Collaborate with AI researchers to advance high-integrity dataset creation and model reasoning Who You Are - Holds a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a related field - Deeply comfortable with rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics - Has hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or similar formal proof systems — Lean 4 strongly preferred - Excited by formal verification and the challenge of expressing human mathematical arguments in forms machines can check - Able to work independently, manage ambiguity, and produce high-quality output without close supervision Nice to Have - Experience with Mathlib or other large-scale formalization projects - Familiarity with type theory, the Curry–Howard correspondence, and proof automation tools - Experience working in domains where automated provers fail and require manual scaffolding - Strong communication skills for documenting and explaining formalization decisions and edge cases Sample Tasks - Formalize classical theorems and compare machine-verifiable proof structures against textbook arguments - Identify and document where proof automation breaks down and construct manual scaffolding to fill gaps - Build Lean proofs that reveal hidden structure, generalizations, or alternative formalization paths Why Join Us - Work on frontier AI research with leading AI labs — your output directly improves how models reason about mathematics - Fully remote and async — work when and where it suits you - High autonomy and flexible freelance structure that respects your time - Collaborate with a network of top mathematicians, logicians, and computer scientists - Potential for ongoing contract extension as new projects launch
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