Formal Verification Scientist (Lean 4 & Mathlib)
About this role
About the Role What if your deep mathematical expertise could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians with hands-on experience in formal verification to translate rigorous human-written arguments into machine-verifiable proofs — working at the absolute frontier of what modern proof assistants can express and automate. This is a fully remote, flexible contract role built for mathematically mature problem-solvers who find satisfaction in the precision and structural beauty of formal proof construction. - 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 a focus on clarity, correctness, and structure - Analyze proofs across a range of domains, identifying gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that push the limits of existing proof assistants — especially where automation struggles or fails - Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Develop clean, readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms - Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Formalize classical proofs and compare machine-verifiable structures against textbook arguments - Investigate and clearly articulate where automated provers break down — whether due to complexity, missing lemmas, or library gaps - Create Lean proofs that reveal 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 - Possess 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 proof systems — Lean strongly preferred - Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to translate dense, informal arguments into clean, structured formal proofs with precision and care Nice to Have - Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools - Experience contributing to large-scale formalization projects such as Mathlib - Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding - Prior experience with data annotation, data quality, or evaluation systems - Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to collaborators Why Join Us - Work on cutting-edge AI projects alongside leading research labs and AI teams - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, high-impact technical work - Operate at the frontier of formal verification and contribute to how AI learns to reason mathematically - Potential for ongoing work and contract extension as new projects launch
Application listings
Choose a source listing and check its country requirements.