Formal Verification Scientist (Lean 4 & Mathlib)
About this role
About the Role What if your deep mathematical expertise could directly shape the future of AI reasoning? We're looking for Formal Verification Scientists to translate complex, human-written mathematical proofs into precise, machine-verifiable formalizations using Lean 4 — working at the absolute frontier of what proof assistants can express and automate. This is a fully remote, flexible contract role for mathematicians who are passionate about rigorous proof construction and the power of formal verification. If you find satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand, this role was built for you. - 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, structure, and correctness - Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that test and extend the limits of existing proof assistants — especially where tools struggle or fail - Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Develop highly 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 - Investigate where automated provers break down and articulate why — complexity, missing lemmas, insufficient libraries, and beyond - 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 and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete mathematics - Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable formal proof system — Lean 4 strongly preferred - Able to translate informal mathematical arguments into clean, structured, machine-verifiable formal proofs - Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics - Mathematically mature and comfortable working independently at the edge of current knowledge 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 evaluation, or AI training workflows - Strong communication skills for explaining formalization decisions, edge cases, and proof strategies to cross-functional collaborators Why Join Us - Work on cutting-edge AI projects alongside world-leading research labs - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, intellectually rigorous work - Contribute directly to expanding what AI can understand, verify, and reason about mathematically - Potential for ongoing work and contract extension as new projects launch
Application listings
Choose a source listing and check its country requirements.