Formal Verification Scientist (Lean 4 & Mathlib)
About this role
About the Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians with hands-on Lean experience to formalize advanced mathematical arguments for cutting-edge AI research — translating human reasoning into precise, machine-verifiable knowledge. This is a fully remote, flexible contract role. If you find satisfaction in taking a dense, elegant proof and expressing it in a form a machine can verify, 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 with an emphasis on clarity, structure, and correctness - Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures - Push the boundaries of existing proof assistants — working precisely where automated tools struggle or fail - Collaborate with researchers to design, refine, and evaluate formal verification strategies - Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms - Advise on proof decomposition, lemma selection, and structuring techniques for formal models - Formalize classical proofs and compare machine-verifiable structures against textbook arguments - Investigate and articulate where and why automated provers break down — complexity, missing lemmas, library gaps - Construct 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 a comparable proof assistant — Lean strongly preferred - Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics - Able to translate informal mathematical arguments into clean, structured, machine-checkable formalizations - A mathematically mature problem-solver who thrives at the frontier of what formal tools can express 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 reasoning strategies Why Join Us - Work at the frontier of formal verification alongside world-leading AI research teams - Fully remote and flexible — work when and where it suits you - Freelance autonomy with the structure of meaningful, technically deep work - Gain exposure to advanced LLMs and the processes behind how they are trained - Contribute to research that is actively expanding what machines can understand and verify - Potential for ongoing work and contract extension as new projects launch
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