Mathematical Formalization Specialist
About this role
About the Role What if your mathematical expertise could directly shape how AI reasons, verifies, and understands formal logic? We're looking for mathematicians with deep proof-writing experience to translate complex human arguments into machine-verifiable formalizations — working at the very edge of what AI and proof assistants can do today. This is a fully remote, flexible contract role built for mathematicians who find beauty in precision and satisfaction in solving problems that automated tools simply cannot. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible, task-based What You'll Do - Translate informal mathematical proofs into Lean (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 researchers to design, refine, and evaluate strategies for improving formal verification pipelines - Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices and proof assistant idioms - Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models - Investigate where automated provers break down and articulate why — surfacing patterns, missing lemmas, or library gaps 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 formal systems — Lean strongly preferred - Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Able to take a dense, elegant human argument and express it in a form a machine can understand and verify 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 requires manual scaffolding - Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies Why Join Us - Work on cutting-edge AI research projects alongside leading AI labs - Fully remote and asynchronous — work when and how it suits you - Freelance autonomy with the structure of meaningful, intellectually stimulating work - Contribute to a frontier discipline that is actively shaping the future of AI reliability and mathematical reasoning - Potential for ongoing work and contract extension as new formalization projects launch
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