Mathematical Formalization Specialist
About this role
About the Role What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human-written arguments into machine-verifiable proofs — working at the very edge of what automated tools 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 systems simply cannot handle alone. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible — work on your own schedule What You'll Do - Translate informal mathematical proofs into Lean (and related proof assistants) with a focus on clarity, structure, and correctness - Analyze domain-specific and general proofs — identifying gaps, hidden assumptions, and formalizable sub-structures - Construct formalizations that push the limits of existing proof assistants, especially where tools struggle or fail - Collaborate with AI researchers to design and refine formal verification strategies and pipelines - Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices - Advise 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 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 - Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics - Can reliably translate dense informal arguments into clean, structured, machine-verifiable formalizations - Work independently with precision and consistency 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 in contexts where automated reasoning requires significant manual scaffolding - Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies to collaborators Why This Role - Work on cutting-edge AI research projects alongside leading AI labs and researchers - Fully remote and flexible — structure your work around your life, not the other way around - Apply your deepest mathematical skills to problems that genuinely matter and that automated tools cannot yet solve - Contribute to the advancement of formal verification and AI reliability at the frontier of modern mathematics - Potential for ongoing work and contract extension as new research projects launch
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