Mathematical Formalization Specialist (Lean / Formal Proof Systems)

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: Adaptable — 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 futu

📌 Mathematical Formalization Specialist (México)
🏢 Alignerr
📍 México