About The Role

What if your deep mathematical training could directly shape how AI reasons, proves, and understands the most rigorous ideas in human knowledge? We're looking for Applied Formal Methods Researchers to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the precise boundary of what automated reasoning can and cannot yet do.

This is a fully remote, adaptable contract role built for mathematicians who love precision, structural elegance, and the challenge of pushing proof assistants to their limits.

• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week

What You'll Do

• Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that deliberately test the boundaries of existing proof assistants, especially where tools struggle or fail




• Collaborate with AI researchers to design and refine formal verification strategies and pipelines
• Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
• Investigate where automated provers break down and clearly articulate why — complexity, missing lemmas, library gaps, and beyond
• Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments

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 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 proof assistant — Lean 4 strongly preferred
• Able to translate dense, informal mathematical argument

📌 Applied Formal Methods Researcher (Ciudad de México)
🏢 Alignerr
📍 Ciudad de México