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, versátil 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 arguments into clean, structured formal

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