Lean 4 Proof Engineer — Mathematical Formalization

About The Role

What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for Lean 4 Proof Engineers to translate advanced human-written mathematics into precise, machine-verifiable formalizations — working at the cutting edge of what proof assistants can express, capture, and automate.

This is a fully remote, adaptable contract role built for mathematicians who love rigorous proof construction and want their work to matter beyond the page.

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

What You'll Do

Translate informal mathematical proofs into Lean 4 (and related systems) with a focus on clarity, correctness, and structure
Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures
Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail
Collaborate with AI researchers to design, refine,



and evaluate formal verification strategies
Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, insufficient libraries, and beyond
Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics

Who You Are

Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
Possess 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 systems — Lean strongly preferred
Deeply enthusiastic about formal verificatio

📌 Lean 4 Proof Engineer (Ciudad de México)
🏢 Alignerr
📍 Ciudad de México