Researcher – Lean 4 & Formal Proof Systems (AI Training)

About The Role

What if your deep mathematical training could directly shape the future of AI — and push the boundaries of what machines can reason about and verify?

We're looking for mathematicians and formal methods specialists to translate sophisticated human-written proofs into machine-verifiable Lean 4 formalizations. This is frontier work: you'll be operating at the edge of what automated provers can currently handle, helping map the limits of formal verification and contributing to some of the most technically demanding AI research happening today.

This is a fully remote, versátil contract role designed for mathematically mature researchers who love rigor, structure, and the intellectual challenge of bridging human reasoning and mechanized proof.

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

What You'll Do

• Translate informal mathematical proofs into precise, machine-verifiable Lean 4 formalizations — with an emphasis on clarity, structure,



and correctness
• Analyze proofs across domains (algebra, analysis, topology, logic, discrete math) to identify hidden assumptions, gaps, and formalizable sub-structures
• Construct formalizations that test and expose the limits of existing proof assistants — especially where automation breaks down
• Develop clean, readable, reproducible proof scripts aligned with best practices and Lean idioms
• Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models
• Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines
• Investigate where automated provers fail and articulate why — whether due to complexity, missing lemmas, library gaps, or fundamental limitations
• Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics

Who You Are

• Hold a Master's degree or highe

📌 Researcher - Lean 4 & Formal Proof Systems (Ciudad de México)
🏢 Alignerr
📍 Ciudad de México