Lean 4 Mathematical Formalization Expert

About This Role

Translate informal mathematical proofs into precise, machine-verifiable formalizations using formal proof languages, with a strong emphasis on Lean. This role focuses on advancing AI reliability and formalization by working on proofs beyond current automated prover capabilities.

Responsibilities

• Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness
• Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that test the limits of existing proof assistants, especially where tools struggle or fail
• Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
• Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
• Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models

Requirements

• Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Strong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems—with Lean strongly preferred
• Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics
• Ability to translate informal arguments into clean, structured formal proofs

Qualifications

• Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field

Nice to Have

• Familiarity with type theory, Curry–Howard correspondence, and proof automation tools
• Experience with large-scale formalization projects (e.g., mathlib)
• Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding
• Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies

Skills

* Required skills