Lean 4 Proof Engineer - Mathematical Formalization

Lean 4 Proof Engineer — Mathematical Formalization

About The Role

What if your deep mathematical training could directly shape the future of AI? We're looking for expert mathematicians to formalize advanced proofs in Lean 4 — working at the exact boundary of what modern proof assistants can express, verify, and automate.

This is a fully remote, flexible contract role built for mathematicians who find beauty in precision and satisfaction in making a machine understand a human argument. No AI background required — just serious mathematical depth and hands-on experience with formal proof systems.

• 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 hidden assumptions, gaps, and formalizable sub-structures
• Work on problems that push beyond the current capabilities of automated provers, mapping the frontier of formal verification
• Collaborate with researchers to design and refine strategies for improving formal verification pipelines
• Develop highly 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 precisely why — complexity, missing lemmas, insufficient libraries, and beyond
• Formalize classical proofs and compare machine-verifiable structures against their textbook counterparts

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 comparable systems — Lean 4 strongly preferred
• Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics
• Able to translate informal arguments into clean, structured formal proofs with clarity and precision

Nice to Have

• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Experience contributing to large-scale formalization projects such as Mathlib
• Exposure to theorem provers where automated reasoning frequently fails or requires extensive manual scaffolding
• Prior experience with data annotation, evaluation systems, or AI training workflows
• Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies

Why Join Us

• Work at the cutting edge of AI research alongside leading labs and researchers
• Fully remote and flexible — work when and where it suits you
• Freelance autonomy: set your own pace, own your schedule, and collaborate globally
• Contribute directly to how AI reasons about and understands advanced mathematics
• Potential for contract extension as new projects launch