Formal Verification Scientist (Lean 4 & Mathlib)

Job Description

About The Role

What if your deep mathematical training could directly shape how AI reasons about truth, proof, and knowledge We're looking for Formal Verification Scientists to translate advanced human mathematics into machine-verifiable Lean proofs — working at the very frontier of what proof assistants can express, capture, and automate.

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

• Translate informal mathematical proofs into rigorous, machine-verifiable Lean 4 formalizations with an emphasis on clarity, structure, and correctness
• Analyze generic and domain-specific 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 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 — whether due to complexity, missing lemmas, or insufficient libraries
• Reveal deeper patterns or generalizations implicit in classical mathematical arguments

• 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 proof systems — Lean strongly preferred
• Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
• Able to take a dense, elegant human argument and express it in a form a machine can verify
• Thrive working independently in an asynchronous, remote environment

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

• Work on cutting-edge AI projects alongside world-leading research labs
• Fully remote and flexible — work when and where it suits you
• Freelance autonomy with the structure of meaningful, intellectually rigorous work
• Contribute directly to defining the frontier of what formal verification can achieve in AI
• Exposure to advanced large language models and how they are trained on mathematical reasoning
• Potential for ongoing work and contract extension as new projects launch