Formal Verification Scientist (Lean 4 & Mathlib)

About The Role

What if your deepest mathematical instincts could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate complex, human-written mathematics into precise, machine-verifiable Lean proofs — working at the very edge of what proof assistants can express and automate.

This is a fully remote, flexible contract role for mathematicians who love rigorous thinking and want their expertise to matter at the frontier of AI research.

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

What You'll Do

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
• Analyze proofs across domains — identifying hidden assumptions, gaps, and formalizable sub-structures
• Push the boundaries of existing proof assistants by working on problems where automated tools struggle or fail
• Collaborate with AI researchers to design and refine formal verification strategies and pipelines
• Develop readable, well-structured proof scripts aligned with mathematical best practices and Lean idioms
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
• Investigate where automated provers break down — and articulate precisely why
• Create Lean proofs that surface deeper patterns or generalizations hidden in the original mathematics

Who You Are

• Holds a 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 strongly preferred
• Deeply enthusiastic 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
• Mathematically mature — you find satisfaction in precision, structural beauty, and resolving gaps that automated tools cannot bridge

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 in settings where automated reasoning frequently fails or requires manual scaffolding
• Prior experience with data annotation, data quality, or AI evaluation systems
• Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies

Why Join Us

• Work on cutting-edge AI projects alongside leading research labs
• Fully remote and flexible — work when and where it suits you
• Freelance autonomy with the structure of meaningful, technically challenging work
• Contribute to defining the frontier of what formal verification can express and automate
• Exposure to advanced AI systems and how they're trained on mathematical reasoning
• Potential for ongoing work and contract extension as new projects launch