Formal Verification Scientist (Lean 4 & Mathlib)

About The Role

What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for Formal Verification Scientists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the very edge of what proof assistants can express, capture, and automate.

This is a fully remote, flexible contract role for mathematicians who are passionate about formal verification and want their expertise to matter in cutting-edge AI research.

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

What You'll Do

• Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
• Push the boundaries of existing proof assistants, especially where automated tools struggle or fail
• Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Collaborate with researchers to design and refine formal verification strategies for AI training pipelines
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
• Investigate where and why automated provers break down — articulating failure modes clearly and constructively
• Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
  
  

Who You Are

• 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 a comparable formal proof system — Lean 4 strongly preferred
• Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
• Able to translate dense, informal arguments into clean, structured, and correct formal proofs
• Comfortable working independently on complex, open-ended problems
  
  

Nice to Have

• Familiarity with type theory, the Curry-Howard correspondence, and proof automation techniques
• Experience contributing to or working within large-scale formalization projects such as Mathlib
• Exposure to theorem provers in settings where automated reasoning frequently requires 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
  
  

The Ideal Candidate

You're a mathematically mature problem-solver who finds genuine satisfaction in taking a dense, elegant human argument and expressing it in a form a machine can verify. You appreciate precision and structural beauty, and you're energized — not frustrated — by the gaps that automated tools cannot yet bridge. You want your mathematical expertise to contribute to something that matters.

Why Join Us

• Work at the frontier of formal verification and AI research alongside world-leading research labs
• Fully remote and flexible — work when and where it suits you
• Freelance autonomy with the structure of meaningful, technically demanding work
• Gain direct exposure to how advanced LLMs are trained and evaluated on mathematical reasoning
• Contribute to a rapidly evolving field where your work has lasting impact
• Potential for ongoing work and contract extension as new projects launch