Formal Verification Scientist (Lean 4 & Mathlib)

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

This is a fully remote, flexible contract role built for mathematicians who love precision, structural elegance, and the challenge of pushing formal verification beyond its current limits.

• 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 both 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 in areas where automated tools struggle or fail
• Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines
• Decompose complex arguments into well-structured lemmas and proof scripts aligned with mathematical best practices
• Investigate where automated provers break down and articulate the underlying reasons — missing libraries, complexity barriers, insufficient scaffolding
• Create Lean proofs that reveal deeper patterns or generalizations implicit 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
• Has a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
• Has hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or a comparable proof assistant — Lean strongly preferred
• Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
• Able to translate dense, informal arguments into precise, machine-verifiable form with structural clarity

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 significant manual scaffolding
• Prior experience with data annotation, data quality evaluation, or AI training workflows
• 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 and AI teams
• Fully remote and flexible — work when and where it suits you
• Freelance autonomy with the structure of meaningful, intellectually demanding work
• Contribute to pushing the boundaries of what formal verification and AI can achieve together
• Potential for ongoing work and contract extension as new projects launch