About the Role
What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate complex mathematical arguments into precise, machine-verifiable Lean 4 formalizations for cutting-edge AI research.
This is a fully remote, flexible contract role designed for mathematicians who love working at the intersection of rigorous proof and computer science. If you find satisfaction in taking a dense, elegant argument and expressing it in a form a machine can understand — this role was built for you.
- 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 domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test the limits of existing proof assistants — especially where tools struggle or fail
- Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, insufficient libraries, etc.)
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
- Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
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
- Able to translate informal mathematical arguments into precise, well-structured formal proofs
- Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Detail-oriented, methodical, and comfortable working independently in an async environment
Nice to Have
- Experience with large-scale formalization projects such as Mathlib
- Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
- Exposure to theorem provers where automated reasoning frequently fails or 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
Why Join Us
- Work on cutting-edge AI research projects alongside leading AI labs
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with the structure of meaningful, intellectually stimulating work
- Contribute directly to mapping the frontier of what formal verification can express, capture, and automate
- Potential for ongoing work and contract extension as new projects launch
- Collaborate with a global team of researchers and mathematicians pushing the limits of AI and formal reasoning