Mathematical Formalization Specialist (Lean / Formal Proof Systems)
About The Role
What if your mathematical expertise could directly shape how AI reasons, verifies, and understands formal logic We're looking for mathematicians with deep proof-writing experience to translate complex human arguments into machine-verifiable formalizations — working at the very edge of what AI and proof assistants can do today.
This is a fully remote, flexible contract role built for mathematicians who find beauty in precision and satisfaction in solving problems that automated tools simply cannot.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: Flexible, task-based
What You'll Do
- Translate informal mathematical proofs into Lean (and related proof systems) with a focus on clarity, structure, and correctness
- Analyze generic and domain-specific proofs — identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test and extend the limits of existing proof assistants, especially where tools struggle or fail
- Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
- Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models
- Investigate where automated provers break down and articulate why — surfacing patterns, missing lemmas, or library gaps
Who You Are
- Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Have 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 formal systems — Lean strongly preferred
- Genuinely 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 understand and verify
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 requires manual scaffolding
- Strong written communication skills for documenting formalization decisions, edge cases, and reasoning strategies
Why Join Us
- Work on cutting-edge AI research projects alongside leading AI labs
- Fully remote and asynchronous — work when and how it suits you
- Freelance autonomy with the structure of meaningful, intellectually stimulating work
- Contribute to a frontier discipline that is actively shaping the future of AI reliability and mathematical reasoning
- Potential for ongoing work and contract extension as new formalization projects launch
