About the Role
What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about proofs? We're looking for Lean 4 Proof Engineers to translate rigorous mathematical arguments into machine-verifiable formalizations — working at the very edge of what modern proof assistants can express and automate.
This is a fully remote, flexible contract role designed for mathematicians who care about precision, structure, and the future of mechanized mathematics.
- 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 a focus on correctness, clarity, and reproducibility
- Analyze proofs across domains to identify hidden assumptions, logical gaps, and formalizable substructures
- Construct formalizations that probe and stress-test the limits of existing proof assistants
- Investigate where automated provers break down — and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.)
- Collaborate with AI researchers to design and refine formal verification pipelines
- Apply expert judgment in proof decomposition, lemma selection, and structuring strategies
- Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
- Compare machine-verifiable structures against classical textbook arguments
Who You Are
- Holder of a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Rigorous proof writer with deep experience across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Hands-on practitioner with Lean (Lean 3 or Lean 4), with strong preference for Lean 4 experience
- Genuinely excited about formal verification, proof assistants, and the frontier of mechanized mathematics
- Able to take dense, informal mathematical arguments and render them into precise, structured formal proofs
- Self-directed and comfortable working independently in an asynchronous environment
Nice to Have
- Familiarity with Coq, Isabelle/HOL, Agda, or other interactive theorem provers
- Knowledge of type theory, the Curry-Howard correspondence, and proof automation tools
- Experience contributing to large-scale formalization projects such as Mathlib
- Exposure to contexts where automated reasoning regularly fails or requires significant manual scaffolding
- Prior experience with data annotation, evaluation systems, or AI training pipelines
- Strong written communication skills for documenting formalization decisions, edge cases, and proof strategies
Why Join Us
- Work directly with leading AI research labs on some of the most technically demanding problems in formal mathematics
- Fully remote and flexible — structure your hours to fit your life
- Freelance autonomy with the depth and purpose of meaningful, frontier-level work
- Rare opportunity to work where mathematics, computer science, and AI training genuinely intersect
- Potential for ongoing work and contract extension as new projects launch