About the Role
What if your deep mathematical training could directly shape how AI understands and generates rigorous proofs? We're looking for mathematicians with hands-on formal verification experience to translate complex human arguments into machine-verifiable Lean 4 proofs — working at the very edge of what automated reasoning can do.
This is a fully remote, flexible contract role for mathematically mature researchers who find beauty in precision and satisfaction in bridging the gap between human intuition and formal logic.
- 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 proofs across domains to surface hidden assumptions, logical gaps, and formalizable sub-structures
- Construct formalizations that stress-test the limits of current proof assistants — especially where automated tools fall short
- Investigate and articulate why automated provers fail: complexity barriers, missing lemmas, insufficient library coverage, and beyond
- Collaborate with AI researchers to design and refine formal verification pipelines
- Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models
- Develop Lean proofs that reveal deeper generalizations or implicit patterns in existing mathematical arguments
Who You Are
- Holder of a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Deeply experienced in rigorous proof construction across areas such as algebra, analysis, topology, logic, or discrete mathematics
- Hands-on with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean strongly preferred
- Genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate dense, informal mathematical arguments into precise, structured formal proofs
- Self-directed and comfortable working independently in an asynchronous, remote environment
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
- Prior experience with data annotation, data quality, or AI evaluation workflows
- Strong written communication skills for explaining formalization decisions, edge cases, and proof strategies
Why Join Us
- Work directly on cutting-edge AI research projects alongside leading AI labs
- Fully remote and flexible — structure your work around your schedule
- Freelance autonomy with intellectually stimulating, high-impact work
- Operate at the frontier of formal mathematics and AI — mapping the boundary of what machines can reason about
- Potential for ongoing work and contract extension as new projects launch