Researcher - Lean 4 & Formal Proof Systems

About the role

What if your deep mathematical training could directly shape how the world's most advanced AI systems reason about proof? We're looking for mathematicians with serious formal verification chops to help us map the frontier of what machines can understand, verify, and learn from — working on proofs that push the limits of modern proof assistants like Lean 4. This is a fully remote, flexible contract role built for mathematicians who live at the intersection of rigorous proof and formal systems.

Organization

Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week

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 a comparable formal proof system — Lean 4 strongly preferred
• Are genuinely passionate about formal verification, proof assistants, and the future of mechanized mathematics
• Can translate informal mathematical arguments into clean, structured, machine-verifiable proofs
• Enjoy working at the frontier — where the tools haven't caught up yet and human judgment still matters

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 extensive manual scaffolding
• Prior experience with data annotation, evaluation systems, or AI training data quality
• Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies