Mathematician (Foundations / Formalization)

Mathematician (Foundations / Formalization)

What if your deep knowledge of formal systems and rigorous proof methods could directly shape how the world's most advanced AI understands mathematics? We're looking for mathematicians with a passion for formal reasoning to help build the logical foundations that frontier AI models learn from — formalizing advanced mathematical arguments in Lean 4 and contributing to large-scale proof libraries like mathlib.

This is a fully remote, flexible contract role for mathematicians who love working at the intersection of pure mathematics, logic, and formal systems.

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

What You'll Do

• Formalize advanced mathematical arguments and theorems within Lean 4, drawing from graduate-level textbooks and research across mathematical disciplines
• Contribute to the development and quality of large-scale formal mathematical libraries, including mathlib, through clean and readable proof construction
• Audit and verify existing formal proofs for correctness, clarity, and mathematical soundness
• Translate informal mathematical reasoning into structured, machine-checkable formal proofs
• Work independently and asynchronously — fully on your own schedule

Who You Are

• Hold a Master's degree or PhD in Mathematics or a closely related field
• Experienced in rigorous proof writing and formal mathematical reasoning
• Proficient with formal proof assistants — Lean 4 strongly preferred
• Able to bridge the gap between informal mathematical intuition and structured formal systems
• Detail-oriented and precise — you care about getting every step exactly right
• Self-motivated and comfortable working independently without close supervision

Nice to Have

• Prior experience with proof verification, theorem proving, or formalization projects
• Familiarity with mathlib or other large-scale formal mathematical libraries
• Background in data annotation, data quality evaluation, or formal systems research
• Experience with other proof assistants such as Coq, Isabelle, or Agda

Why Join Us

• Work on frontier AI projects alongside world-leading research labs
• Fully remote and flexible — structure your hours around your life
• Freelance autonomy with the depth and substance of genuinely challenging mathematical work
• Make a direct, lasting contribution to how AI reasons about mathematics at a foundational level
• Potential for ongoing work and contract extension as new projects launch