Mathematician (Foundations / Formalization)

About The Role

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