Mathematician (Foundations / Formalization)
New York
**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
