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