Mathematician (Foundations / Formalization)
Alignerr
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
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